DATA 605 Final Exam - Problem 1
pkges <- c("kableExtra", "ggplot2", "psych", "dplyr", "readr", "tidyverse")
# Loop through the packages
for (p in pkges) {
# Check if package is installed
if (!requireNamespace(p, quietly = TRUE)) {
install.packages(p) #If the package is not installed, install the package
library(p, character.only = TRUE) #Load the package
} else {
library(p, character.only = TRUE) #If the package is already installed, load the package
}
}Computational Mathematics
Your final is due by the end of the last week of class. You should post your solutions to your GitHub account or RPubs. You are also expected to make a short presentation via YouTube and post that recording to the board. This project will show off your ability to understand the elements of the class.
Problem 1
Probability Density 1: X~Gamma.
Using R, generate a random variable \(X\) that has \(10,000\) random Gamma pdf values. A Gamma pdf is completely describe by \(n\) (a size parameter) and lambda (λ , a shape parameter). Choose any \(n\) greater \(3\) and an expected value (λ) between \(2\) and \(10\) (you choose).
Solution
To generate a random variable \(X\)
that has \(10,000\) random Gamma pdf
values with size parameter \(n\) and
shape parameter \(\lambda\), I have
used the rgamma() function in R as
indicated in the code below.
The rgamma() function generates random
values from a Gamma distribution, where
shape is the shape parameter (equal to n
in this case) and rate is the rate
parameter (equal to \(1/λ\)). The
n argument specifies the number of random
values to generate.
The values of n and
lambda can be adjusted to generate random
values from different Gamma distributions.
set.seed(081282)
n <- 5 #Size parameter
lambda <- 7 #Lambda Rate/Shape parameter
observation_no <- 10000
X <- rgamma(observation_no, shape = n, rate = lambda)
df <- data.frame(cbind('The random variable x is : ', X))
df %>% kable() %>%
kable_styling(bootstrap_options = "striped", font_size = 12) %>%
scroll_box(height = "300px", width = "100%")| V1 | X |
|---|---|
| The random variable x is : | 1.13096697385109 |
| The random variable x is : | 0.948171262116528 |
| The random variable x is : | 0.87300745678047 |
| The random variable x is : | 0.581051143963487 |
| The random variable x is : | 0.378706255533962 |
| The random variable x is : | 0.510819948142862 |
| The random variable x is : | 0.603799769651433 |
| The random variable x is : | 1.08420415578894 |
| The random variable x is : | 0.633891195007788 |
| The random variable x is : | 0.705444883752412 |
| The random variable x is : | 1.0566525113371 |
| The random variable x is : | 0.810113606877696 |
| The random variable x is : | 0.838221298217623 |
| The random variable x is : | 0.914015746978185 |
| The random variable x is : | 0.863141013356375 |
| The random variable x is : | 0.895410186586518 |
| The random variable x is : | 0.866860569255499 |
| The random variable x is : | 1.2855320500042 |
| The random variable x is : | 0.531853456656628 |
| The random variable x is : | 0.525555321475309 |
| The random variable x is : | 0.366273621284142 |
| The random variable x is : | 1.62968031498555 |
| The random variable x is : | 0.592263691201701 |
| The random variable x is : | 0.646483321007452 |
| The random variable x is : | 0.883118382681942 |
| The random variable x is : | 0.553248979208472 |
| The random variable x is : | 1.12970694305607 |
| The random variable x is : | 0.26909232652907 |
| The random variable x is : | 1.16969045546177 |
| The random variable x is : | 1.56492042949984 |
| The random variable x is : | 0.708297974477294 |
| The random variable x is : | 0.947691737772829 |
| The random variable x is : | 0.901199702698829 |
| The random variable x is : | 0.842464037536126 |
| The random variable x is : | 0.356594111927243 |
| The random variable x is : | 0.59345403438727 |
| The random variable x is : | 1.02681780333231 |
| The random variable x is : | 1.10776357848367 |
| The random variable x is : | 0.351414959700787 |
| The random variable x is : | 1.17238501394563 |
| The random variable x is : | 1.57098183372493 |
| The random variable x is : | 0.238803333159581 |
| The random variable x is : | 0.539811903630623 |
| The random variable x is : | 0.565868835948212 |
| The random variable x is : | 0.473497243673778 |
| The random variable x is : | 0.352126256204267 |
| The random variable x is : | 1.03261011121487 |
| The random variable x is : | 0.752620120657559 |
| The random variable x is : | 0.9230682338447 |
| The random variable x is : | 0.38088824181673 |
| The random variable x is : | 1.08708529783328 |
| The random variable x is : | 0.312395192483121 |
| The random variable x is : | 0.593350062969261 |
| The random variable x is : | 2.64463432351496 |
| The random variable x is : | 1.32915340707712 |
| The random variable x is : | 1.02383582444862 |
| The random variable x is : | 0.552744286594023 |
| The random variable x is : | 0.653216348153635 |
| The random variable x is : | 1.12567103259732 |
| The random variable x is : | 0.465659450529985 |
| The random variable x is : | 1.0340850639215 |
| The random variable x is : | 0.599675305113863 |
| The random variable x is : | 0.409255907517822 |
| The random variable x is : | 1.14628401161446 |
| The random variable x is : | 1.00486414109172 |
| The random variable x is : | 0.854164054333892 |
| The random variable x is : | 0.804854457922509 |
| The random variable x is : | 0.671805130370554 |
| The random variable x is : | 0.209262923212515 |
| The random variable x is : | 0.500635933207617 |
| The random variable x is : | 0.390927637770627 |
| The random variable x is : | 1.19563130107506 |
| The random variable x is : | 0.642924764894779 |
| The random variable x is : | 1.63133433031261 |
| The random variable x is : | 0.692147732577071 |
| The random variable x is : | 0.442829674432414 |
| The random variable x is : | 0.612012582298106 |
| The random variable x is : | 0.309835798277425 |
| The random variable x is : | 0.613268601307305 |
| The random variable x is : | 0.555627686648849 |
| The random variable x is : | 0.361951631757414 |
| The random variable x is : | 0.723789998326703 |
| The random variable x is : | 0.267362480688802 |
| The random variable x is : | 1.0266893060829 |
| The random variable x is : | 0.534876569924395 |
| The random variable x is : | 0.712784719496457 |
| The random variable x is : | 1.01176190664347 |
| The random variable x is : | 0.599020624050363 |
| The random variable x is : | 0.731228685022241 |
| The random variable x is : | 0.843525655004055 |
| The random variable x is : | 0.519706546531094 |
| The random variable x is : | 0.317723665714859 |
| The random variable x is : | 1.12547930466019 |
| The random variable x is : | 0.806441055993649 |
| The random variable x is : | 0.529044896172145 |
| The random variable x is : | 0.975713707371488 |
| The random variable x is : | 0.615159791694266 |
| The random variable x is : | 0.34019364810034 |
| The random variable x is : | 0.635770350186553 |
| The random variable x is : | 0.702164125979548 |
| The random variable x is : | 0.920532965393339 |
| The random variable x is : | 0.87422835297838 |
| The random variable x is : | 0.836396477361906 |
| The random variable x is : | 0.799625337705665 |
| The random variable x is : | 0.643621805219318 |
| The random variable x is : | 1.45181452726827 |
| The random variable x is : | 0.887601006928584 |
| The random variable x is : | 1.04198497747143 |
| The random variable x is : | 0.725047813578569 |
| The random variable x is : | 0.25378798142886 |
| The random variable x is : | 0.730406975171072 |
| The random variable x is : | 0.600853724967973 |
| The random variable x is : | 1.33055944415949 |
| The random variable x is : | 0.85913062469587 |
| The random variable x is : | 0.576873835187069 |
| The random variable x is : | 0.982040987718279 |
| The random variable x is : | 0.343065661701802 |
| The random variable x is : | 0.887610236295665 |
| The random variable x is : | 0.33318818828795 |
| The random variable x is : | 0.691059652902858 |
| The random variable x is : | 0.563998782518418 |
| The random variable x is : | 0.314927124154052 |
| The random variable x is : | 0.728532164442778 |
| The random variable x is : | 0.576270609975544 |
| The random variable x is : | 0.43290619553002 |
| The random variable x is : | 1.8711256413013 |
| The random variable x is : | 0.395823233435693 |
| The random variable x is : | 0.536773480855641 |
| The random variable x is : | 0.783596944098582 |
| The random variable x is : | 0.570637539365733 |
| The random variable x is : | 0.327923617118425 |
| The random variable x is : | 0.352769510263515 |
| The random variable x is : | 0.84296326901437 |
| The random variable x is : | 0.757823625560812 |
| The random variable x is : | 0.57680638287635 |
| The random variable x is : | 0.556192695119742 |
| The random variable x is : | 0.613024370640699 |
| The random variable x is : | 1.04197923721625 |
| The random variable x is : | 0.349730094127969 |
| The random variable x is : | 1.25328311264769 |
| The random variable x is : | 0.662440296955688 |
| The random variable x is : | 0.339856434757775 |
| The random variable x is : | 0.759440215587954 |
| The random variable x is : | 0.483457674503 |
| The random variable x is : | 0.661024894705666 |
| The random variable x is : | 0.51779082538305 |
| The random variable x is : | 0.338442739237855 |
| The random variable x is : | 0.619098630144239 |
| The random variable x is : | 0.768873979099351 |
| The random variable x is : | 1.20477129042549 |
| The random variable x is : | 0.806576847645144 |
| The random variable x is : | 0.265436155966937 |
| The random variable x is : | 1.02667335606341 |
| The random variable x is : | 0.898567528139038 |
| The random variable x is : | 0.779735778599158 |
| The random variable x is : | 0.784516513467563 |
| The random variable x is : | 0.626112964548799 |
| The random variable x is : | 0.448375560184598 |
| The random variable x is : | 0.417340913479818 |
| The random variable x is : | 0.802719233614688 |
| The random variable x is : | 0.514808054649475 |
| The random variable x is : | 1.36561034746115 |
| The random variable x is : | 0.560038724378617 |
| The random variable x is : | 0.51618388480105 |
| The random variable x is : | 0.878420947927772 |
| The random variable x is : | 0.630231272799493 |
| The random variable x is : | 0.255154546115969 |
| The random variable x is : | 0.766541294636282 |
| The random variable x is : | 0.542093487973938 |
| The random variable x is : | 0.615138144608084 |
| The random variable x is : | 0.365155405972279 |
| The random variable x is : | 0.605726688134488 |
| The random variable x is : | 0.93443667445163 |
| The random variable x is : | 0.483142186320325 |
| The random variable x is : | 1.28776941563388 |
| The random variable x is : | 0.544490596280341 |
| The random variable x is : | 1.08882803003175 |
| The random variable x is : | 1.65520700412973 |
| The random variable x is : | 0.777564173383479 |
| The random variable x is : | 0.362745194621594 |
| The random variable x is : | 0.38869085659523 |
| The random variable x is : | 0.400391715289507 |
| The random variable x is : | 0.800886043577766 |
| The random variable x is : | 0.428373348028883 |
| The random variable x is : | 0.267535775256467 |
| The random variable x is : | 0.636796020686991 |
| The random variable x is : | 0.53986263379579 |
| The random variable x is : | 0.385629554500299 |
| The random variable x is : | 0.527123637902878 |
| The random variable x is : | 0.28542020902894 |
| The random variable x is : | 0.75175058038056 |
| The random variable x is : | 1.33918415166685 |
| The random variable x is : | 0.656772396195854 |
| The random variable x is : | 0.699181664612804 |
| The random variable x is : | 0.869404545757866 |
| The random variable x is : | 1.05114637658061 |
| The random variable x is : | 0.488518867754494 |
| The random variable x is : | 0.88524300548065 |
| The random variable x is : | 0.599396927952451 |
| The random variable x is : | 1.16390034297234 |
| The random variable x is : | 0.522633057657979 |
| The random variable x is : | 0.388267937438117 |
| The random variable x is : | 0.381472972529336 |
| The random variable x is : | 0.864806638933531 |
| The random variable x is : | 0.28515691106972 |
| The random variable x is : | 0.43406859457431 |
| The random variable x is : | 0.950978715106713 |
| The random variable x is : | 1.52103388118004 |
| The random variable x is : | 0.583969632963073 |
| The random variable x is : | 0.812875919565039 |
| The random variable x is : | 0.923799694026845 |
| The random variable x is : | 0.548425619276167 |
| The random variable x is : | 0.459995918647868 |
| The random variable x is : | 1.16727502344131 |
| The random variable x is : | 0.465034810843393 |
| The random variable x is : | 0.436199871116753 |
| The random variable x is : | 1.12073243853456 |
| The random variable x is : | 0.560157670826297 |
| The random variable x is : | 0.962019996674481 |
| The random variable x is : | 0.586253419050652 |
| The random variable x is : | 0.470395865092172 |
| The random variable x is : | 1.27770704274966 |
| The random variable x is : | 0.565642809049719 |
| The random variable x is : | 0.789632025448233 |
| The random variable x is : | 0.880180374348411 |
| The random variable x is : | 0.575709810856506 |
| The random variable x is : | 0.657644092029538 |
| The random variable x is : | 0.744732773337313 |
| The random variable x is : | 1.15292179293278 |
| The random variable x is : | 0.65350693654806 |
| The random variable x is : | 0.497495413499409 |
| The random variable x is : | 1.12771923219242 |
| The random variable x is : | 0.495490368655254 |
| The random variable x is : | 0.438931458959464 |
| The random variable x is : | 0.891675938927982 |
| The random variable x is : | 0.515504133817762 |
| The random variable x is : | 0.49439770090177 |
| The random variable x is : | 0.213191644330587 |
| The random variable x is : | 0.945945295267588 |
| The random variable x is : | 0.575413793430051 |
| The random variable x is : | 0.761892674479725 |
| The random variable x is : | 0.626317949502996 |
| The random variable x is : | 1.05656168577629 |
| The random variable x is : | 1.01732223906186 |
| The random variable x is : | 0.484232878867301 |
| The random variable x is : | 0.373490958149221 |
| The random variable x is : | 0.629250198217584 |
| The random variable x is : | 0.34275172874774 |
| The random variable x is : | 0.259091430251786 |
| The random variable x is : | 0.702916313246837 |
| The random variable x is : | 0.413724492548246 |
| The random variable x is : | 0.670983652959812 |
| The random variable x is : | 0.756387405759623 |
| The random variable x is : | 0.566258554713528 |
| The random variable x is : | 1.27454552116354 |
| The random variable x is : | 0.775617015262809 |
| The random variable x is : | 1.02436807851443 |
| The random variable x is : | 0.469189284231621 |
| The random variable x is : | 1.17374238127826 |
| The random variable x is : | 0.520706289126576 |
| The random variable x is : | 0.818239165030489 |
| The random variable x is : | 0.262308678369073 |
| The random variable x is : | 0.9943292737071 |
| The random variable x is : | 1.20865612137573 |
| The random variable x is : | 0.289445020130509 |
| The random variable x is : | 0.495936477618754 |
| The random variable x is : | 0.875867178596607 |
| The random variable x is : | 0.781728850190469 |
| The random variable x is : | 0.741253983722437 |
| The random variable x is : | 0.725934566664368 |
| The random variable x is : | 0.970911296364686 |
| The random variable x is : | 0.393083332844286 |
| The random variable x is : | 0.878760612206141 |
| The random variable x is : | 0.839858750011528 |
| The random variable x is : | 0.406103722400901 |
| The random variable x is : | 0.68673412714379 |
| The random variable x is : | 0.422626717165762 |
| The random variable x is : | 0.332393547185058 |
| The random variable x is : | 0.440203737402566 |
| The random variable x is : | 0.659836623339133 |
| The random variable x is : | 0.400294552165465 |
| The random variable x is : | 0.286129465964921 |
| The random variable x is : | 0.293502943689467 |
| The random variable x is : | 0.605934372636102 |
| The random variable x is : | 0.875001652395434 |
| The random variable x is : | 0.932426114139756 |
| The random variable x is : | 0.767417816403616 |
| The random variable x is : | 1.67316375546474 |
| The random variable x is : | 0.887827924841175 |
| The random variable x is : | 1.16272646252001 |
| The random variable x is : | 0.977238617752069 |
| The random variable x is : | 1.276811332675 |
| The random variable x is : | 0.955049136178101 |
| The random variable x is : | 0.474107497070704 |
| The random variable x is : | 0.561458310711289 |
| The random variable x is : | 0.842501404183201 |
| The random variable x is : | 0.46049003213524 |
| The random variable x is : | 0.483912186755561 |
| The random variable x is : | 1.22107935647511 |
| The random variable x is : | 0.807602724518848 |
| The random variable x is : | 0.329461105913591 |
| The random variable x is : | 0.322916186946495 |
| The random variable x is : | 0.604412738615155 |
| The random variable x is : | 0.622807012115061 |
| The random variable x is : | 0.887459862430854 |
| The random variable x is : | 0.629173943862262 |
| The random variable x is : | 0.759494130960336 |
| The random variable x is : | 0.958188600710927 |
| The random variable x is : | 0.948975763433405 |
| The random variable x is : | 0.965778386779325 |
| The random variable x is : | 0.397700753349583 |
| The random variable x is : | 0.57508703705469 |
| The random variable x is : | 0.45067537468281 |
| The random variable x is : | 0.742406852035078 |
| The random variable x is : | 0.423172167978937 |
| The random variable x is : | 0.438493505679968 |
| The random variable x is : | 0.304905599631976 |
| The random variable x is : | 0.78295110863863 |
| The random variable x is : | 0.492774974878497 |
| The random variable x is : | 0.377824395887759 |
| The random variable x is : | 0.606366447830303 |
| The random variable x is : | 1.10539339127016 |
| The random variable x is : | 0.529220355483163 |
| The random variable x is : | 0.749469762321114 |
| The random variable x is : | 1.73578437321984 |
| The random variable x is : | 0.945001040637905 |
| The random variable x is : | 0.733646368985891 |
| The random variable x is : | 1.03043253469756 |
| The random variable x is : | 0.703758639306765 |
| The random variable x is : | 1.21136081968188 |
| The random variable x is : | 1.1788240439027 |
| The random variable x is : | 0.334883517997978 |
| The random variable x is : | 0.530664572341804 |
| The random variable x is : | 0.729177096441983 |
| The random variable x is : | 0.693325083466182 |
| The random variable x is : | 0.651146510209093 |
| The random variable x is : | 0.410561508118681 |
| The random variable x is : | 0.629195446312062 |
| The random variable x is : | 0.862333330953604 |
| The random variable x is : | 0.230354027833095 |
| The random variable x is : | 0.55462923024461 |
| The random variable x is : | 0.603094629352722 |
| The random variable x is : | 0.443389107586137 |
| The random variable x is : | 0.671591394200866 |
| The random variable x is : | 0.991132425355113 |
| The random variable x is : | 0.951646787769653 |
| The random variable x is : | 1.1420820779666 |
| The random variable x is : | 0.471693892579416 |
| The random variable x is : | 0.98002139682071 |
| The random variable x is : | 0.362285166917513 |
| The random variable x is : | 0.412395468056603 |
| The random variable x is : | 0.564681345297878 |
| The random variable x is : | 0.473549981918341 |
| The random variable x is : | 0.277444563967932 |
| The random variable x is : | 0.49591311566805 |
| The random variable x is : | 1.08796603724838 |
| The random variable x is : | 0.408776268286808 |
| The random variable x is : | 0.579457390034402 |
| The random variable x is : | 0.617193684374898 |
| The random variable x is : | 0.416010441658311 |
| The random variable x is : | 0.76690286336606 |
| The random variable x is : | 0.861196633660757 |
| The random variable x is : | 0.588249318349378 |
| The random variable x is : | 0.80356591412894 |
| The random variable x is : | 0.809614540500557 |
| The random variable x is : | 0.75987027964682 |
| The random variable x is : | 0.478586031674855 |
| The random variable x is : | 1.23062879554848 |
| The random variable x is : | 0.534478234768311 |
| The random variable x is : | 0.71950016762899 |
| The random variable x is : | 0.47014765932861 |
| The random variable x is : | 0.80551221231981 |
| The random variable x is : | 1.01480132911117 |
| The random variable x is : | 0.362082625291576 |
| The random variable x is : | 0.740402396671604 |
| The random variable x is : | 0.749236776904604 |
| The random variable x is : | 1.07227306755228 |
| The random variable x is : | 0.570780465020657 |
| The random variable x is : | 0.729421951534869 |
| The random variable x is : | 0.831191072084955 |
| The random variable x is : | 0.234339441340063 |
| The random variable x is : | 0.450964083362381 |
| The random variable x is : | 0.594721605188831 |
| The random variable x is : | 0.767706978776518 |
| The random variable x is : | 0.622267627758008 |
| The random variable x is : | 0.365716070524949 |
| The random variable x is : | 0.70682132090641 |
| The random variable x is : | 0.714163068449696 |
| The random variable x is : | 0.953849666144383 |
| The random variable x is : | 0.836239549291705 |
| The random variable x is : | 0.227395761981592 |
| The random variable x is : | 0.643335506454329 |
| The random variable x is : | 0.382125868995827 |
| The random variable x is : | 0.464736672138244 |
| The random variable x is : | 0.669210106015413 |
| The random variable x is : | 1.02773482350766 |
| The random variable x is : | 0.514127651727954 |
| The random variable x is : | 0.979980932689044 |
| The random variable x is : | 0.951883383518027 |
| The random variable x is : | 0.647535712991105 |
| The random variable x is : | 0.361767322170078 |
| The random variable x is : | 0.65835402462387 |
| The random variable x is : | 0.982837002077495 |
| The random variable x is : | 0.507739073124095 |
| The random variable x is : | 0.344163426046158 |
| The random variable x is : | 0.825263881719998 |
| The random variable x is : | 0.91914353283633 |
| The random variable x is : | 0.999094193675983 |
| The random variable x is : | 0.794267583512288 |
| The random variable x is : | 1.0512084290268 |
| The random variable x is : | 0.524386982467814 |
| The random variable x is : | 0.715028953484201 |
| The random variable x is : | 0.889453441578627 |
| The random variable x is : | 0.630736024989117 |
| The random variable x is : | 0.579479154564533 |
| The random variable x is : | 0.98226341855624 |
| The random variable x is : | 1.01602850014396 |
| The random variable x is : | 0.437987994059036 |
| The random variable x is : | 0.862265012435299 |
| The random variable x is : | 0.479042369578117 |
| The random variable x is : | 0.443503760611302 |
| The random variable x is : | 0.693573202401964 |
| The random variable x is : | 0.450418961550799 |
| The random variable x is : | 0.581110716953596 |
| The random variable x is : | 1.56414081256085 |
| The random variable x is : | 0.739726951970726 |
| The random variable x is : | 0.351705552641987 |
| The random variable x is : | 0.595506142389343 |
| The random variable x is : | 0.413766586122545 |
| The random variable x is : | 0.325335474476305 |
| The random variable x is : | 0.936875677422789 |
| The random variable x is : | 0.455982069066378 |
| The random variable x is : | 0.598616708999952 |
| The random variable x is : | 0.511522109564123 |
| The random variable x is : | 0.461022184130383 |
| The random variable x is : | 0.927501405021857 |
| The random variable x is : | 0.249952472666354 |
| The random variable x is : | 0.449957254328586 |
| The random variable x is : | 1.06618689816291 |
| The random variable x is : | 0.338964824188882 |
| The random variable x is : | 0.798233454882628 |
| The random variable x is : | 0.412433146960098 |
| The random variable x is : | 0.247335921206418 |
| The random variable x is : | 0.930018118400296 |
| The random variable x is : | 0.347272494796357 |
| The random variable x is : | 0.266793536227551 |
| The random variable x is : | 0.610465361837927 |
| The random variable x is : | 0.56112883234524 |
| The random variable x is : | 1.36343010331491 |
| The random variable x is : | 1.0377039366272 |
| The random variable x is : | 0.489384181784366 |
| The random variable x is : | 0.90333144025228 |
| The random variable x is : | 1.0099780801927 |
| The random variable x is : | 0.935097723501674 |
| The random variable x is : | 0.56396119895318 |
| The random variable x is : | 0.583319943938431 |
| The random variable x is : | 0.382062392495876 |
| The random variable x is : | 0.73229711366047 |
| The random variable x is : | 0.446961146419985 |
| The random variable x is : | 0.624696256662978 |
| The random variable x is : | 0.866960093373691 |
| The random variable x is : | 0.678987289034096 |
| The random variable x is : | 0.771937935508053 |
| The random variable x is : | 0.867578847617786 |
| The random variable x is : | 0.847109132386674 |
| The random variable x is : | 0.485393637190886 |
| The random variable x is : | 1.53092207518345 |
| The random variable x is : | 0.6692663599403 |
| The random variable x is : | 1.335066585447 |
| The random variable x is : | 1.10573277965059 |
| The random variable x is : | 0.22325255135893 |
| The random variable x is : | 1.25814980778052 |
| The random variable x is : | 0.442592829524339 |
| The random variable x is : | 1.03768771323016 |
| The random variable x is : | 1.02681607393614 |
| The random variable x is : | 0.896367082130227 |
| The random variable x is : | 1.83248863742673 |
| The random variable x is : | 0.597043591958741 |
| The random variable x is : | 0.720730267320651 |
| The random variable x is : | 0.536304345818877 |
| The random variable x is : | 0.814690298098713 |
| The random variable x is : | 0.295303153915507 |
| The random variable x is : | 0.481466180654323 |
| The random variable x is : | 0.347459921130249 |
| The random variable x is : | 0.810547352432214 |
| The random variable x is : | 0.4496091223033 |
| The random variable x is : | 1.01030289512933 |
| The random variable x is : | 0.288049910529787 |
| The random variable x is : | 0.908212124750001 |
| The random variable x is : | 0.515932876121449 |
| The random variable x is : | 0.770095197454739 |
| The random variable x is : | 0.918925528825072 |
| The random variable x is : | 2.29539955572611 |
| The random variable x is : | 1.66666650900156 |
| The random variable x is : | 0.562525077724442 |
| The random variable x is : | 0.299829835262492 |
| The random variable x is : | 0.598817852179295 |
| The random variable x is : | 0.298779162356631 |
| The random variable x is : | 0.999306039015525 |
| The random variable x is : | 0.785504530969287 |
| The random variable x is : | 0.936685841437907 |
| The random variable x is : | 1.09034889766199 |
| The random variable x is : | 0.227993245903122 |
| The random variable x is : | 0.726322284090807 |
| The random variable x is : | 0.503456781802203 |
| The random variable x is : | 0.83810071424224 |
| The random variable x is : | 0.324484105288454 |
| The random variable x is : | 1.00481903637979 |
| The random variable x is : | 1.30679541618458 |
| The random variable x is : | 1.30582418123525 |
| The random variable x is : | 0.460306618922824 |
| The random variable x is : | 0.660272123110321 |
| The random variable x is : | 0.403102823962816 |
| The random variable x is : | 0.917536241040071 |
| The random variable x is : | 0.986633146416946 |
| The random variable x is : | 0.826181784049072 |
| The random variable x is : | 0.628492767366561 |
| The random variable x is : | 0.874305097633558 |
| The random variable x is : | 0.586864953157644 |
| The random variable x is : | 0.591257692643405 |
| The random variable x is : | 0.428249271874733 |
| The random variable x is : | 0.704358811444853 |
| The random variable x is : | 0.603444933579258 |
| The random variable x is : | 0.990950845925418 |
| The random variable x is : | 0.529672861178145 |
| The random variable x is : | 1.49268176812196 |
| The random variable x is : | 1.03775961474636 |
| The random variable x is : | 0.649392986610635 |
| The random variable x is : | 0.76081819487036 |
| The random variable x is : | 0.290537529405731 |
| The random variable x is : | 0.994914649112321 |
| The random variable x is : | 0.797650359914603 |
| The random variable x is : | 1.03498033478765 |
| The random variable x is : | 0.809898949323966 |
| The random variable x is : | 0.74471688243676 |
| The random variable x is : | 0.810530621839622 |
| The random variable x is : | 0.996004560966453 |
| The random variable x is : | 0.853183401341246 |
| The random variable x is : | 0.722034300519999 |
| The random variable x is : | 0.386136093127654 |
| The random variable x is : | 0.606647481872327 |
| The random variable x is : | 0.627895523444652 |
| The random variable x is : | 0.877798314382586 |
| The random variable x is : | 0.826031819752691 |
| The random variable x is : | 0.866861403790184 |
| The random variable x is : | 0.597446841317044 |
| The random variable x is : | 0.441755296924911 |
| The random variable x is : | 0.905531661215893 |
| The random variable x is : | 0.565107146397061 |
| The random variable x is : | 0.806093219278373 |
| The random variable x is : | 0.535674740247836 |
| The random variable x is : | 0.567616035847616 |
| The random variable x is : | 0.884721509010395 |
| The random variable x is : | 1.17184582938975 |
| The random variable x is : | 0.567560820162697 |
| The random variable x is : | 0.972255091754597 |
| The random variable x is : | 0.531679467429102 |
| The random variable x is : | 0.768840191927073 |
| The random variable x is : | 0.463479516989536 |
| The random variable x is : | 1.07780434651506 |
| The random variable x is : | 0.935332747907623 |
| The random variable x is : | 0.368229961949808 |
| The random variable x is : | 0.905872644500207 |
| The random variable x is : | 1.20336748419194 |
| The random variable x is : | 0.844190159697057 |
| The random variable x is : | 1.10220301076335 |
| The random variable x is : | 0.297993662116854 |
| The random variable x is : | 0.248756673749134 |
| The random variable x is : | 0.579320886395518 |
| The random variable x is : | 0.612069872037839 |
| The random variable x is : | 0.567901724911058 |
| The random variable x is : | 0.865310103315362 |
| The random variable x is : | 1.06522066293826 |
| The random variable x is : | 0.425373199995982 |
| The random variable x is : | 0.525004321168504 |
| The random variable x is : | 0.974514884511867 |
| The random variable x is : | 0.829277532347079 |
| The random variable x is : | 0.438559675103619 |
| The random variable x is : | 0.556530528032394 |
| The random variable x is : | 0.790202835373745 |
| The random variable x is : | 0.582151998764788 |
| The random variable x is : | 0.630308458167956 |
| The random variable x is : | 0.456571218925589 |
| The random variable x is : | 0.782449467139505 |
| The random variable x is : | 0.61388371636825 |
| The random variable x is : | 1.19887712671211 |
| The random variable x is : | 0.99147541283977 |
| The random variable x is : | 0.938594851915375 |
| The random variable x is : | 0.415211363044585 |
| The random variable x is : | 0.795190087335086 |
| The random variable x is : | 0.547151826983311 |
| The random variable x is : | 1.30984044979606 |
| The random variable x is : | 0.566190433751565 |
| The random variable x is : | 0.838783758107971 |
| The random variable x is : | 0.563489439727871 |
| The random variable x is : | 0.700360542946678 |
| The random variable x is : | 0.277141980765203 |
| The random variable x is : | 0.829709751211662 |
| The random variable x is : | 1.31764296497141 |
| The random variable x is : | 1.18019980074389 |
| The random variable x is : | 1.10108322142311 |
| The random variable x is : | 0.648551730208565 |
| The random variable x is : | 0.640916344540283 |
| The random variable x is : | 0.488030166020172 |
| The random variable x is : | 0.287340938316198 |
| The random variable x is : | 1.41012843090086 |
| The random variable x is : | 1.06188682003526 |
| The random variable x is : | 0.95341607858485 |
| The random variable x is : | 0.41017855129445 |
| The random variable x is : | 1.79860321275771 |
| The random variable x is : | 0.881346429820997 |
| The random variable x is : | 0.646182173052569 |
| The random variable x is : | 0.559523323617975 |
| The random variable x is : | 0.461468343447211 |
| The random variable x is : | 0.399470488496384 |
| The random variable x is : | 0.56643825275627 |
| The random variable x is : | 0.856693539013198 |
| The random variable x is : | 0.517884184808368 |
| The random variable x is : | 0.421850496127191 |
| The random variable x is : | 0.611485022449756 |
| The random variable x is : | 0.953006301958208 |
| The random variable x is : | 0.781887521764947 |
| The random variable x is : | 0.810795900949421 |
| The random variable x is : | 0.448436127447138 |
| The random variable x is : | 0.604330726342843 |
| The random variable x is : | 0.83125420263248 |
| The random variable x is : | 0.960441177016481 |
| The random variable x is : | 0.530730128838943 |
| The random variable x is : | 0.774507483239949 |
| The random variable x is : | 0.850121756632462 |
| The random variable x is : | 0.401381577794657 |
| The random variable x is : | 0.898946985996152 |
| The random variable x is : | 1.21487321163252 |
| The random variable x is : | 0.698846323434194 |
| The random variable x is : | 0.969744732724136 |
| The random variable x is : | 0.464254996687866 |
| The random variable x is : | 0.471400335312569 |
| The random variable x is : | 0.535624320557975 |
| The random variable x is : | 0.80851899739821 |
| The random variable x is : | 0.445790693320733 |
| The random variable x is : | 0.364862157252497 |
| The random variable x is : | 0.700179240977335 |
| The random variable x is : | 0.402472072524584 |
| The random variable x is : | 0.474831094186345 |
| The random variable x is : | 0.836839208084723 |
| The random variable x is : | 0.527188740540046 |
| The random variable x is : | 0.911501715314546 |
| The random variable x is : | 1.35202042128106 |
| The random variable x is : | 1.34576671196737 |
| The random variable x is : | 1.05812739241271 |
| The random variable x is : | 1.17334108156149 |
| The random variable x is : | 1.04217848444173 |
| The random variable x is : | 0.551519304273339 |
| The random variable x is : | 0.430575582528746 |
| The random variable x is : | 0.806380284233541 |
| The random variable x is : | 0.640444869015535 |
| The random variable x is : | 0.407616360039503 |
| The random variable x is : | 0.81232778774133 |
| The random variable x is : | 0.998221658541748 |
| The random variable x is : | 0.914074157052458 |
| The random variable x is : | 0.770916621666694 |
| The random variable x is : | 0.753875048938104 |
| The random variable x is : | 0.823329978226908 |
| The random variable x is : | 0.987052885113626 |
| The random variable x is : | 1.21780236231262 |
| The random variable x is : | 0.650354148214624 |
| The random variable x is : | 0.491020340579624 |
| The random variable x is : | 0.63504745729698 |
| The random variable x is : | 0.773179308194187 |
| The random variable x is : | 0.650235124421008 |
| The random variable x is : | 0.330819200903022 |
| The random variable x is : | 1.52813253188022 |
| The random variable x is : | 0.675205787714829 |
| The random variable x is : | 1.05304760401715 |
| The random variable x is : | 0.61637908984837 |
| The random variable x is : | 1.02425814920634 |
| The random variable x is : | 0.710019678883334 |
| The random variable x is : | 0.712376846015828 |
| The random variable x is : | 0.884744300277084 |
| The random variable x is : | 1.11593723629477 |
| The random variable x is : | 0.668858707417148 |
| The random variable x is : | 0.415569305514146 |
| The random variable x is : | 0.876027434334149 |
| The random variable x is : | 0.584794667728421 |
| The random variable x is : | 0.374504180958675 |
| The random variable x is : | 0.690946939090562 |
| The random variable x is : | 0.426825520436149 |
| The random variable x is : | 0.78579812065382 |
| The random variable x is : | 0.366655996685232 |
| The random variable x is : | 0.505358943788636 |
| The random variable x is : | 0.784984407533635 |
| The random variable x is : | 0.313521755409874 |
| The random variable x is : | 0.675729737732762 |
| The random variable x is : | 0.701759329890665 |
| The random variable x is : | 0.762051509320125 |
| The random variable x is : | 0.454022654392858 |
| The random variable x is : | 0.697500929320456 |
| The random variable x is : | 1.17594198493594 |
| The random variable x is : | 0.596224887887021 |
| The random variable x is : | 0.681572853828871 |
| The random variable x is : | 0.973675240763503 |
| The random variable x is : | 0.526246110124466 |
| The random variable x is : | 0.207124466966548 |
| The random variable x is : | 0.910160089644759 |
| The random variable x is : | 0.661019985503386 |
| The random variable x is : | 1.40642837906454 |
| The random variable x is : | 0.788979998024317 |
| The random variable x is : | 0.457116791684767 |
| The random variable x is : | 0.756366208488514 |
| The random variable x is : | 0.528091288244725 |
| The random variable x is : | 0.607103889273699 |
| The random variable x is : | 1.60326558426529 |
| The random variable x is : | 1.01017363430279 |
| The random variable x is : | 0.803074319061 |
| The random variable x is : | 0.187165084395707 |
| The random variable x is : | 0.489583759740708 |
| The random variable x is : | 0.536470644559206 |
| The random variable x is : | 0.522184208912445 |
| The random variable x is : | 1.83644040457523 |
| The random variable x is : | 0.178950821239739 |
| The random variable x is : | 1.01447363403139 |
| The random variable x is : | 0.737191625831805 |
| The random variable x is : | 1.10885880097632 |
| The random variable x is : | 0.421947631229185 |
| The random variable x is : | 0.918396754686556 |
| The random variable x is : | 0.503510175461468 |
| The random variable x is : | 0.518001388643066 |
| The random variable x is : | 0.374121556612495 |
| The random variable x is : | 0.896897116783267 |
| The random variable x is : | 0.421647800389206 |
| The random variable x is : | 1.26908891591532 |
| The random variable x is : | 0.472276107364187 |
| The random variable x is : | 0.953783695137903 |
| The random variable x is : | 0.930109425232058 |
| The random variable x is : | 0.435714827574265 |
| The random variable x is : | 0.935958677265046 |
| The random variable x is : | 0.481503617536777 |
| The random variable x is : | 0.461541168400789 |
| The random variable x is : | 0.516217354495288 |
| The random variable x is : | 0.996609963867952 |
| The random variable x is : | 0.914517157951739 |
| The random variable x is : | 0.760465292907572 |
| The random variable x is : | 0.836955553538181 |
| The random variable x is : | 1.11354649730102 |
| The random variable x is : | 0.704617038429614 |
| The random variable x is : | 0.981278424880669 |
| The random variable x is : | 0.380339040764876 |
| The random variable x is : | 0.936859704659918 |
| The random variable x is : | 0.635134029242223 |
| The random variable x is : | 0.164408951719757 |
| The random variable x is : | 0.852638628747576 |
| The random variable x is : | 1.01136374520264 |
| The random variable x is : | 0.483356567871691 |
| The random variable x is : | 0.28307413155645 |
| The random variable x is : | 0.563503810678614 |
| The random variable x is : | 0.342556215513425 |
| The random variable x is : | 0.272910011693491 |
| The random variable x is : | 0.445690512828675 |
| The random variable x is : | 0.363407857288197 |
| The random variable x is : | 0.142246952803033 |
| The random variable x is : | 0.978337281798937 |
| The random variable x is : | 0.55252901028569 |
| The random variable x is : | 0.839429749629634 |
| The random variable x is : | 0.779906885767741 |
| The random variable x is : | 0.833570054297323 |
| The random variable x is : | 1.05292530378619 |
| The random variable x is : | 0.288928860105597 |
| The random variable x is : | 1.09002215407762 |
| The random variable x is : | 1.42143810068704 |
| The random variable x is : | 0.949518330127567 |
| The random variable x is : | 1.15485074378126 |
| The random variable x is : | 0.702395389571751 |
| The random variable x is : | 0.634216740298451 |
| The random variable x is : | 0.531749276518857 |
| The random variable x is : | 0.841146922244414 |
| The random variable x is : | 0.269280193872696 |
| The random variable x is : | 0.553353941040093 |
| The random variable x is : | 0.276351998962951 |
| The random variable x is : | 1.01228224861616 |
| The random variable x is : | 0.862825399269972 |
| The random variable x is : | 0.494023469566962 |
| The random variable x is : | 0.944994349222066 |
| The random variable x is : | 1.18076164776885 |
| The random variable x is : | 1.12937135073427 |
| The random variable x is : | 0.991039263861943 |
| The random variable x is : | 0.884455017114776 |
| The random variable x is : | 1.14240167974679 |
| The random variable x is : | 0.829079876228262 |
| The random variable x is : | 1.12394360515597 |
| The random variable x is : | 0.760490330921691 |
| The random variable x is : | 0.851533607357884 |
| The random variable x is : | 1.23993976829708 |
| The random variable x is : | 0.814878567662341 |
| The random variable x is : | 0.661658125643338 |
| The random variable x is : | 0.624588109943491 |
| The random variable x is : | 0.374268136112758 |
| The random variable x is : | 0.831623295710968 |
| The random variable x is : | 0.464770513294343 |
| The random variable x is : | 0.349146354860171 |
| The random variable x is : | 0.47289459645502 |
| The random variable x is : | 0.382912112213342 |
| The random variable x is : | 0.685398240197462 |
| The random variable x is : | 1.04735654445222 |
| The random variable x is : | 1.01550161612607 |
| The random variable x is : | 0.462709561316727 |
| The random variable x is : | 0.689847714805575 |
| The random variable x is : | 0.47758757736749 |
| The random variable x is : | 0.317845125106197 |
| The random variable x is : | 0.989820249653102 |
| The random variable x is : | 0.602457971514846 |
| The random variable x is : | 0.549620047274286 |
| The random variable x is : | 0.762405022601305 |
| The random variable x is : | 1.4169730657427 |
| The random variable x is : | 0.319822179856995 |
| The random variable x is : | 0.707054535562078 |
| The random variable x is : | 0.373913982711695 |
| The random variable x is : | 0.397796124421687 |
| The random variable x is : | 0.492203373662556 |
| The random variable x is : | 0.507820378959094 |
| The random variable x is : | 0.682705751097503 |
| The random variable x is : | 0.808488024812568 |
| The random variable x is : | 0.250036445119691 |
| The random variable x is : | 0.911661182909726 |
| The random variable x is : | 0.549790286453415 |
| The random variable x is : | 0.641027933703536 |
| The random variable x is : | 0.720547438371455 |
| The random variable x is : | 0.333782765020928 |
| The random variable x is : | 0.768209650905103 |
| The random variable x is : | 0.292371959598097 |
| The random variable x is : | 1.08939448288385 |
| The random variable x is : | 0.478256211992579 |
| The random variable x is : | 1.07673525500374 |
| The random variable x is : | 0.947157291176195 |
| The random variable x is : | 0.539562323484889 |
| The random variable x is : | 0.518878428081423 |
| The random variable x is : | 0.301827679010391 |
| The random variable x is : | 0.465319065916692 |
| The random variable x is : | 0.123868385783019 |
| The random variable x is : | 0.865122142583011 |
| The random variable x is : | 0.83790539055732 |
| The random variable x is : | 0.469699074466867 |
| The random variable x is : | 0.382305350897739 |
| The random variable x is : | 0.659262828442074 |
| The random variable x is : | 0.793613584439261 |
| The random variable x is : | 0.785083068856576 |
| The random variable x is : | 0.552807080260551 |
| The random variable x is : | 0.657634281760522 |
| The random variable x is : | 0.422361586958546 |
| The random variable x is : | 0.532453303471875 |
| The random variable x is : | 0.500386819837367 |
| The random variable x is : | 0.630578640124365 |
| The random variable x is : | 0.50822680551756 |
| The random variable x is : | 0.379342410764729 |
| The random variable x is : | 0.877751088583347 |
| The random variable x is : | 1.22579179886136 |
| The random variable x is : | 0.779445962999393 |
| The random variable x is : | 0.343379294377107 |
| The random variable x is : | 0.360936795248323 |
| The random variable x is : | 0.932975268486364 |
| The random variable x is : | 0.331182749984293 |
| The random variable x is : | 0.492329472181253 |
| The random variable x is : | 0.256863835740256 |
| The random variable x is : | 0.341703463349752 |
| The random variable x is : | 0.347855471970398 |
| The random variable x is : | 0.222077323816048 |
| The random variable x is : | 0.234088496622917 |
| The random variable x is : | 0.2955764010967 |
| The random variable x is : | 0.403286803223935 |
| The random variable x is : | 0.565640797950458 |
| The random variable x is : | 0.976130480958432 |
| The random variable x is : | 0.974065948279831 |
| The random variable x is : | 0.864522191154395 |
| The random variable x is : | 0.263731588763417 |
| The random variable x is : | 1.00117178623456 |
| The random variable x is : | 0.468275919749228 |
| The random variable x is : | 0.539402841587126 |
| The random variable x is : | 0.400248125268864 |
| The random variable x is : | 0.670286344094381 |
| The random variable x is : | 1.2846687667933 |
| The random variable x is : | 0.952979435370822 |
| The random variable x is : | 0.255080591255797 |
| The random variable x is : | 0.406735405250174 |
| The random variable x is : | 1.02259990441248 |
| The random variable x is : | 0.752704868428949 |
| The random variable x is : | 0.585582873792219 |
| The random variable x is : | 0.513466001977854 |
| The random variable x is : | 0.555691026978175 |
| The random variable x is : | 0.658682380337584 |
| The random variable x is : | 1.03513196660114 |
| The random variable x is : | 0.718341599259676 |
| The random variable x is : | 0.740347609980667 |
| The random variable x is : | 0.634611361390926 |
| The random variable x is : | 0.389627954983151 |
| The random variable x is : | 0.718991442055124 |
| The random variable x is : | 0.790425326276423 |
| The random variable x is : | 0.737059453019304 |
| The random variable x is : | 0.782723228604848 |
| The random variable x is : | 0.544974656174484 |
| The random variable x is : | 0.581206106210565 |
| The random variable x is : | 1.33004674242486 |
| The random variable x is : | 0.809682838048056 |
| The random variable x is : | 0.748084921162032 |
| The random variable x is : | 0.571004784313859 |
| The random variable x is : | 0.345523272950088 |
| The random variable x is : | 0.957447195944488 |
| The random variable x is : | 0.263201571614216 |
| The random variable x is : | 0.324417560474386 |
| The random variable x is : | 1.57862619379586 |
| The random variable x is : | 0.970986567578462 |
| The random variable x is : | 0.723088169687422 |
| The random variable x is : | 0.783643793525101 |
| The random variable x is : | 0.517936125709892 |
| The random variable x is : | 0.428922221203444 |
| The random variable x is : | 1.24359183872521 |
| The random variable x is : | 0.791565306683894 |
| The random variable x is : | 0.343645645232316 |
| The random variable x is : | 0.551118830047229 |
| The random variable x is : | 0.603319358684023 |
| The random variable x is : | 0.545386400679564 |
| The random variable x is : | 1.20520187224143 |
| The random variable x is : | 0.51196199734159 |
| The random variable x is : | 0.927820644937297 |
| The random variable x is : | 0.638018426736194 |
| The random variable x is : | 0.361926896340678 |
| The random variable x is : | 0.499981583432857 |
| The random variable x is : | 0.559126657389635 |
| The random variable x is : | 0.328514544919489 |
| The random variable x is : | 0.720700644638217 |
| The random variable x is : | 0.526508461097903 |
| The random variable x is : | 0.450603129304635 |
| The random variable x is : | 0.963768971287951 |
| The random variable x is : | 0.361570009499576 |
| The random variable x is : | 0.530486643567179 |
| The random variable x is : | 0.445652990393565 |
| The random variable x is : | 0.439965391679523 |
| The random variable x is : | 0.488926164219616 |
| The random variable x is : | 0.662157917553582 |
| The random variable x is : | 0.593359901035573 |
| The random variable x is : | 0.774853060451388 |
| The random variable x is : | 1.87329310183826 |
| The random variable x is : | 1.16285623131327 |
| The random variable x is : | 0.982967937947518 |
| The random variable x is : | 0.949870628286334 |
| The random variable x is : | 0.591909217302137 |
| The random variable x is : | 0.375980888272561 |
| The random variable x is : | 0.495614399637634 |
| The random variable x is : | 0.639116837791979 |
| The random variable x is : | 1.03741429017003 |
| The random variable x is : | 0.79307660389151 |
| The random variable x is : | 0.74471086949975 |
| The random variable x is : | 1.27568800824453 |
| The random variable x is : | 1.1043893979668 |
| The random variable x is : | 0.686637066939666 |
| The random variable x is : | 0.495281109742676 |
| The random variable x is : | 1.30796704920833 |
| The random variable x is : | 0.473892779861746 |
| The random variable x is : | 0.829042598032338 |
| The random variable x is : | 0.935225175797414 |
| The random variable x is : | 0.485830140256685 |
| The random variable x is : | 0.419854961293001 |
| The random variable x is : | 1.11679578812432 |
| The random variable x is : | 0.319935182450075 |
| The random variable x is : | 0.318311501087738 |
| The random variable x is : | 0.583243612173587 |
| The random variable x is : | 1.41093285263588 |
| The random variable x is : | 0.74990338280576 |
| The random variable x is : | 0.458405987782699 |
| The random variable x is : | 0.555414867331188 |
| The random variable x is : | 0.737758591502578 |
| The random variable x is : | 0.653526465289224 |
| The random variable x is : | 1.50394563421168 |
| The random variable x is : | 1.03336611243677 |
| The random variable x is : | 1.07021922208368 |
| The random variable x is : | 1.0044222917532 |
| The random variable x is : | 0.415393216487083 |
| The random variable x is : | 0.616354896275188 |
| The random variable x is : | 1.04883051753557 |
| The random variable x is : | 0.996140876991896 |
| The random variable x is : | 0.913938735407218 |
| The random variable x is : | 0.632367724201971 |
| The random variable x is : | 0.557108366987086 |
| The random variable x is : | 0.672807078079815 |
| The random variable x is : | 0.525479868226718 |
| The random variable x is : | 0.927238931874742 |
| The random variable x is : | 0.863378245520365 |
| The random variable x is : | 0.490722533154402 |
| The random variable x is : | 0.711014482054827 |
| The random variable x is : | 0.791315701607492 |
| The random variable x is : | 1.18496350079689 |
| The random variable x is : | 0.687550831817644 |
| The random variable x is : | 0.429785994862202 |
| The random variable x is : | 0.30020951323158 |
| The random variable x is : | 0.506854903053825 |
| The random variable x is : | 0.826359615009971 |
| The random variable x is : | 0.233598953806871 |
| The random variable x is : | 0.513233487004339 |
| The random variable x is : | 1.00493622637019 |
| The random variable x is : | 0.551967394813169 |
| The random variable x is : | 0.793788244147816 |
| The random variable x is : | 1.03777180844821 |
| The random variable x is : | 0.569067560745887 |
| The random variable x is : | 0.51959903593658 |
| The random variable x is : | 0.21281048905381 |
| The random variable x is : | 0.2808016419574 |
| The random variable x is : | 0.401807975155502 |
| The random variable x is : | 0.785400143431545 |
| The random variable x is : | 0.761934004548948 |
| The random variable x is : | 0.735961450705434 |
| The random variable x is : | 0.682000445375968 |
| The random variable x is : | 0.542282133087567 |
| The random variable x is : | 1.04686332045484 |
| The random variable x is : | 1.17833803855911 |
| The random variable x is : | 0.394731926342022 |
| The random variable x is : | 1.1397938075251 |
| The random variable x is : | 0.736726729990101 |
| The random variable x is : | 0.346820661779305 |
| The random variable x is : | 1.04185388119819 |
| The random variable x is : | 0.654689594663926 |
| The random variable x is : | 1.02587561014119 |
| The random variable x is : | 0.553138599107697 |
| The random variable x is : | 0.682652875387755 |
| The random variable x is : | 0.332868606252839 |
| The random variable x is : | 0.987736682007024 |
| The random variable x is : | 0.548030933439044 |
| The random variable x is : | 0.245647320788526 |
| The random variable x is : | 0.700282290769289 |
| The random variable x is : | 0.982361372527288 |
| The random variable x is : | 0.58031591933058 |
| The random variable x is : | 0.510107199261415 |
| The random variable x is : | 0.452095958368663 |
| The random variable x is : | 0.933787866642062 |
| The random variable x is : | 0.805230680426061 |
| The random variable x is : | 0.554770978171746 |
| The random variable x is : | 0.578545640295012 |
| The random variable x is : | 0.765943592458243 |
| The random variable x is : | 0.322841176523044 |
| The random variable x is : | 0.471426390074445 |
| The random variable x is : | 0.576198522299423 |
| The random variable x is : | 1.01832604839228 |
| The random variable x is : | 0.761670472720682 |
| The random variable x is : | 0.389702023518107 |
| The random variable x is : | 1.14256550886771 |
| The random variable x is : | 0.649797037026425 |
| The random variable x is : | 1.362584704372 |
| The random variable x is : | 0.609090455328953 |
| The random variable x is : | 0.513871734663769 |
| The random variable x is : | 0.854373894191181 |
| The random variable x is : | 0.942499520161004 |
| The random variable x is : | 1.00111767464093 |
| The random variable x is : | 0.83105149653408 |
| The random variable x is : | 0.814746054282613 |
| The random variable x is : | 0.964057431550377 |
| The random variable x is : | 0.761826142211567 |
| The random variable x is : | 0.728870196052395 |
| The random variable x is : | 0.407697506713619 |
| The random variable x is : | 1.12262387484347 |
| The random variable x is : | 0.644088170852681 |
| The random variable x is : | 0.817103597410683 |
| The random variable x is : | 0.215448717546605 |
| The random variable x is : | 1.10677203153665 |
| The random variable x is : | 0.709883307898018 |
| The random variable x is : | 0.464424225657548 |
| The random variable x is : | 0.348920041883308 |
| The random variable x is : | 0.609641646496612 |
| The random variable x is : | 1.30740193377471 |
| The random variable x is : | 0.356221419810302 |
| The random variable x is : | 0.370386197705127 |
| The random variable x is : | 0.580288187246487 |
| The random variable x is : | 0.407441176134902 |
| The random variable x is : | 0.53114575795898 |
| The random variable x is : | 0.40375963347347 |
| The random variable x is : | 0.765418736365756 |
| The random variable x is : | 0.442142374037342 |
| The random variable x is : | 0.212696161245255 |
| The random variable x is : | 0.498669383199942 |
| The random variable x is : | 0.90398180941562 |
| The random variable x is : | 0.570122631710522 |
| The random variable x is : | 0.513993186586797 |
| The random variable x is : | 0.761331529086188 |
| The random variable x is : | 0.930471059534734 |
| The random variable x is : | 0.548200626366536 |
| The random variable x is : | 0.432288233445579 |
| The random variable x is : | 0.391343080809597 |
| The random variable x is : | 0.304899036868144 |
| The random variable x is : | 0.638666023740412 |
| The random variable x is : | 0.825993316152402 |
| The random variable x is : | 0.167393778903302 |
| The random variable x is : | 0.496576085880361 |
| The random variable x is : | 1.41036249229215 |
| The random variable x is : | 0.775875501264512 |
| The random variable x is : | 0.443752165100774 |
| The random variable x is : | 0.638359227548037 |
| The random variable x is : | 0.559379309971907 |
| The random variable x is : | 0.438302647709935 |
| The random variable x is : | 0.291158634963928 |
| The random variable x is : | 0.491507016566266 |
| The random variable x is : | 0.387650079019236 |
| The random variable x is : | 0.519525400437351 |
| The random variable x is : | 0.421636815311053 |
| The random variable x is : | 1.19139877869439 |
| The random variable x is : | 1.21504109340103 |
| The random variable x is : | 0.593535725781896 |
| The random variable x is : | 0.233886240391507 |
| The random variable x is : | 0.555704807990795 |
| The random variable x is : | 0.501140621579392 |
| The random variable x is : | 0.163119928375757 |
| The random variable x is : | 1.00915200168958 |
| The random variable x is : | 0.497238284654282 |
| The random variable x is : | 0.107171952846711 |
| The random variable x is : | 0.258276138321638 |
| The random variable x is : | 0.652097440837611 |
| The random variable x is : | 1.04165210386687 |
| The random variable x is : | 1.0964150247879 |
| The random variable x is : | 0.889662897282593 |
| The random variable x is : | 0.45975304608716 |
| The random variable x is : | 0.674249764889153 |
| The random variable x is : | 0.729996225238707 |
| The random variable x is : | 0.504021516910193 |
| The random variable x is : | 0.732460761969193 |
| The random variable x is : | 0.924246024233325 |
| The random variable x is : | 0.987142593780595 |
| The random variable x is : | 0.661075888519452 |
| The random variable x is : | 1.04829308783189 |
| The random variable x is : | 0.627242956019641 |
| The random variable x is : | 1.2469826616664 |
| The random variable x is : | 0.845880141810755 |
| The random variable x is : | 0.559285146918951 |
| The random variable x is : | 0.210479959249136 |
| The random variable x is : | 0.401238465083663 |
| The random variable x is : | 0.460025617670752 |
| The random variable x is : | 0.64133431931685 |
| The random variable x is : | 1.62373074892969 |
| The random variable x is : | 0.388235487158111 |
| The random variable x is : | 0.318639302299177 |
| The random variable x is : | 0.654605933694513 |
| The random variable x is : | 0.602386275256727 |
| The random variable x is : | 0.818652971799352 |
| The random variable x is : | 0.399072094966777 |
| The random variable x is : | 0.753876956918777 |
| The random variable x is : | 0.404980513456879 |
| The random variable x is : | 0.514469674110693 |
| The random variable x is : | 0.465319532955203 |
| The random variable x is : | 1.01606107819786 |
| The random variable x is : | 0.772617049329087 |
| The random variable x is : | 0.36118125025124 |
| The random variable x is : | 0.691623142052577 |
| The random variable x is : | 0.768245790886469 |
| The random variable x is : | 0.709455530572165 |
| The random variable x is : | 0.82061776795067 |
| The random variable x is : | 0.235031042720608 |
| The random variable x is : | 0.666169930270473 |
| The random variable x is : | 1.1067054362508 |
| The random variable x is : | 0.798448707396942 |
| The random variable x is : | 0.358054740566266 |
| The random variable x is : | 1.05613152704449 |
| The random variable x is : | 0.958272327272003 |
| The random variable x is : | 0.344996565329279 |
| The random variable x is : | 0.700214015176475 |
| The random variable x is : | 0.804782420973381 |
| The random variable x is : | 1.15036611041377 |
| The random variable x is : | 0.568643515093771 |
| The random variable x is : | 0.776650043492623 |
| The random variable x is : | 0.484533983478976 |
| The random variable x is : | 0.826414245243253 |
| The random variable x is : | 0.707465096680787 |
| The random variable x is : | 0.968723944380743 |
| The random variable x is : | 0.675617036992214 |
| The random variable x is : | 0.762262772472889 |
| The random variable x is : | 1.39823282672646 |
| The random variable x is : | 0.555047912464631 |
| The random variable x is : | 1.07164907559903 |
| The random variable x is : | 0.804041466268311 |
| The random variable x is : | 0.516452985311355 |
| The random variable x is : | 1.2733545688799 |
| The random variable x is : | 0.657980245472602 |
| The random variable x is : | 0.557803697593487 |
| The random variable x is : | 0.729481870554838 |
| The random variable x is : | 0.398827363070197 |
| The random variable x is : | 0.841725162333267 |
| The random variable x is : | 0.729547698474504 |
| The random variable x is : | 1.06968707072402 |
| The random variable x is : | 0.589123768585606 |
| The random variable x is : | 0.687237194504642 |
| The random variable x is : | 0.631488163421625 |
| The random variable x is : | 1.47741234577075 |
| The random variable x is : | 0.614890783775491 |
| The random variable x is : | 0.524306619356527 |
| The random variable x is : | 0.425350358800345 |
| The random variable x is : | 0.911639233567357 |
| The random variable x is : | 0.761428834821597 |
| The random variable x is : | 0.715050419352767 |
| The random variable x is : | 0.721515199870217 |
| The random variable x is : | 0.73327413946277 |
| The random variable x is : | 1.03057129169003 |
| The random variable x is : | 0.897379485034855 |
| The random variable x is : | 0.765202576552169 |
| The random variable x is : | 0.736560803158459 |
| The random variable x is : | 0.845157017017605 |
| The random variable x is : | 0.568895455298676 |
| The random variable x is : | 0.330709226327888 |
| The random variable x is : | 0.520649530253907 |
| The random variable x is : | 1.38770833915637 |
| The random variable x is : | 0.74619989157863 |
| The random variable x is : | 0.76196446733646 |
| The random variable x is : | 0.439389685652801 |
| The random variable x is : | 1.22847889209677 |
| The random variable x is : | 0.308734488648129 |
| The random variable x is : | 0.643637903215563 |
| The random variable x is : | 0.344288246990611 |
| The random variable x is : | 0.896118497055701 |
| The random variable x is : | 0.201443217779034 |
| The random variable x is : | 0.706140335342582 |
| The random variable x is : | 0.814947078452087 |
| The random variable x is : | 1.33637097783973 |
| The random variable x is : | 0.413205511377529 |
| The random variable x is : | 0.273759555432463 |
| The random variable x is : | 0.813002173048651 |
| The random variable x is : | 0.702513247064852 |
| The random variable x is : | 0.547629110593821 |
| The random variable x is : | 0.862141058438672 |
| The random variable x is : | 0.665872338354542 |
| The random variable x is : | 1.50016945760941 |
| The random variable x is : | 0.250200772939379 |
| The random variable x is : | 0.955585376410567 |
| The random variable x is : | 0.930036112681927 |
| The random variable x is : | 0.433305373648811 |
| The random variable x is : | 0.657229607047022 |
| The random variable x is : | 0.265031558846545 |
| The random variable x is : | 0.565375884836818 |
| The random variable x is : | 0.815670361815525 |
| The random variable x is : | 0.627581956216998 |
| The random variable x is : | 0.759702003500675 |
| The random variable x is : | 1.06550979182415 |
| The random variable x is : | 0.736364002125474 |
| The random variable x is : | 0.74617219691975 |
| The random variable x is : | 0.318056900727272 |
| The random variable x is : | 0.419994373651729 |
| The random variable x is : | 0.773361313547678 |
| The random variable x is : | 0.72538179562799 |
| The random variable x is : | 0.352499856143866 |
| The random variable x is : | 0.809539260986685 |
| The random variable x is : | 0.999287015650073 |
| The random variable x is : | 0.660620638330725 |
| The random variable x is : | 0.40926727693255 |
| The random variable x is : | 0.795546052684726 |
| The random variable x is : | 0.539398201334614 |
| The random variable x is : | 0.678351379388919 |
| The random variable x is : | 0.927161725673114 |
| The random variable x is : | 0.629021865706509 |
| The random variable x is : | 0.668036439689906 |
| The random variable x is : | 0.295295874594584 |
| The random variable x is : | 0.452700028155576 |
| The random variable x is : | 0.483058363109484 |
| The random variable x is : | 0.598826257963675 |
| The random variable x is : | 1.14764625942879 |
| The random variable x is : | 1.0629558779246 |
| The random variable x is : | 0.61039988837876 |
| The random variable x is : | 1.24722542043411 |
| The random variable x is : | 0.798682763906493 |
| The random variable x is : | 0.589098594048888 |
| The random variable x is : | 0.469376963361511 |
| The random variable x is : | 0.846694296941039 |
| The random variable x is : | 0.871434332329647 |
| The random variable x is : | 1.06168196752096 |
| The random variable x is : | 0.337104664864143 |
| The random variable x is : | 0.574069870076906 |
| The random variable x is : | 0.957407134619633 |
| The random variable x is : | 0.913362112585098 |
| The random variable x is : | 0.675646713006023 |
| The random variable x is : | 0.382179392056098 |
| The random variable x is : | 0.544266471061711 |
| The random variable x is : | 1.10349110475972 |
| The random variable x is : | 0.329072048606288 |
| The random variable x is : | 0.542793608768088 |
| The random variable x is : | 0.881785671670598 |
| The random variable x is : | 0.441317645125705 |
| The random variable x is : | 0.807393068842125 |
| The random variable x is : | 1.46203963323819 |
| The random variable x is : | 0.447742423424643 |
| The random variable x is : | 0.699865854070023 |
| The random variable x is : | 0.426439173131111 |
| The random variable x is : | 0.494890578485017 |
| The random variable x is : | 0.78731960714556 |
| The random variable x is : | 0.594553913496994 |
| The random variable x is : | 0.440768652271557 |
| The random variable x is : | 0.414619513588742 |
| The random variable x is : | 0.434723007835018 |
| The random variable x is : | 1.04006944104442 |
| The random variable x is : | 0.587690714564339 |
| The random variable x is : | 0.4979585098586 |
| The random variable x is : | 0.297333068077544 |
| The random variable x is : | 0.721231299652702 |
| The random variable x is : | 0.317054242074657 |
| The random variable x is : | 0.475102035375184 |
| The random variable x is : | 0.781547497234033 |
| The random variable x is : | 0.53107032749685 |
| The random variable x is : | 1.0376284590062 |
| The random variable x is : | 1.03496708320823 |
| The random variable x is : | 0.602102538859471 |
| The random variable x is : | 0.517335705446437 |
| The random variable x is : | 0.154434636993314 |
| The random variable x is : | 0.474564548115268 |
| The random variable x is : | 0.44698397143557 |
| The random variable x is : | 0.613150714598772 |
| The random variable x is : | 0.286619639164873 |
| The random variable x is : | 1.3659627292665 |
| The random variable x is : | 0.560937557427033 |
| The random variable x is : | 0.534788813144709 |
| The random variable x is : | 0.579652940056448 |
| The random variable x is : | 0.472288854348721 |
| The random variable x is : | 0.535626465031982 |
| The random variable x is : | 0.575002539726908 |
| The random variable x is : | 1.18991608062566 |
| The random variable x is : | 0.836447903276786 |
| The random variable x is : | 1.05019316834341 |
| The random variable x is : | 0.547869764278996 |
| The random variable x is : | 0.631283861152208 |
| The random variable x is : | 0.69060002600751 |
| The random variable x is : | 1.11434001902408 |
| The random variable x is : | 0.509362705246787 |
| The random variable x is : | 0.426669121267674 |
| The random variable x is : | 1.02989151672531 |
| The random variable x is : | 0.228119847052388 |
| The random variable x is : | 0.484814533071476 |
| The random variable x is : | 1.41159529342098 |
| The random variable x is : | 0.915787630639743 |
| The random variable x is : | 0.595428205787783 |
| The random variable x is : | 0.390461524598451 |
| The random variable x is : | 0.849788851756682 |
| The random variable x is : | 0.645426383452879 |
| The random variable x is : | 0.346360334618883 |
| The random variable x is : | 1.26363266633326 |
| The random variable x is : | 0.748218952597742 |
| The random variable x is : | 0.837579176958525 |
| The random variable x is : | 0.545834070353508 |
| The random variable x is : | 0.978314434701798 |
| The random variable x is : | 0.779682010867655 |
| The random variable x is : | 1.2190961356459 |
| The random variable x is : | 0.398306493942038 |
| The random variable x is : | 0.58142491697248 |
| The random variable x is : | 0.408288890616081 |
| The random variable x is : | 0.665540607531612 |
| The random variable x is : | 0.787941165307432 |
| The random variable x is : | 0.356194968855713 |
| The random variable x is : | 0.304601944879092 |
| The random variable x is : | 0.687217006784297 |
| The random variable x is : | 1.20946009821831 |
| The random variable x is : | 0.449279160277388 |
| The random variable x is : | 0.856704119989385 |
| The random variable x is : | 0.44237934029947 |
| The random variable x is : | 0.491681408886611 |
| The random variable x is : | 0.532031491980904 |
| The random variable x is : | 0.281424616392513 |
| The random variable x is : | 0.970660855474964 |
| The random variable x is : | 0.327854600610369 |
| The random variable x is : | 0.5136412420726 |
| The random variable x is : | 0.387204870154785 |
| The random variable x is : | 0.955212167686757 |
| The random variable x is : | 0.602969123961796 |
| The random variable x is : | 0.907163112348489 |
| The random variable x is : | 0.538685082661525 |
| The random variable x is : | 0.786544768345209 |
| The random variable x is : | 0.62420866275733 |
| The random variable x is : | 0.935487876789452 |
| The random variable x is : | 0.992571211540944 |
| The random variable x is : | 0.475986442956749 |
| The random variable x is : | 0.815410971417081 |
| The random variable x is : | 0.668789226190152 |
| The random variable x is : | 0.535891081586937 |
| The random variable x is : | 0.923733532326962 |
| The random variable x is : | 0.905717155944696 |
| The random variable x is : | 0.458784065889291 |
| The random variable x is : | 0.72127775755944 |
| The random variable x is : | 0.749964782103901 |
| The random variable x is : | 0.853667077054547 |
| The random variable x is : | 0.864190999340503 |
| The random variable x is : | 0.510972043263278 |
| The random variable x is : | 0.97022839893172 |
| The random variable x is : | 0.231109336728324 |
| The random variable x is : | 0.705289654161351 |
| The random variable x is : | 0.481556277422314 |
| The random variable x is : | 0.602689110583888 |
| The random variable x is : | 0.402608208015747 |
| The random variable x is : | 1.0111484970817 |
| The random variable x is : | 0.424152375261946 |
| The random variable x is : | 0.747237287998924 |
| The random variable x is : | 0.172715557625127 |
| The random variable x is : | 0.454526583854107 |
| The random variable x is : | 0.304690562414776 |
| The random variable x is : | 0.46367880038644 |
| The random variable x is : | 0.446833511350946 |
| The random variable x is : | 0.759669409134423 |
| The random variable x is : | 0.771851372536566 |
| The random variable x is : | 0.340835733391004 |
| The random variable x is : | 0.755001574963917 |
| The random variable x is : | 0.0890849752360486 |
| The random variable x is : | 0.822369833591263 |
| The random variable x is : | 0.187418627272118 |
| The random variable x is : | 0.918762623914824 |
| The random variable x is : | 0.41845685933506 |
| The random variable x is : | 0.210203347261414 |
| The random variable x is : | 0.946004145887025 |
| The random variable x is : | 0.902196680084615 |
| The random variable x is : | 0.746200121709221 |
| The random variable x is : | 0.675029484009183 |
| The random variable x is : | 0.29765292043594 |
| The random variable x is : | 0.751733710737712 |
| The random variable x is : | 0.337543288480232 |
| The random variable x is : | 0.967451007194751 |
| The random variable x is : | 1.74558399452248 |
| The random variable x is : | 0.600287704386501 |
| The random variable x is : | 0.429968016352228 |
| The random variable x is : | 0.794603192577843 |
| The random variable x is : | 0.807737765004028 |
| The random variable x is : | 0.582427186576091 |
| The random variable x is : | 1.05396108394332 |
| The random variable x is : | 0.441830860284295 |
| The random variable x is : | 0.199445102669869 |
| The random variable x is : | 0.310105195274619 |
| The random variable x is : | 0.422229234424458 |
| The random variable x is : | 1.03912802800984 |
| The random variable x is : | 1.01158080325082 |
| The random variable x is : | 1.39887701146042 |
| The random variable x is : | 0.472818692517826 |
| The random variable x is : | 0.78224266705243 |
| The random variable x is : | 0.817610347840397 |
| The random variable x is : | 0.629422540120343 |
| The random variable x is : | 0.482930967131726 |
| The random variable x is : | 0.84299773939156 |
| The random variable x is : | 0.742776727675279 |
| The random variable x is : | 0.64335253338354 |
| The random variable x is : | 0.508095044718945 |
| The random variable x is : | 1.01607446011516 |
| The random variable x is : | 0.745809417953962 |
| The random variable x is : | 0.730615877795439 |
| The random variable x is : | 0.517212473844612 |
| The random variable x is : | 1.31018924059977 |
| The random variable x is : | 0.860053579825183 |
| The random variable x is : | 0.897199764027303 |
| The random variable x is : | 1.07199804920203 |
| The random variable x is : | 0.693390155669746 |
| The random variable x is : | 0.320307097246082 |
| The random variable x is : | 0.459311979331114 |
| The random variable x is : | 1.1486047776661 |
| The random variable x is : | 1.01264713999232 |
| The random variable x is : | 0.505775285416553 |
| The random variable x is : | 0.350072581950906 |
| The random variable x is : | 0.283472654732595 |
| The random variable x is : | 0.349313543176254 |
| The random variable x is : | 1.03366585464825 |
| The random variable x is : | 0.684882539093366 |
| The random variable x is : | 1.05835679242027 |
| The random variable x is : | 0.524870376917163 |
| The random variable x is : | 0.922946909481292 |
| The random variable x is : | 0.605384157305128 |
| The random variable x is : | 0.889868577557814 |
| The random variable x is : | 0.40056436245193 |
| The random variable x is : | 0.821606474328488 |
| The random variable x is : | 1.09746255408673 |
| The random variable x is : | 0.489174743784926 |
| The random variable x is : | 0.614566008360348 |
| The random variable x is : | 0.353868454072809 |
| The random variable x is : | 0.673945346468071 |
| The random variable x is : | 0.81293690515387 |
| The random variable x is : | 0.296037363473709 |
| The random variable x is : | 0.42032065446163 |
| The random variable x is : | 0.541767119017989 |
| The random variable x is : | 0.56540949363763 |
| The random variable x is : | 1.0622789787324 |
| The random variable x is : | 0.474225094531815 |
| The random variable x is : | 0.90554748602174 |
| The random variable x is : | 0.328762143034655 |
| The random variable x is : | 1.2951879433518 |
| The random variable x is : | 1.39123932717034 |
| The random variable x is : | 0.647599852138584 |
| The random variable x is : | 1.38003924301561 |
| The random variable x is : | 0.706195010537818 |
| The random variable x is : | 1.26940467536991 |
| The random variable x is : | 0.41208662139116 |
| The random variable x is : | 0.487996015506674 |
| The random variable x is : | 0.532564764926702 |
| The random variable x is : | 0.812936933860006 |
| The random variable x is : | 0.886507387357367 |
| The random variable x is : | 0.442077918055125 |
| The random variable x is : | 0.302403718405612 |
| The random variable x is : | 0.640406883251346 |
| The random variable x is : | 0.761183656331724 |
| The random variable x is : | 1.29865928733428 |
| The random variable x is : | 0.606906883928907 |
| The random variable x is : | 0.918741228811902 |
| The random variable x is : | 0.830996683930797 |
| The random variable x is : | 1.93923708732362 |
| The random variable x is : | 0.523639529182201 |
| The random variable x is : | 0.5028383828181 |
| The random variable x is : | 0.84070384200625 |
| The random variable x is : | 1.31048198858959 |
| The random variable x is : | 1.11859628507996 |
| The random variable x is : | 1.38032782310484 |
| The random variable x is : | 0.376456146195787 |
| The random variable x is : | 0.418616424715072 |
| The random variable x is : | 1.25131035833171 |
| The random variable x is : | 0.716007709590043 |
| The random variable x is : | 1.15015040195721 |
| The random variable x is : | 0.780210166427993 |
| The random variable x is : | 0.90986066879245 |
| The random variable x is : | 0.901682928452365 |
| The random variable x is : | 0.371554641893888 |
| The random variable x is : | 0.907023756008368 |
| The random variable x is : | 0.450528903101838 |
| The random variable x is : | 0.928289299538621 |
| The random variable x is : | 0.485527845921141 |
| The random variable x is : | 1.05341998971522 |
| The random variable x is : | 0.596164309249068 |
| The random variable x is : | 0.595302690408706 |
| The random variable x is : | 0.714885266653064 |
| The random variable x is : | 0.639520392378288 |
| The random variable x is : | 0.596047917067945 |
| The random variable x is : | 0.518393586781623 |
| The random variable x is : | 0.892477362967024 |
| The random variable x is : | 0.772366892556519 |
| The random variable x is : | 0.983594491391341 |
| The random variable x is : | 0.36142591400478 |
| The random variable x is : | 0.99521255183459 |
| The random variable x is : | 0.521224339440903 |
| The random variable x is : | 0.838105209446944 |
| The random variable x is : | 0.703949266018522 |
| The random variable x is : | 0.290495082359926 |
| The random variable x is : | 0.927885134724796 |
| The random variable x is : | 0.530688333861195 |
| The random variable x is : | 0.700547363873023 |
| The random variable x is : | 0.554713630986535 |
| The random variable x is : | 0.499179308104084 |
| The random variable x is : | 0.718271909846267 |
| The random variable x is : | 0.749790385232339 |
| The random variable x is : | 1.37778349987681 |
| The random variable x is : | 0.263744041162691 |
| The random variable x is : | 0.560287130116812 |
| The random variable x is : | 0.301855354314446 |
| The random variable x is : | 0.45499681779055 |
| The random variable x is : | 1.04814518049474 |
| The random variable x is : | 0.826578168992496 |
| The random variable x is : | 0.747298081762887 |
| The random variable x is : | 0.592223960888965 |
| The random variable x is : | 0.845980227771377 |
| The random variable x is : | 0.347753859159762 |
| The random variable x is : | 0.602359209057244 |
| The random variable x is : | 0.551226151585178 |
| The random variable x is : | 0.757541715928981 |
| The random variable x is : | 0.551446232760102 |
| The random variable x is : | 0.381697378925556 |
| The random variable x is : | 1.13064536900835 |
| The random variable x is : | 0.900748409114577 |
| The random variable x is : | 0.89303327560408 |
| The random variable x is : | 0.774460944880568 |
| The random variable x is : | 0.817040452865915 |
| The random variable x is : | 0.618453767974643 |
| The random variable x is : | 0.388455866459698 |
| The random variable x is : | 0.869099767352513 |
| The random variable x is : | 0.585598013201658 |
| The random variable x is : | 0.198867720569022 |
| The random variable x is : | 1.13316961835748 |
| The random variable x is : | 0.76376892014515 |
| The random variable x is : | 1.02373626683733 |
| The random variable x is : | 1.53170718021563 |
| The random variable x is : | 1.41566380316087 |
| The random variable x is : | 0.450977641689597 |
| The random variable x is : | 0.224988317393903 |
| The random variable x is : | 0.30170778609599 |
| The random variable x is : | 0.473273148005807 |
| The random variable x is : | 1.21919487769707 |
| The random variable x is : | 0.292556757316948 |
| The random variable x is : | 0.529039848122697 |
| The random variable x is : | 0.608847129265958 |
| The random variable x is : | 0.43092987872993 |
| The random variable x is : | 1.06259462402448 |
| The random variable x is : | 1.14514663073786 |
| The random variable x is : | 0.52325564298527 |
| The random variable x is : | 0.572150842709844 |
| The random variable x is : | 0.379182466427247 |
| The random variable x is : | 0.4671207651749 |
| The random variable x is : | 0.36418148704988 |
| The random variable x is : | 0.574264863806613 |
| The random variable x is : | 0.322038208129773 |
| The random variable x is : | 0.484494921222652 |
| The random variable x is : | 0.387076087012025 |
| The random variable x is : | 1.00627989653831 |
| The random variable x is : | 0.42385920200103 |
| The random variable x is : | 0.753043485321101 |
| The random variable x is : | 0.509606620206766 |
| The random variable x is : | 0.308242207566636 |
| The random variable x is : | 0.307825987249159 |
| The random variable x is : | 0.42777923804945 |
| The random variable x is : | 1.28311131700262 |
| The random variable x is : | 0.82772900194088 |
| The random variable x is : | 0.296542269205067 |
| The random variable x is : | 0.866368407409565 |
| The random variable x is : | 0.744282236304399 |
| The random variable x is : | 0.293246125032224 |
| The random variable x is : | 0.505661588714034 |
| The random variable x is : | 0.446792811684575 |
| The random variable x is : | 0.812580730462772 |
| The random variable x is : | 0.758002942225931 |
| The random variable x is : | 0.642439527603273 |
| The random variable x is : | 0.690862299846563 |
| The random variable x is : | 0.182978951677865 |
| The random variable x is : | 1.10141816928624 |
| The random variable x is : | 0.432875893093108 |
| The random variable x is : | 0.623550104902172 |
| The random variable x is : | 1.05252729633495 |
| The random variable x is : | 0.952204312552589 |
| The random variable x is : | 0.338740360974527 |
| The random variable x is : | 0.674381648943712 |
| The random variable x is : | 0.350586574230133 |
| The random variable x is : | 0.888575032729759 |
| The random variable x is : | 0.571134287574142 |
| The random variable x is : | 0.589097865333926 |
| The random variable x is : | 0.419575811656613 |
| The random variable x is : | 0.639380494058752 |
| The random variable x is : | 0.597402083128985 |
| The random variable x is : | 0.59345727574677 |
| The random variable x is : | 0.638584859750157 |
| The random variable x is : | 1.14317961206675 |
| The random variable x is : | 0.444544512262067 |
| The random variable x is : | 0.650449437420398 |
| The random variable x is : | 1.04148895016582 |
| The random variable x is : | 0.522015215985356 |
| The random variable x is : | 0.627688030044571 |
| The random variable x is : | 1.06118774479032 |
| The random variable x is : | 1.02555170196314 |
| The random variable x is : | 0.818053382858524 |
| The random variable x is : | 0.569674998875455 |
| The random variable x is : | 0.802391238067921 |
| The random variable x is : | 1.41717694385157 |
| The random variable x is : | 0.233104585536757 |
| The random variable x is : | 0.181475785747341 |
| The random variable x is : | 0.449911505001402 |
| The random variable x is : | 0.569846708169531 |
| The random variable x is : | 0.623261875478232 |
| The random variable x is : | 0.523631939524116 |
| The random variable x is : | 0.512460921812141 |
| The random variable x is : | 1.04522671880821 |
| The random variable x is : | 0.52995932055869 |
| The random variable x is : | 0.466079040108502 |
| The random variable x is : | 0.344658182920607 |
| The random variable x is : | 0.372370243720173 |
| The random variable x is : | 0.455566307548392 |
| The random variable x is : | 0.662173420969146 |
| The random variable x is : | 1.10088617095145 |
| The random variable x is : | 0.335098800911646 |
| The random variable x is : | 0.552238714847536 |
| The random variable x is : | 0.506626616509529 |
| The random variable x is : | 0.692918263398615 |
| The random variable x is : | 0.749831834483173 |
| The random variable x is : | 0.383945079506899 |
| The random variable x is : | 0.679749799116192 |
| The random variable x is : | 0.358332663787894 |
| The random variable x is : | 1.35773789511811 |
| The random variable x is : | 0.786524010315287 |
| The random variable x is : | 0.841661292304004 |
| The random variable x is : | 0.664913446675147 |
| The random variable x is : | 0.55650064116508 |
| The random variable x is : | 0.373113238604998 |
| The random variable x is : | 0.417869716572631 |
| The random variable x is : | 0.458328661163722 |
| The random variable x is : | 0.449423107559365 |
| The random variable x is : | 0.360099847778037 |
| The random variable x is : | 0.829922590091175 |
| The random variable x is : | 0.67011213578064 |
| The random variable x is : | 0.737275774851527 |
| The random variable x is : | 0.842311001824882 |
| The random variable x is : | 1.30227416654315 |
| The random variable x is : | 0.551047940741784 |
| The random variable x is : | 0.332642640645831 |
| The random variable x is : | 0.644066280455981 |
| The random variable x is : | 1.4477261849433 |
| The random variable x is : | 0.286987642595248 |
| The random variable x is : | 0.845712352767395 |
| The random variable x is : | 0.623878231505928 |
| The random variable x is : | 0.478482238895496 |
| The random variable x is : | 0.301664136908275 |
| The random variable x is : | 0.99117022094492 |
| The random variable x is : | 0.354631392221462 |
| The random variable x is : | 0.411803263257449 |
| The random variable x is : | 0.926218101777724 |
| The random variable x is : | 0.952525438004199 |
| The random variable x is : | 1.10848894792607 |
| The random variable x is : | 0.187301600645002 |
| The random variable x is : | 1.77179502552783 |
| The random variable x is : | 0.549035649544879 |
| The random variable x is : | 1.18907742099408 |
| The random variable x is : | 0.636532434041049 |
| The random variable x is : | 0.233781390573327 |
| The random variable x is : | 0.356628837119236 |
| The random variable x is : | 1.06791378662554 |
| The random variable x is : | 1.24182935959417 |
| The random variable x is : | 0.463923715443717 |
| The random variable x is : | 0.942853461940273 |
| The random variable x is : | 0.874896975445909 |
| The random variable x is : | 0.614077230876926 |
| The random variable x is : | 1.6496447322925 |
| The random variable x is : | 1.27774208788167 |
| The random variable x is : | 1.21663691459995 |
| The random variable x is : | 0.951834123445747 |
| The random variable x is : | 1.1663639155744 |
| The random variable x is : | 0.804078519607389 |
| The random variable x is : | 0.826680656079268 |
| The random variable x is : | 0.543769671923083 |
| The random variable x is : | 1.23242660849798 |
| The random variable x is : | 0.177236159933602 |
| The random variable x is : | 0.282066203572159 |
| The random variable x is : | 0.457815316513019 |
| The random variable x is : | 0.885693273988263 |
| The random variable x is : | 1.47576148575377 |
| The random variable x is : | 0.606010781448444 |
| The random variable x is : | 1.14465969871265 |
| The random variable x is : | 1.3311373916638 |
| The random variable x is : | 0.605715009410945 |
| The random variable x is : | 0.912838933563233 |
| The random variable x is : | 0.716399760821329 |
| The random variable x is : | 0.868091477092895 |
| The random variable x is : | 0.880310866684769 |
| The random variable x is : | 0.674747120221523 |
| The random variable x is : | 0.703363014579023 |
| The random variable x is : | 1.12423933647551 |
| The random variable x is : | 0.991293711392793 |
| The random variable x is : | 0.746660372938657 |
| The random variable x is : | 0.573271210281118 |
| The random variable x is : | 0.441408056372023 |
| The random variable x is : | 0.651946961107122 |
| The random variable x is : | 0.538793596492763 |
| The random variable x is : | 0.728016735887888 |
| The random variable x is : | 1.12368977830857 |
| The random variable x is : | 0.943439581464514 |
| The random variable x is : | 0.916971217154548 |
| The random variable x is : | 1.28353524596694 |
| The random variable x is : | 0.776937750153031 |
| The random variable x is : | 1.06708168928255 |
| The random variable x is : | 0.930814804361127 |
| The random variable x is : | 0.677716989093929 |
| The random variable x is : | 0.613355076118404 |
| The random variable x is : | 0.613705161585319 |
| The random variable x is : | 1.74394489918775 |
| The random variable x is : | 0.617741610751584 |
| The random variable x is : | 0.50792531860482 |
| The random variable x is : | 0.752396802125708 |
| The random variable x is : | 0.907059973475366 |
| The random variable x is : | 0.843392966053368 |
| The random variable x is : | 0.732943768051973 |
| The random variable x is : | 0.360647756697712 |
| The random variable x is : | 0.424332536952446 |
| The random variable x is : | 0.686810529470403 |
| The random variable x is : | 0.661588789824794 |
| The random variable x is : | 0.334066020071247 |
| The random variable x is : | 0.578397880580933 |
| The random variable x is : | 0.433166716890089 |
| The random variable x is : | 0.77653181875895 |
| The random variable x is : | 0.996811906147475 |
| The random variable x is : | 0.462824819212301 |
| The random variable x is : | 0.452332608067138 |
| The random variable x is : | 0.75586961900597 |
| The random variable x is : | 0.328003881720107 |
| The random variable x is : | 0.649005220415127 |
| The random variable x is : | 0.659301939796454 |
| The random variable x is : | 1.38021784634169 |
| The random variable x is : | 0.369310089824514 |
| The random variable x is : | 0.597714814023765 |
| The random variable x is : | 1.4006959228764 |
| The random variable x is : | 2.06609329828124 |
| The random variable x is : | 0.358883848071761 |
| The random variable x is : | 0.74400356900234 |
| The random variable x is : | 0.74613963168648 |
| The random variable x is : | 0.513572401601382 |
| The random variable x is : | 0.226044441709243 |
| The random variable x is : | 0.80870670646654 |
| The random variable x is : | 0.539609793467001 |
| The random variable x is : | 0.631744218454235 |
| The random variable x is : | 1.03274423288989 |
| The random variable x is : | 0.597337159738912 |
| The random variable x is : | 0.566347883329907 |
| The random variable x is : | 0.529931570046651 |
| The random variable x is : | 0.410495522534126 |
| The random variable x is : | 0.649194460698516 |
| The random variable x is : | 0.572255978670466 |
| The random variable x is : | 0.639442039502218 |
| The random variable x is : | 0.900265461477969 |
| The random variable x is : | 0.627020487332163 |
| The random variable x is : | 0.980094039389939 |
| The random variable x is : | 0.642896189107337 |
| The random variable x is : | 0.841551944825192 |
| The random variable x is : | 0.556522272041089 |
| The random variable x is : | 1.08002863337083 |
| The random variable x is : | 0.83001265682633 |
| The random variable x is : | 1.50414068850317 |
| The random variable x is : | 0.509193568687343 |
| The random variable x is : | 0.686947215988075 |
| The random variable x is : | 0.997450394226075 |
| The random variable x is : | 1.22928098618515 |
| The random variable x is : | 0.738145896025236 |
| The random variable x is : | 0.459956260712394 |
| The random variable x is : | 0.889152949687693 |
| The random variable x is : | 0.865501072961622 |
| The random variable x is : | 0.958590270258497 |
| The random variable x is : | 0.184235523707994 |
| The random variable x is : | 1.24803877395844 |
| The random variable x is : | 0.581237883249108 |
| The random variable x is : | 1.01676836919768 |
| The random variable x is : | 0.764608606798207 |
| The random variable x is : | 0.85840576829041 |
| The random variable x is : | 0.801129586101325 |
| The random variable x is : | 0.245744836966827 |
| The random variable x is : | 0.552573298939085 |
| The random variable x is : | 0.80668886920732 |
| The random variable x is : | 0.411514844400289 |
| The random variable x is : | 0.355724984880426 |
| The random variable x is : | 0.599307165040044 |
| The random variable x is : | 0.837146199189184 |
| The random variable x is : | 0.745876854192647 |
| The random variable x is : | 0.900529739452548 |
| The random variable x is : | 0.660195837569355 |
| The random variable x is : | 1.41353840752489 |
| The random variable x is : | 0.554878851471917 |
| The random variable x is : | 0.461557030091339 |
| The random variable x is : | 0.777328387307538 |
| The random variable x is : | 0.849427971231441 |
| The random variable x is : | 0.841991007280563 |
| The random variable x is : | 0.557794430501027 |
| The random variable x is : | 0.771317192745249 |
| The random variable x is : | 0.177043061123294 |
| The random variable x is : | 0.668119705736656 |
| The random variable x is : | 0.645175616054664 |
| The random variable x is : | 0.124360902749342 |
| The random variable x is : | 0.880034069351679 |
| The random variable x is : | 0.443677216175181 |
| The random variable x is : | 0.61151029183949 |
| The random variable x is : | 0.628305123064462 |
| The random variable x is : | 0.478870039548198 |
| The random variable x is : | 1.0256415447091 |
| The random variable x is : | 0.691249020782589 |
| The random variable x is : | 0.946211382879741 |
| The random variable x is : | 1.1215599201887 |
| The random variable x is : | 0.512717778464392 |
| The random variable x is : | 0.739138542725891 |
| The random variable x is : | 1.0701486719895 |
| The random variable x is : | 0.868082207604335 |
| The random variable x is : | 0.851330796664073 |
| The random variable x is : | 0.681780421275364 |
| The random variable x is : | 0.587645546097172 |
| The random variable x is : | 1.3318171846303 |
| The random variable x is : | 1.18822518617928 |
| The random variable x is : | 0.542425390524778 |
| The random variable x is : | 1.05415148889355 |
| The random variable x is : | 0.71023509220034 |
| The random variable x is : | 1.13874857850996 |
| The random variable x is : | 0.3868968778828 |
| The random variable x is : | 0.360203087287499 |
| The random variable x is : | 0.308348677307245 |
| The random variable x is : | 1.55989145981158 |
| The random variable x is : | 0.836342829361991 |
| The random variable x is : | 0.672420878429885 |
| The random variable x is : | 0.884914794898731 |
| The random variable x is : | 0.439574539641054 |
| The random variable x is : | 0.522133777067061 |
| The random variable x is : | 0.624638421346655 |
| The random variable x is : | 0.997393507787099 |
| The random variable x is : | 0.161277002424216 |
| The random variable x is : | 0.74874948737502 |
| The random variable x is : | 0.581662115124648 |
| The random variable x is : | 0.54015528762353 |
| The random variable x is : | 0.963545765232875 |
| The random variable x is : | 1.01686956764021 |
| The random variable x is : | 1.04184001719814 |
| The random variable x is : | 0.889484842225292 |
| The random variable x is : | 0.136032641081935 |
| The random variable x is : | 0.72808038636444 |
| The random variable x is : | 0.613260838491252 |
| The random variable x is : | 0.480302071316046 |
| The random variable x is : | 1.26846788594833 |
| The random variable x is : | 0.28484789178599 |
| The random variable x is : | 0.719657511877858 |
| The random variable x is : | 0.611202417235075 |
| The random variable x is : | 0.583073867954527 |
| The random variable x is : | 1.18945317491698 |
| The random variable x is : | 1.08125969772039 |
| The random variable x is : | 0.627425073944951 |
| The random variable x is : | 1.33994876228573 |
| The random variable x is : | 0.623764398669567 |
| The random variable x is : | 1.09808023966182 |
| The random variable x is : | 0.348623451374838 |
| The random variable x is : | 0.578469701612282 |
| The random variable x is : | 0.6272182784946 |
| The random variable x is : | 0.756071161100269 |
| The random variable x is : | 0.166329994865989 |
| The random variable x is : | 0.473009526111072 |
| The random variable x is : | 0.745464779002058 |
| The random variable x is : | 0.649079830873261 |
| The random variable x is : | 1.17029543501065 |
| The random variable x is : | 0.278702053590048 |
| The random variable x is : | 0.472505665088698 |
| The random variable x is : | 0.688832426308316 |
| The random variable x is : | 0.346160646069782 |
| The random variable x is : | 0.39451369919686 |
| The random variable x is : | 1.00880683165291 |
| The random variable x is : | 0.877271355735016 |
| The random variable x is : | 0.219662056340153 |
| The random variable x is : | 0.501976531133892 |
| The random variable x is : | 0.39936227552869 |
| The random variable x is : | 0.942970142456263 |
| The random variable x is : | 0.439110967572665 |
| The random variable x is : | 0.707356757984701 |
| The random variable x is : | 0.600359259272944 |
| The random variable x is : | 0.351308172774173 |
| The random variable x is : | 1.26705052704242 |
| The random variable x is : | 0.57820929370772 |
| The random variable x is : | 1.17699547376451 |
| The random variable x is : | 0.526332073856059 |
| The random variable x is : | 0.992071456530745 |
| The random variable x is : | 1.39932683293629 |
| The random variable x is : | 0.792782125473885 |
| The random variable x is : | 0.21503183032438 |
| The random variable x is : | 0.640760413581112 |
| The random variable x is : | 0.478756104320507 |
| The random variable x is : | 0.730369922251458 |
| The random variable x is : | 1.22055336046076 |
| The random variable x is : | 1.08532916777218 |
| The random variable x is : | 1.04032033269567 |
| The random variable x is : | 0.46412353328257 |
| The random variable x is : | 1.17771439305628 |
| The random variable x is : | 0.808084728398002 |
| The random variable x is : | 0.560949139949976 |
| The random variable x is : | 0.96917197647119 |
| The random variable x is : | 0.929105294703235 |
| The random variable x is : | 0.797653399293807 |
| The random variable x is : | 0.683207764598752 |
| The random variable x is : | 0.73563765688536 |
| The random variable x is : | 0.289263319500325 |
| The random variable x is : | 0.54098625399718 |
| The random variable x is : | 0.813286560163002 |
| The random variable x is : | 0.534028915864607 |
| The random variable x is : | 0.902377785611502 |
| The random variable x is : | 0.873154854152125 |
| The random variable x is : | 0.679843238754158 |
| The random variable x is : | 0.631671321998757 |
| The random variable x is : | 0.308795826705596 |
| The random variable x is : | 0.495134449100551 |
| The random variable x is : | 0.328052455797985 |
| The random variable x is : | 0.439226389921516 |
| The random variable x is : | 0.847288726255069 |
| The random variable x is : | 0.789183984162273 |
| The random variable x is : | 0.510833635692202 |
| The random variable x is : | 0.548413269688107 |
| The random variable x is : | 0.49153516150716 |
| The random variable x is : | 0.826075104909533 |
| The random variable x is : | 0.617120903703064 |
| The random variable x is : | 0.662739476082384 |
| The random variable x is : | 0.559510032956578 |
| The random variable x is : | 0.690608330721009 |
| The random variable x is : | 0.252336441869047 |
| The random variable x is : | 0.851657881996562 |
| The random variable x is : | 0.663762816729303 |
| The random variable x is : | 0.709317452849347 |
| The random variable x is : | 1.10924078140959 |
| The random variable x is : | 0.50686103951727 |
| The random variable x is : | 0.178088048233317 |
| The random variable x is : | 0.753676891819761 |
| The random variable x is : | 0.553595335022347 |
| The random variable x is : | 0.54102715510334 |
| The random variable x is : | 0.981822283194252 |
| The random variable x is : | 0.949681267460136 |
| The random variable x is : | 0.452188899803111 |
| The random variable x is : | 0.377464670657514 |
| The random variable x is : | 0.360574186818788 |
| The random variable x is : | 1.21261042590255 |
| The random variable x is : | 1.4260046171044 |
| The random variable x is : | 0.893474755004389 |
| The random variable x is : | 0.218287822548176 |
| The random variable x is : | 0.359045483532543 |
| The random variable x is : | 0.527156571340902 |
| The random variable x is : | 0.507403264285909 |
| The random variable x is : | 0.610791711591118 |
| The random variable x is : | 0.968431677410308 |
| The random variable x is : | 0.484293398004092 |
| The random variable x is : | 0.502536024331542 |
| The random variable x is : | 0.872455627884713 |
| The random variable x is : | 0.306103188407453 |
| The random variable x is : | 0.723181379982446 |
| The random variable x is : | 0.67839547314521 |
| The random variable x is : | 0.546583908464422 |
| The random variable x is : | 0.642537360357707 |
| The random variable x is : | 0.297405100285797 |
| The random variable x is : | 0.782644377528208 |
| The random variable x is : | 0.40178503366131 |
| The random variable x is : | 0.61919699903564 |
| The random variable x is : | 0.860447995789586 |
| The random variable x is : | 1.69464583881972 |
| The random variable x is : | 0.682633226140888 |
| The random variable x is : | 0.776918423627353 |
| The random variable x is : | 1.27087928806035 |
| The random variable x is : | 0.664731429550861 |
| The random variable x is : | 0.652062025467286 |
| The random variable x is : | 0.996335075700144 |
| The random variable x is : | 0.340556346306188 |
| The random variable x is : | 0.693820414520327 |
| The random variable x is : | 0.843837242400088 |
| The random variable x is : | 1.09521225683627 |
| The random variable x is : | 0.718098348746394 |
| The random variable x is : | 0.820222208635386 |
| The random variable x is : | 0.73906671503148 |
| The random variable x is : | 0.478958876402053 |
| The random variable x is : | 0.451415053468403 |
| The random variable x is : | 0.730186473675314 |
| The random variable x is : | 0.823006868733132 |
| The random variable x is : | 0.866140064064165 |
| The random variable x is : | 1.04869852278694 |
| The random variable x is : | 0.528664968928664 |
| The random variable x is : | 0.68589971276948 |
| The random variable x is : | 0.179083816475344 |
| The random variable x is : | 0.850198847290267 |
| The random variable x is : | 1.20686524127578 |
| The random variable x is : | 0.904508032396869 |
| The random variable x is : | 0.567646143166399 |
| The random variable x is : | 0.7418027067167 |
| The random variable x is : | 0.812292637602308 |
| The random variable x is : | 0.565011902244461 |
| The random variable x is : | 0.992631913641687 |
| The random variable x is : | 0.329172136783854 |
| The random variable x is : | 0.72407026101491 |
| The random variable x is : | 1.09930797012085 |
| The random variable x is : | 0.547397369433382 |
| The random variable x is : | 0.594052928016627 |
| The random variable x is : | 0.917245987383911 |
| The random variable x is : | 0.831324794990866 |
| The random variable x is : | 0.165802041219477 |
| The random variable x is : | 0.268881216526433 |
| The random variable x is : | 0.751635325758707 |
| The random variable x is : | 0.702113428319577 |
| The random variable x is : | 0.263336289587566 |
| The random variable x is : | 0.305684592512036 |
| The random variable x is : | 0.373167980889412 |
| The random variable x is : | 0.704009467607528 |
| The random variable x is : | 0.535815229643902 |
| The random variable x is : | 0.815084621030753 |
| The random variable x is : | 1.059170702922 |
| The random variable x is : | 0.87739811502109 |
| The random variable x is : | 0.954784442089339 |
| The random variable x is : | 0.831520827940883 |
| The random variable x is : | 0.786019237817101 |
| The random variable x is : | 1.25413157790664 |
| The random variable x is : | 0.611742408860785 |
| The random variable x is : | 0.734700159066296 |
| The random variable x is : | 0.443239540207303 |
| The random variable x is : | 0.459550412341484 |
| The random variable x is : | 0.454983568544963 |
| The random variable x is : | 0.510213812117691 |
| The random variable x is : | 0.542462620521407 |
| The random variable x is : | 0.626108751482162 |
| The random variable x is : | 0.499967934108602 |
| The random variable x is : | 0.876033110957862 |
| The random variable x is : | 1.43634646180614 |
| The random variable x is : | 0.365263592087406 |
| The random variable x is : | 0.465223991541896 |
| The random variable x is : | 0.742093334512247 |
| The random variable x is : | 1.03767623954201 |
| The random variable x is : | 0.531871955821323 |
| The random variable x is : | 1.00027878382302 |
| The random variable x is : | 0.959498517216371 |
| The random variable x is : | 0.634363584063374 |
| The random variable x is : | 0.953240425930158 |
| The random variable x is : | 1.08629243582542 |
| The random variable x is : | 0.721037512190381 |
| The random variable x is : | 0.26115810956283 |
| The random variable x is : | 1.13691575989883 |
| The random variable x is : | 0.451472458358032 |
| The random variable x is : | 0.712099966611388 |
| The random variable x is : | 0.420499383954191 |
| The random variable x is : | 0.482744988580642 |
| The random variable x is : | 0.371827002324902 |
| The random variable x is : | 0.413804698647426 |
| The random variable x is : | 0.502721378113385 |
| The random variable x is : | 1.07182365466143 |
| The random variable x is : | 0.588154997615145 |
| The random variable x is : | 0.307024513309815 |
| The random variable x is : | 0.5768590436635 |
| The random variable x is : | 1.08014001899416 |
| The random variable x is : | 1.6520285281634 |
| The random variable x is : | 0.618618616123856 |
| The random variable x is : | 0.475652850030795 |
| The random variable x is : | 0.75679671567888 |
| The random variable x is : | 0.922992615023529 |
| The random variable x is : | 0.331575820210197 |
| The random variable x is : | 0.517248312550303 |
| The random variable x is : | 0.493588954433527 |
| The random variable x is : | 0.44909095729298 |
| The random variable x is : | 0.615800302458061 |
| The random variable x is : | 0.949361947417629 |
| The random variable x is : | 1.51897688782214 |
| The random variable x is : | 0.473080648815239 |
| The random variable x is : | 0.487252081587871 |
| The random variable x is : | 1.0175456484288 |
| The random variable x is : | 0.958390667784933 |
| The random variable x is : | 0.328336633267724 |
| The random variable x is : | 0.98747935051153 |
| The random variable x is : | 1.00028437302745 |
| The random variable x is : | 0.898642761102874 |
| The random variable x is : | 0.786601939974699 |
| The random variable x is : | 0.602616971148325 |
| The random variable x is : | 0.389024571165512 |
| The random variable x is : | 0.326597113221677 |
| The random variable x is : | 0.627035769964113 |
| The random variable x is : | 0.279388064139241 |
| The random variable x is : | 0.368651475262916 |
| The random variable x is : | 1.12941798053377 |
| The random variable x is : | 1.15647451637181 |
| The random variable x is : | 0.565945922944977 |
| The random variable x is : | 0.983936307191363 |
| The random variable x is : | 0.96411646369734 |
| The random variable x is : | 0.611438571479586 |
| The random variable x is : | 0.743423865885988 |
| The random variable x is : | 0.534513226075379 |
| The random variable x is : | 0.833303061260591 |
| The random variable x is : | 0.370522117963447 |
| The random variable x is : | 1.29489864340582 |
| The random variable x is : | 0.834903637235234 |
| The random variable x is : | 0.79280424197271 |
| The random variable x is : | 1.01644922720768 |
| The random variable x is : | 0.636715606351486 |
| The random variable x is : | 0.538572337645675 |
| The random variable x is : | 1.22889939863291 |
| The random variable x is : | 0.995470746641204 |
| The random variable x is : | 0.528009789620954 |
| The random variable x is : | 0.283313097167963 |
| The random variable x is : | 0.739768503129447 |
| The random variable x is : | 0.986175555862987 |
| The random variable x is : | 0.944172837493874 |
| The random variable x is : | 0.104862187965153 |
| The random variable x is : | 1.02836369649776 |
| The random variable x is : | 0.634221933184529 |
| The random variable x is : | 0.41146660344438 |
| The random variable x is : | 0.56669865201116 |
| The random variable x is : | 0.708919294171037 |
| The random variable x is : | 0.526227409739734 |
| The random variable x is : | 0.206578920252496 |
| The random variable x is : | 0.779195908193937 |
| The random variable x is : | 0.807932824254862 |
| The random variable x is : | 0.242645819493155 |
| The random variable x is : | 0.388447608608386 |
| The random variable x is : | 0.47526928164116 |
| The random variable x is : | 1.22696839030348 |
| The random variable x is : | 1.02909499903451 |
| The random variable x is : | 0.767070517697 |
| The random variable x is : | 0.448598957949119 |
| The random variable x is : | 0.816702053684506 |
| The random variable x is : | 0.35231597833717 |
| The random variable x is : | 1.39520152235194 |
| The random variable x is : | 1.07635293364281 |
| The random variable x is : | 0.448481662065677 |
| The random variable x is : | 0.754682437545524 |
| The random variable x is : | 1.12080164283819 |
| The random variable x is : | 0.846532049682384 |
| The random variable x is : | 0.750733266662941 |
| The random variable x is : | 0.312231716358698 |
| The random variable x is : | 0.902462865206551 |
| The random variable x is : | 0.457463715727761 |
| The random variable x is : | 0.699073030639165 |
| The random variable x is : | 0.578521059630849 |
| The random variable x is : | 1.03000071626836 |
| The random variable x is : | 0.828214257755078 |
| The random variable x is : | 0.403165103980498 |
| The random variable x is : | 0.949984998377089 |
| The random variable x is : | 0.208185928873624 |
| The random variable x is : | 0.531452601813372 |
| The random variable x is : | 0.693746519650929 |
| The random variable x is : | 0.483600318246097 |
| The random variable x is : | 0.574091970070859 |
| The random variable x is : | 0.499908689833305 |
| The random variable x is : | 0.446731623164333 |
| The random variable x is : | 1.38637949907486 |
| The random variable x is : | 0.254755597870391 |
| The random variable x is : | 1.18691200154378 |
| The random variable x is : | 0.818956163850229 |
| The random variable x is : | 1.32293721338452 |
| The random variable x is : | 0.668714794469476 |
| The random variable x is : | 0.735574472345145 |
| The random variable x is : | 0.657739941350445 |
| The random variable x is : | 0.699613514593071 |
| The random variable x is : | 0.333256038738039 |
| The random variable x is : | 0.863056850448275 |
| The random variable x is : | 0.389494542999142 |
| The random variable x is : | 0.640481076828279 |
| The random variable x is : | 0.509039459159628 |
| The random variable x is : | 0.244723414777315 |
| The random variable x is : | 0.710673187752347 |
| The random variable x is : | 0.805254388208382 |
| The random variable x is : | 0.637975630463577 |
| The random variable x is : | 0.507871467704938 |
| The random variable x is : | 0.350929796641662 |
| The random variable x is : | 1.55125749323796 |
| The random variable x is : | 0.703400007470971 |
| The random variable x is : | 0.975255168768996 |
| The random variable x is : | 1.12598147443953 |
| The random variable x is : | 0.502082107242571 |
| The random variable x is : | 0.39524276947716 |
| The random variable x is : | 0.216448899501141 |
| The random variable x is : | 0.404256909873402 |
| The random variable x is : | 0.406652758143114 |
| The random variable x is : | 0.389009901092982 |
| The random variable x is : | 0.713942710121681 |
| The random variable x is : | 0.905423975536345 |
| The random variable x is : | 0.552420620758347 |
| The random variable x is : | 0.413189057783538 |
| The random variable x is : | 0.469571109086119 |
| The random variable x is : | 0.873418355533075 |
| The random variable x is : | 0.609866450353666 |
| The random variable x is : | 0.535867868265655 |
| The random variable x is : | 0.973052965422246 |
| The random variable x is : | 0.310755960543338 |
| The random variable x is : | 0.827079630185376 |
| The random variable x is : | 0.1294449024766 |
| The random variable x is : | 1.1364786131903 |
| The random variable x is : | 0.829949616678096 |
| The random variable x is : | 1.38926818819641 |
| The random variable x is : | 1.37902478183822 |
| The random variable x is : | 0.765551802481926 |
| The random variable x is : | 0.706139379332469 |
| The random variable x is : | 0.48924748932737 |
| The random variable x is : | 0.911667907636183 |
| The random variable x is : | 0.498118768944622 |
| The random variable x is : | 0.702986954315262 |
| The random variable x is : | 0.437051103462078 |
| The random variable x is : | 0.508107837767387 |
| The random variable x is : | 0.920847638662315 |
| The random variable x is : | 0.615853110420701 |
| The random variable x is : | 0.382704195378766 |
| The random variable x is : | 0.47647974968739 |
| The random variable x is : | 0.780943847537596 |
| The random variable x is : | 0.782635178655216 |
| The random variable x is : | 0.925121741889114 |
| The random variable x is : | 1.00034852002144 |
| The random variable x is : | 1.42524353214028 |
| The random variable x is : | 0.759009427966088 |
| The random variable x is : | 0.990258904826994 |
| The random variable x is : | 0.778946355252881 |
| The random variable x is : | 0.591355076362383 |
| The random variable x is : | 0.916850502064891 |
| The random variable x is : | 0.571370832826677 |
| The random variable x is : | 0.826096252820204 |
| The random variable x is : | 0.702459735961197 |
| The random variable x is : | 0.877411837898219 |
| The random variable x is : | 0.695638764567402 |
| The random variable x is : | 1.00847764108221 |
| The random variable x is : | 1.60600531000332 |
| The random variable x is : | 1.35189225244771 |
| The random variable x is : | 0.745505875621571 |
| The random variable x is : | 0.574409355318694 |
| The random variable x is : | 0.744111860844974 |
| The random variable x is : | 0.911149370423929 |
| The random variable x is : | 0.758619560140939 |
| The random variable x is : | 0.550715473720072 |
| The random variable x is : | 0.522510858486459 |
| The random variable x is : | 0.458975268502534 |
| The random variable x is : | 0.463709250047659 |
| The random variable x is : | 0.440560313347515 |
| The random variable x is : | 0.665150537002564 |
| The random variable x is : | 0.875373866647225 |
| The random variable x is : | 0.279048179387484 |
| The random variable x is : | 0.210933345874858 |
| The random variable x is : | 0.809022561307544 |
| The random variable x is : | 0.610835007260135 |
| The random variable x is : | 0.53990223252908 |
| The random variable x is : | 0.793705176778857 |
| The random variable x is : | 0.637042491524459 |
| The random variable x is : | 0.875496032930566 |
| The random variable x is : | 0.984115908243179 |
| The random variable x is : | 0.725448336648685 |
| The random variable x is : | 0.736723906842283 |
| The random variable x is : | 0.804382536898791 |
| The random variable x is : | 0.512724856425286 |
| The random variable x is : | 0.704772606022713 |
| The random variable x is : | 1.01954050909276 |
| The random variable x is : | 0.742137173741156 |
| The random variable x is : | 1.13261180818959 |
| The random variable x is : | 1.04525151626281 |
| The random variable x is : | 0.845145049453323 |
| The random variable x is : | 0.749623066555689 |
| The random variable x is : | 1.10725155567004 |
| The random variable x is : | 0.569056761227044 |
| The random variable x is : | 0.692664968545253 |
| The random variable x is : | 0.566842518379733 |
| The random variable x is : | 0.80386980637188 |
| The random variable x is : | 0.779657213110952 |
| The random variable x is : | 0.680085939710331 |
| The random variable x is : | 0.440096442739206 |
| The random variable x is : | 0.222968823528089 |
| The random variable x is : | 0.617129599905669 |
| The random variable x is : | 0.788849652272231 |
| The random variable x is : | 0.507809089891665 |
| The random variable x is : | 1.13713667183775 |
| The random variable x is : | 0.572789149728871 |
| The random variable x is : | 1.42271376787578 |
| The random variable x is : | 0.614709265851647 |
| The random variable x is : | 0.642934089123077 |
| The random variable x is : | 0.767631708953599 |
| The random variable x is : | 0.768957862130476 |
| The random variable x is : | 0.628022303323021 |
| The random variable x is : | 0.972356187569881 |
| The random variable x is : | 0.487900778370099 |
| The random variable x is : | 1.44280281964165 |
| The random variable x is : | 0.797994384489701 |
| The random variable x is : | 0.957173351822243 |
| The random variable x is : | 0.98661616161963 |
| The random variable x is : | 0.713260320565314 |
| The random variable x is : | 0.36891572015365 |
| The random variable x is : | 0.863770107649967 |
| The random variable x is : | 0.697632562717111 |
| The random variable x is : | 0.35657831051976 |
| The random variable x is : | 0.656730645441167 |
| The random variable x is : | 0.988829524025969 |
| The random variable x is : | 0.986733489175522 |
| The random variable x is : | 0.956960058292115 |
| The random variable x is : | 0.672230146313663 |
| The random variable x is : | 0.443099320355139 |
| The random variable x is : | 0.529726881855631 |
| The random variable x is : | 0.419956160199601 |
| The random variable x is : | 1.1214175047338 |
| The random variable x is : | 0.535612504317987 |
| The random variable x is : | 0.766534006674126 |
| The random variable x is : | 0.901915150984156 |
| The random variable x is : | 0.635963467135099 |
| The random variable x is : | 0.775647004064911 |
| The random variable x is : | 1.22082288292878 |
| The random variable x is : | 0.621446453670285 |
| The random variable x is : | 0.456470292025383 |
| The random variable x is : | 0.300238419957088 |
| The random variable x is : | 0.714338000675972 |
| The random variable x is : | 1.29978142953428 |
| The random variable x is : | 0.419509017826388 |
| The random variable x is : | 0.487253396542603 |
| The random variable x is : | 1.2707792095667 |
| The random variable x is : | 0.43524894955342 |
| The random variable x is : | 1.01877231624529 |
| The random variable x is : | 0.659708848099494 |
| The random variable x is : | 0.534865299304596 |
| The random variable x is : | 0.658532540799893 |
| The random variable x is : | 1.05405438749895 |
| The random variable x is : | 0.909216016171128 |
| The random variable x is : | 1.06067540505967 |
| The random variable x is : | 0.274888047812658 |
| The random variable x is : | 1.41029383118444 |
| The random variable x is : | 0.346622727131312 |
| The random variable x is : | 0.916741771622992 |
| The random variable x is : | 1.7369078319092 |
| The random variable x is : | 0.810826025564451 |
| The random variable x is : | 0.778513334945458 |
| The random variable x is : | 1.23381000146192 |
| The random variable x is : | 0.557595599545825 |
| The random variable x is : | 1.03517773538446 |
| The random variable x is : | 0.311227976817938 |
| The random variable x is : | 0.576875488312711 |
| The random variable x is : | 0.476293175812768 |
| The random variable x is : | 0.930777275546543 |
| The random variable x is : | 0.981267258589271 |
| The random variable x is : | 0.197153769208564 |
| The random variable x is : | 0.200548768152389 |
| The random variable x is : | 0.629096629842565 |
| The random variable x is : | 0.583907620444875 |
| The random variable x is : | 0.580449052656711 |
| The random variable x is : | 0.493352686912637 |
| The random variable x is : | 0.59527100235989 |
| The random variable x is : | 0.709276106030454 |
| The random variable x is : | 0.139559837816639 |
| The random variable x is : | 0.648207639680657 |
| The random variable x is : | 0.710760751822948 |
| The random variable x is : | 1.23272711913069 |
| The random variable x is : | 0.383293172215322 |
| The random variable x is : | 1.12291949096632 |
| The random variable x is : | 0.884702685341614 |
| The random variable x is : | 0.35407566825774 |
| The random variable x is : | 0.617508686469438 |
| The random variable x is : | 0.431454233553497 |
| The random variable x is : | 0.553003895787988 |
| The random variable x is : | 0.925734169823291 |
| The random variable x is : | 0.866825153185548 |
| The random variable x is : | 1.20924894960154 |
| The random variable x is : | 0.613253842196634 |
| The random variable x is : | 0.755119457459446 |
| The random variable x is : | 1.06277924630641 |
| The random variable x is : | 1.21946359654806 |
| The random variable x is : | 1.25335485913209 |
| The random variable x is : | 0.777006653116055 |
| The random variable x is : | 0.961033098615516 |
| The random variable x is : | 0.750402122782329 |
| The random variable x is : | 0.850917665593611 |
| The random variable x is : | 0.481477098581218 |
| The random variable x is : | 1.07474582162512 |
| The random variable x is : | 0.316911350295227 |
| The random variable x is : | 0.643481059162875 |
| The random variable x is : | 0.694668922267257 |
| The random variable x is : | 0.549780851898473 |
| The random variable x is : | 0.926349548979338 |
| The random variable x is : | 0.536516421481044 |
| The random variable x is : | 1.20263741534135 |
| The random variable x is : | 0.388383070029433 |
| The random variable x is : | 0.933587982468647 |
| The random variable x is : | 0.581596911427763 |
| The random variable x is : | 0.55780227456979 |
| The random variable x is : | 0.362895659113488 |
| The random variable x is : | 1.01227472707831 |
| The random variable x is : | 1.01806716312565 |
| The random variable x is : | 0.901109993809646 |
| The random variable x is : | 0.453673953586277 |
| The random variable x is : | 0.826795346086796 |
| The random variable x is : | 1.06880915810149 |
| The random variable x is : | 0.337290220762144 |
| The random variable x is : | 0.880641861418285 |
| The random variable x is : | 0.858910556341962 |
| The random variable x is : | 0.346182804955037 |
| The random variable x is : | 0.602331226091542 |
| The random variable x is : | 0.324246377991419 |
| The random variable x is : | 0.329447312789302 |
| The random variable x is : | 0.907990899361373 |
| The random variable x is : | 0.348805384215038 |
| The random variable x is : | 1.12856583164418 |
| The random variable x is : | 0.837073336233659 |
| The random variable x is : | 0.387208871098819 |
| The random variable x is : | 0.246967395070579 |
| The random variable x is : | 0.498186596132431 |
| The random variable x is : | 0.551663239664595 |
| The random variable x is : | 1.20405284107439 |
| The random variable x is : | 0.637238343489721 |
| The random variable x is : | 0.839874974108097 |
| The random variable x is : | 0.291657371592405 |
| The random variable x is : | 1.31707314819159 |
| The random variable x is : | 0.72447483432774 |
| The random variable x is : | 1.05000355816918 |
| The random variable x is : | 0.841818298961824 |
| The random variable x is : | 0.854682323179937 |
| The random variable x is : | 0.328945156536823 |
| The random variable x is : | 0.557814638330259 |
| The random variable x is : | 0.570974687936001 |
| The random variable x is : | 0.473392123293449 |
| The random variable x is : | 0.439802211416974 |
| The random variable x is : | 0.243749316192075 |
| The random variable x is : | 0.70014803122326 |
| The random variable x is : | 0.98168732137097 |
| The random variable x is : | 0.608689111878007 |
| The random variable x is : | 0.387794092521035 |
| The random variable x is : | 0.592915216224085 |
| The random variable x is : | 0.422979730189026 |
| The random variable x is : | 0.872924108088961 |
| The random variable x is : | 0.865854320463314 |
| The random variable x is : | 1.05008639370175 |
| The random variable x is : | 0.545748487263193 |
| The random variable x is : | 0.571947736136146 |
| The random variable x is : | 0.372052760391871 |
| The random variable x is : | 0.712916002222366 |
| The random variable x is : | 0.699800192616525 |
| The random variable x is : | 0.415944143852685 |
| The random variable x is : | 0.479543420491229 |
| The random variable x is : | 0.773569605582368 |
| The random variable x is : | 0.917565196783123 |
| The random variable x is : | 0.442458974031973 |
| The random variable x is : | 0.357608961582703 |
| The random variable x is : | 1.03754994476916 |
| The random variable x is : | 0.689998880222348 |
| The random variable x is : | 0.718010674712747 |
| The random variable x is : | 1.08508937834685 |
| The random variable x is : | 2.30193864819616 |
| The random variable x is : | 0.542759340073603 |
| The random variable x is : | 0.352781378071511 |
| The random variable x is : | 0.647672741335109 |
| The random variable x is : | 1.03610866938115 |
| The random variable x is : | 1.14862773617252 |
| The random variable x is : | 0.899020868499928 |
| The random variable x is : | 0.703466689481624 |
| The random variable x is : | 0.489323705257443 |
| The random variable x is : | 0.537142586569906 |
| The random variable x is : | 0.680659061562652 |
| The random variable x is : | 0.589303573279782 |
| The random variable x is : | 0.459373185188986 |
| The random variable x is : | 1.4616503603597 |
| The random variable x is : | 0.379527736136254 |
| The random variable x is : | 0.963199837855953 |
| The random variable x is : | 0.596881901536498 |
| The random variable x is : | 0.796983229159818 |
| The random variable x is : | 0.379443979182079 |
| The random variable x is : | 0.502917274078036 |
| The random variable x is : | 0.514031742397987 |
| The random variable x is : | 0.724453966220171 |
| The random variable x is : | 0.76101408307424 |
| The random variable x is : | 0.560310179020995 |
| The random variable x is : | 0.728101411033883 |
| The random variable x is : | 0.853934543289129 |
| The random variable x is : | 0.558377695221639 |
| The random variable x is : | 0.356909839163388 |
| The random variable x is : | 0.738559908194106 |
| The random variable x is : | 0.400468813644768 |
| The random variable x is : | 0.991038650125593 |
| The random variable x is : | 1.15327450717875 |
| The random variable x is : | 0.533925736801356 |
| The random variable x is : | 0.440384265785169 |
| The random variable x is : | 0.36599250878995 |
| The random variable x is : | 0.823338345052537 |
| The random variable x is : | 0.450185546938356 |
| The random variable x is : | 0.547506295688758 |
| The random variable x is : | 0.438272891817349 |
| The random variable x is : | 0.488616190511534 |
| The random variable x is : | 1.1112898855409 |
| The random variable x is : | 0.652581467152067 |
| The random variable x is : | 0.491067693107511 |
| The random variable x is : | 0.689982313277307 |
| The random variable x is : | 0.436745321522258 |
| The random variable x is : | 0.651150285919315 |
| The random variable x is : | 0.492924780429176 |
| The random variable x is : | 0.839788906600756 |
| The random variable x is : | 0.702033332942497 |
| The random variable x is : | 1.35006021584932 |
| The random variable x is : | 1.34814321074287 |
| The random variable x is : | 1.11628445244242 |
| The random variable x is : | 1.30683409632461 |
| The random variable x is : | 0.487964651066692 |
| The random variable x is : | 0.432596193744996 |
| The random variable x is : | 0.931635358527606 |
| The random variable x is : | 0.697473030394096 |
| The random variable x is : | 0.347381893271861 |
| The random variable x is : | 0.480998935333637 |
| The random variable x is : | 0.363680355691293 |
| The random variable x is : | 1.37465883935281 |
| The random variable x is : | 1.03351671693802 |
| The random variable x is : | 0.461170526211176 |
| The random variable x is : | 0.942084459171399 |
| The random variable x is : | 0.371580812784406 |
| The random variable x is : | 1.43126519831839 |
| The random variable x is : | 0.618430609827016 |
| The random variable x is : | 0.298552716572178 |
| The random variable x is : | 1.21092411990791 |
| The random variable x is : | 0.739132874239242 |
| The random variable x is : | 0.522444056483515 |
| The random variable x is : | 0.434176001822719 |
| The random variable x is : | 0.735262078909549 |
| The random variable x is : | 0.612085934850641 |
| The random variable x is : | 1.07094726872778 |
| The random variable x is : | 0.36855795372293 |
| The random variable x is : | 0.749740614147715 |
| The random variable x is : | 0.249485487544293 |
| The random variable x is : | 0.495964499999119 |
| The random variable x is : | 0.838158252904144 |
| The random variable x is : | 0.785881600611529 |
| The random variable x is : | 0.430379288680557 |
| The random variable x is : | 0.503731916691031 |
| The random variable x is : | 0.605105836906479 |
| The random variable x is : | 0.610560676003103 |
| The random variable x is : | 0.610837025070246 |
| The random variable x is : | 0.867435361005648 |
| The random variable x is : | 0.46451999712866 |
| The random variable x is : | 0.734185705421587 |
| The random variable x is : | 0.98826437620007 |
| The random variable x is : | 0.750448336203451 |
| The random variable x is : | 1.34820519765915 |
| The random variable x is : | 2.25604502620571 |
| The random variable x is : | 0.921017460177317 |
| The random variable x is : | 0.431865243179011 |
| The random variable x is : | 0.974491013536773 |
| The random variable x is : | 0.941206332457653 |
| The random variable x is : | 0.789835601637425 |
| The random variable x is : | 0.695705755650447 |
| The random variable x is : | 0.61336258318643 |
| The random variable x is : | 0.22952555238071 |
| The random variable x is : | 0.581857565719449 |
| The random variable x is : | 0.323362919184712 |
| The random variable x is : | 0.641329353229553 |
| The random variable x is : | 0.724147321751012 |
| The random variable x is : | 0.527245354790389 |
| The random variable x is : | 0.481819844363378 |
| The random variable x is : | 0.808304129305449 |
| The random variable x is : | 0.730536643667754 |
| The random variable x is : | 0.428781414528052 |
| The random variable x is : | 0.359659306585599 |
| The random variable x is : | 0.82903703326338 |
| The random variable x is : | 0.523201007849075 |
| The random variable x is : | 0.722214313257752 |
| The random variable x is : | 0.391431149128368 |
| The random variable x is : | 0.4700286516468 |
| The random variable x is : | 0.614173071138492 |
| The random variable x is : | 0.750478322828568 |
| The random variable x is : | 0.59373751856088 |
| The random variable x is : | 0.745695161878642 |
| The random variable x is : | 1.29189635374483 |
| The random variable x is : | 0.567093245138193 |
| The random variable x is : | 0.955610928278749 |
| The random variable x is : | 0.835662757779107 |
| The random variable x is : | 1.68049337713261 |
| The random variable x is : | 0.273111053857646 |
| The random variable x is : | 1.12614741503977 |
| The random variable x is : | 0.669627017149286 |
| The random variable x is : | 0.364515367479701 |
| The random variable x is : | 1.47757710797114 |
| The random variable x is : | 0.559463830514862 |
| The random variable x is : | 1.14584219253216 |
| The random variable x is : | 0.413739478340237 |
| The random variable x is : | 0.231519587788356 |
| The random variable x is : | 0.790356767596845 |
| The random variable x is : | 0.715715854066917 |
| The random variable x is : | 0.502264134425402 |
| The random variable x is : | 1.44450956598245 |
| The random variable x is : | 0.561625737360199 |
| The random variable x is : | 0.483354781984673 |
| The random variable x is : | 0.803042538330632 |
| The random variable x is : | 0.786176605132766 |
| The random variable x is : | 0.731357568279625 |
| The random variable x is : | 0.310626536490017 |
| The random variable x is : | 0.563453929600579 |
| The random variable x is : | 0.689581109326823 |
| The random variable x is : | 0.788880102182231 |
| The random variable x is : | 0.929132976586721 |
| The random variable x is : | 0.418805695178517 |
| The random variable x is : | 0.363875166276534 |
| The random variable x is : | 1.15391467560725 |
| The random variable x is : | 0.615931281338098 |
| The random variable x is : | 0.236260035078352 |
| The random variable x is : | 0.135655622681618 |
| The random variable x is : | 0.545688000127127 |
| The random variable x is : | 0.619326358267392 |
| The random variable x is : | 0.428347744046321 |
| The random variable x is : | 0.570374620929519 |
| The random variable x is : | 0.691781086251515 |
| The random variable x is : | 0.749563855695175 |
| The random variable x is : | 0.418046601855355 |
| The random variable x is : | 1.06813249589133 |
| The random variable x is : | 0.393817809362074 |
| The random variable x is : | 0.832591544872862 |
| The random variable x is : | 0.598066859493223 |
| The random variable x is : | 0.915698644762734 |
| The random variable x is : | 1.50122411670393 |
| The random variable x is : | 0.698360147066413 |
| The random variable x is : | 0.84824337754276 |
| The random variable x is : | 1.07275583701807 |
| The random variable x is : | 0.490707112806277 |
| The random variable x is : | 0.865068337813288 |
| The random variable x is : | 1.12640262905696 |
| The random variable x is : | 0.622222929970849 |
| The random variable x is : | 0.90347759518016 |
| The random variable x is : | 0.555139226044514 |
| The random variable x is : | 1.03564549734318 |
| The random variable x is : | 1.09566552778563 |
| The random variable x is : | 1.00287316550749 |
| The random variable x is : | 0.484903585422106 |
| The random variable x is : | 0.442715101782769 |
| The random variable x is : | 0.997612233660278 |
| The random variable x is : | 0.486363661252796 |
| The random variable x is : | 0.351633929570755 |
| The random variable x is : | 1.22638281441044 |
| The random variable x is : | 0.559804006818659 |
| The random variable x is : | 0.287051955962859 |
| The random variable x is : | 0.404611194317856 |
| The random variable x is : | 0.98350147215257 |
| The random variable x is : | 0.872647470207942 |
| The random variable x is : | 0.676409705195817 |
| The random variable x is : | 0.930477690173634 |
| The random variable x is : | 1.0227895341196 |
| The random variable x is : | 1.02313229585702 |
| The random variable x is : | 1.0451337108507 |
| The random variable x is : | 0.450629420807025 |
| The random variable x is : | 0.337928418475452 |
| The random variable x is : | 0.762293762679885 |
| The random variable x is : | 0.621412321499689 |
| The random variable x is : | 0.633042052881865 |
| The random variable x is : | 0.832182037066445 |
| The random variable x is : | 1.50845157503201 |
| The random variable x is : | 0.629230333112575 |
| The random variable x is : | 0.772605792269587 |
| The random variable x is : | 0.244451302914173 |
| The random variable x is : | 0.799379050367393 |
| The random variable x is : | 0.3129794701738 |
| The random variable x is : | 0.50108763631044 |
| The random variable x is : | 0.53570639429067 |
| The random variable x is : | 1.40057776708106 |
| The random variable x is : | 0.906685505499297 |
| The random variable x is : | 0.989700477384919 |
| The random variable x is : | 0.85365205010332 |
| The random variable x is : | 0.317905491723754 |
| The random variable x is : | 0.848637281007212 |
| The random variable x is : | 0.300581134391576 |
| The random variable x is : | 0.836780593938044 |
| The random variable x is : | 0.861219582329731 |
| The random variable x is : | 1.03629737403734 |
| The random variable x is : | 0.536349243678647 |
| The random variable x is : | 0.503952239757328 |
| The random variable x is : | 1.07875075313627 |
| The random variable x is : | 0.544545928657159 |
| The random variable x is : | 0.469321528132883 |
| The random variable x is : | 0.589712020199704 |
| The random variable x is : | 0.412867232497557 |
| The random variable x is : | 1.24586969835668 |
| The random variable x is : | 0.3967445393309 |
| The random variable x is : | 0.82815496341632 |
| The random variable x is : | 0.455031832385269 |
| The random variable x is : | 1.27976569833704 |
| The random variable x is : | 0.382333687974492 |
| The random variable x is : | 0.564599292767677 |
| The random variable x is : | 0.393280713594323 |
| The random variable x is : | 0.382279854700853 |
| The random variable x is : | 0.691335306911391 |
| The random variable x is : | 0.420773334010507 |
| The random variable x is : | 0.728543041364114 |
| The random variable x is : | 0.499649433372794 |
| The random variable x is : | 0.6435890432518 |
| The random variable x is : | 0.630279758715645 |
| The random variable x is : | 0.825933444107559 |
| The random variable x is : | 0.473386821589482 |
| The random variable x is : | 0.679244464606122 |
| The random variable x is : | 0.698815319115498 |
| The random variable x is : | 1.02330047021439 |
| The random variable x is : | 0.474893447412002 |
| The random variable x is : | 0.902256874928764 |
| The random variable x is : | 1.25489616635728 |
| The random variable x is : | 0.998052641887829 |
| The random variable x is : | 0.64127190888128 |
| The random variable x is : | 0.314596093489234 |
| The random variable x is : | 0.381429871125609 |
| The random variable x is : | 0.724141140216922 |
| The random variable x is : | 1.17394396839061 |
| The random variable x is : | 0.746875289175803 |
| The random variable x is : | 0.726010909433024 |
| The random variable x is : | 0.545665339445711 |
| The random variable x is : | 1.04299189816004 |
| The random variable x is : | 0.554044188642084 |
| The random variable x is : | 0.424519523193625 |
| The random variable x is : | 0.54818600277435 |
| The random variable x is : | 1.17745945034572 |
| The random variable x is : | 0.715304283155641 |
| The random variable x is : | 0.826575620754754 |
| The random variable x is : | 0.617899923375531 |
| The random variable x is : | 0.872101198683935 |
| The random variable x is : | 0.387206697092194 |
| The random variable x is : | 0.664107200765916 |
| The random variable x is : | 0.468357557080642 |
| The random variable x is : | 0.695451294453395 |
| The random variable x is : | 0.229110119613104 |
| The random variable x is : | 0.204514553467764 |
| The random variable x is : | 0.542813303940443 |
| The random variable x is : | 0.531493708696165 |
| The random variable x is : | 0.608741004301879 |
| The random variable x is : | 0.68708936499279 |
| The random variable x is : | 1.17940927199109 |
| The random variable x is : | 0.929762697215245 |
| The random variable x is : | 1.02457028827968 |
| The random variable x is : | 0.550499269436136 |
| The random variable x is : | 0.186329419545917 |
| The random variable x is : | 1.13870211784101 |
| The random variable x is : | 0.346403882611513 |
| The random variable x is : | 1.49242421200659 |
| The random variable x is : | 0.777681708241453 |
| The random variable x is : | 0.602450790326723 |
| The random variable x is : | 0.861380006562477 |
| The random variable x is : | 1.89409876632836 |
| The random variable x is : | 1.04240131619611 |
| The random variable x is : | 1.59322003503217 |
| The random variable x is : | 0.662510983945287 |
| The random variable x is : | 0.933550505995944 |
| The random variable x is : | 0.32774338520534 |
| The random variable x is : | 0.828924562892235 |
| The random variable x is : | 2.001314328855 |
| The random variable x is : | 0.508048228630412 |
| The random variable x is : | 0.452033498713421 |
| The random variable x is : | 0.253972454314911 |
| The random variable x is : | 0.394074003568542 |
| The random variable x is : | 0.851909818313453 |
| The random variable x is : | 0.252247590221562 |
| The random variable x is : | 0.698937933632672 |
| The random variable x is : | 0.566561656083143 |
| The random variable x is : | 0.607317012191232 |
| The random variable x is : | 0.613342267298807 |
| The random variable x is : | 0.841505984409976 |
| The random variable x is : | 0.673466919661644 |
| The random variable x is : | 1.11038594586248 |
| The random variable x is : | 0.445372765999986 |
| The random variable x is : | 0.652738232958058 |
| The random variable x is : | 0.687686464022357 |
| The random variable x is : | 0.528676369207644 |
| The random variable x is : | 0.541702984595627 |
| The random variable x is : | 0.53751787342069 |
| The random variable x is : | 0.393164742274912 |
| The random variable x is : | 0.496201041189607 |
| The random variable x is : | 0.857188734982469 |
| The random variable x is : | 0.773882561200286 |
| The random variable x is : | 0.434528442426405 |
| The random variable x is : | 1.29433449927608 |
| The random variable x is : | 0.562956715482956 |
| The random variable x is : | 0.44174275603506 |
| The random variable x is : | 0.202503526580814 |
| The random variable x is : | 0.350817084022522 |
| The random variable x is : | 0.620598548772935 |
| The random variable x is : | 0.716214627383002 |
| The random variable x is : | 0.609597621595666 |
| The random variable x is : | 0.718759077030563 |
| The random variable x is : | 0.40602270628359 |
| The random variable x is : | 0.551447359757364 |
| The random variable x is : | 1.12711401421236 |
| The random variable x is : | 0.34250981477105 |
| The random variable x is : | 0.567883329043295 |
| The random variable x is : | 0.744259527657108 |
| The random variable x is : | 0.412940593057347 |
| The random variable x is : | 0.49070117935252 |
| The random variable x is : | 0.736743094662604 |
| The random variable x is : | 0.770584710093001 |
| The random variable x is : | 0.637240421354655 |
| The random variable x is : | 0.328925246887056 |
| The random variable x is : | 0.488724040645149 |
| The random variable x is : | 0.779229581601522 |
| The random variable x is : | 0.982171248866188 |
| The random variable x is : | 0.416310189920186 |
| The random variable x is : | 0.855545652386968 |
| The random variable x is : | 0.513986364571561 |
| The random variable x is : | 0.686429711948091 |
| The random variable x is : | 0.763099324055208 |
| The random variable x is : | 0.754295402939572 |
| The random variable x is : | 1.0990049805671 |
| The random variable x is : | 0.293806790029964 |
| The random variable x is : | 0.703989065579117 |
| The random variable x is : | 0.932623670475099 |
| The random variable x is : | 0.64783245972217 |
| The random variable x is : | 0.494339867867603 |
| The random variable x is : | 0.315448350069832 |
| The random variable x is : | 0.404763463113296 |
| The random variable x is : | 0.357530658246699 |
| The random variable x is : | 0.965779152242311 |
| The random variable x is : | 1.1388157117422 |
| The random variable x is : | 0.313678710247874 |
| The random variable x is : | 0.449676262119864 |
| The random variable x is : | 0.252647387592362 |
| The random variable x is : | 0.765985560093883 |
| The random variable x is : | 0.929880337635372 |
| The random variable x is : | 0.971734594320143 |
| The random variable x is : | 0.727052750102552 |
| The random variable x is : | 0.679600507805546 |
| The random variable x is : | 0.78455580401805 |
| The random variable x is : | 0.476827940625272 |
| The random variable x is : | 1.21481449379224 |
| The random variable x is : | 0.425264287143926 |
| The random variable x is : | 0.826984049595937 |
| The random variable x is : | 0.85313354322286 |
| The random variable x is : | 0.686102981879718 |
| The random variable x is : | 0.983584121031399 |
| The random variable x is : | 1.34694315799646 |
| The random variable x is : | 0.749558155818412 |
| The random variable x is : | 0.483474611289021 |
| The random variable x is : | 0.5051194241608 |
| The random variable x is : | 0.923912801752678 |
| The random variable x is : | 0.60319633971893 |
| The random variable x is : | 0.946832698236847 |
| The random variable x is : | 0.639546375490381 |
| The random variable x is : | 0.378561960327432 |
| The random variable x is : | 0.301218521171482 |
| The random variable x is : | 0.499593834553825 |
| The random variable x is : | 0.881970024816957 |
| The random variable x is : | 0.327566051464308 |
| The random variable x is : | 0.983116870595114 |
| The random variable x is : | 0.695972155590249 |
| The random variable x is : | 0.52473081944965 |
| The random variable x is : | 0.779934268736041 |
| The random variable x is : | 1.01913453713822 |
| The random variable x is : | 0.662831166823215 |
| The random variable x is : | 0.863850005075969 |
| The random variable x is : | 1.20691477100023 |
| The random variable x is : | 0.465313679045854 |
| The random variable x is : | 0.716764093518307 |
| The random variable x is : | 0.545042022171859 |
| The random variable x is : | 0.454682170789719 |
| The random variable x is : | 0.824272605487482 |
| The random variable x is : | 0.211102141397116 |
| The random variable x is : | 0.41859734888341 |
| The random variable x is : | 1.19147721116713 |
| The random variable x is : | 0.611931560467076 |
| The random variable x is : | 0.745514470055286 |
| The random variable x is : | 0.509476440428229 |
| The random variable x is : | 0.958400766441892 |
| The random variable x is : | 0.603541491261453 |
| The random variable x is : | 0.885920405903698 |
| The random variable x is : | 0.592471916249388 |
| The random variable x is : | 0.891130499485193 |
| The random variable x is : | 0.807411673359708 |
| The random variable x is : | 0.49191498470468 |
| The random variable x is : | 0.606543279450702 |
| The random variable x is : | 0.582143327343415 |
| The random variable x is : | 0.53529477506621 |
| The random variable x is : | 0.761579484448464 |
| The random variable x is : | 1.61928575469155 |
| The random variable x is : | 0.638524966620287 |
| The random variable x is : | 0.194337258813498 |
| The random variable x is : | 0.836467153002455 |
| The random variable x is : | 0.878158304596062 |
| The random variable x is : | 0.371996125476115 |
| The random variable x is : | 0.632107392478223 |
| The random variable x is : | 0.372647059951676 |
| The random variable x is : | 0.669367551317181 |
| The random variable x is : | 0.899044192679976 |
| The random variable x is : | 0.554400900329379 |
| The random variable x is : | 0.798500253028541 |
| The random variable x is : | 0.512400763279785 |
| The random variable x is : | 0.815508059883513 |
| The random variable x is : | 0.435426479899365 |
| The random variable x is : | 1.1684959547174 |
| The random variable x is : | 0.456892950771341 |
| The random variable x is : | 0.723740710310523 |
| The random variable x is : | 0.335888062704707 |
| The random variable x is : | 1.19372612362984 |
| The random variable x is : | 0.79481834875564 |
| The random variable x is : | 0.632899107892701 |
| The random variable x is : | 0.220747557555091 |
| The random variable x is : | 0.197090835593692 |
| The random variable x is : | 1.03579288680028 |
| The random variable x is : | 0.903308410535274 |
| The random variable x is : | 0.840083073674328 |
| The random variable x is : | 0.630506627287868 |
| The random variable x is : | 1.16162552642617 |
| The random variable x is : | 1.12736653873089 |
| The random variable x is : | 0.607519387403352 |
| The random variable x is : | 0.796962001774292 |
| The random variable x is : | 0.844948523158626 |
| The random variable x is : | 0.207010091418479 |
| The random variable x is : | 1.63495634282833 |
| The random variable x is : | 0.413498089845069 |
| The random variable x is : | 0.965743413181246 |
| The random variable x is : | 0.83689165213328 |
| The random variable x is : | 0.354395138990015 |
| The random variable x is : | 0.723580331564133 |
| The random variable x is : | 0.73266106749131 |
| The random variable x is : | 0.781849542158674 |
| The random variable x is : | 0.722833914761613 |
| The random variable x is : | 0.666167552552436 |
| The random variable x is : | 1.18065008776658 |
| The random variable x is : | 0.101803042834205 |
| The random variable x is : | 0.860580193803388 |
| The random variable x is : | 0.85216641983713 |
| The random variable x is : | 0.661413890193493 |
| The random variable x is : | 0.361675484109031 |
| The random variable x is : | 0.553993293530714 |
| The random variable x is : | 1.18247791549099 |
| The random variable x is : | 0.710096636692404 |
| The random variable x is : | 0.835069116586873 |
| The random variable x is : | 0.593501911251619 |
| The random variable x is : | 0.536429818863751 |
| The random variable x is : | 0.866797757929296 |
| The random variable x is : | 0.349272708861699 |
| The random variable x is : | 0.420115336360027 |
| The random variable x is : | 0.697483958833567 |
| The random variable x is : | 0.628739576047179 |
| The random variable x is : | 0.427018808733653 |
| The random variable x is : | 0.832101956728522 |
| The random variable x is : | 1.11156977812729 |
| The random variable x is : | 0.560426173531212 |
| The random variable x is : | 0.770704254171856 |
| The random variable x is : | 0.609423268866471 |
| The random variable x is : | 0.371673597917624 |
| The random variable x is : | 0.687098466944954 |
| The random variable x is : | 0.766180948190713 |
| The random variable x is : | 0.786622703363253 |
| The random variable x is : | 0.679708209317217 |
| The random variable x is : | 0.531735975653762 |
| The random variable x is : | 0.436032566945857 |
| The random variable x is : | 0.487366076941007 |
| The random variable x is : | 1.25634831354086 |
| The random variable x is : | 0.461739981872832 |
| The random variable x is : | 0.87538586110654 |
| The random variable x is : | 0.627293869133245 |
| The random variable x is : | 0.622383746978242 |
| The random variable x is : | 0.570307217352516 |
| The random variable x is : | 0.423213970907023 |
| The random variable x is : | 1.20829915782582 |
| The random variable x is : | 0.691980946644577 |
| The random variable x is : | 0.497029406577787 |
| The random variable x is : | 1.03397628204026 |
| The random variable x is : | 1.03592684317306 |
| The random variable x is : | 0.411071818367742 |
| The random variable x is : | 0.786899002708901 |
| The random variable x is : | 0.969046845623928 |
| The random variable x is : | 0.191561941983777 |
| The random variable x is : | 1.25568505812391 |
| The random variable x is : | 1.33646420525425 |
| The random variable x is : | 1.03818258907765 |
| The random variable x is : | 0.955635200499111 |
| The random variable x is : | 0.672227663108204 |
| The random variable x is : | 0.997106468447356 |
| The random variable x is : | 1.032841888102 |
| The random variable x is : | 1.60174941777985 |
| The random variable x is : | 1.15592666957758 |
| The random variable x is : | 1.3049616928574 |
| The random variable x is : | 0.830580651629735 |
| The random variable x is : | 0.797905478879309 |
| The random variable x is : | 0.5193010155799 |
| The random variable x is : | 0.784179853400641 |
| The random variable x is : | 1.11415273092892 |
| The random variable x is : | 0.597674478914433 |
| The random variable x is : | 0.738287868885786 |
| The random variable x is : | 0.753266317491828 |
| The random variable x is : | 0.530210637502324 |
| The random variable x is : | 0.553131554420248 |
| The random variable x is : | 0.468599784526016 |
| The random variable x is : | 0.879755148277735 |
| The random variable x is : | 0.748649361966041 |
| The random variable x is : | 0.307751523145714 |
| The random variable x is : | 0.80400133692721 |
| The random variable x is : | 1.22473154604526 |
| The random variable x is : | 0.546569984114326 |
| The random variable x is : | 0.467521144365852 |
| The random variable x is : | 0.906628640747381 |
| The random variable x is : | 0.868526189908066 |
| The random variable x is : | 0.891629302540154 |
| The random variable x is : | 0.320946861646438 |
| The random variable x is : | 0.367107285811055 |
| The random variable x is : | 0.484529765434114 |
| The random variable x is : | 0.835373817511434 |
| The random variable x is : | 1.20431874644801 |
| The random variable x is : | 0.665347433012361 |
| The random variable x is : | 0.670880751500729 |
| The random variable x is : | 0.639494002840936 |
| The random variable x is : | 0.338933428460692 |
| The random variable x is : | 0.93497713215923 |
| The random variable x is : | 0.943261856493635 |
| The random variable x is : | 0.894686980707908 |
| The random variable x is : | 0.267736757251679 |
| The random variable x is : | 1.00462461745224 |
| The random variable x is : | 0.671671361377185 |
| The random variable x is : | 0.507274464267045 |
| The random variable x is : | 0.720173959682607 |
| The random variable x is : | 0.347517193776559 |
| The random variable x is : | 0.591409025595348 |
| The random variable x is : | 0.386900044088585 |
| The random variable x is : | 0.537524721987466 |
| The random variable x is : | 0.639513341926409 |
| The random variable x is : | 0.244300625307593 |
| The random variable x is : | 0.884736954677866 |
| The random variable x is : | 0.538595382842099 |
| The random variable x is : | 0.392685887504803 |
| The random variable x is : | 0.692143908901093 |
| The random variable x is : | 0.958945830752459 |
| The random variable x is : | 0.537557333072646 |
| The random variable x is : | 0.172569899142557 |
| The random variable x is : | 0.591290519407921 |
| The random variable x is : | 0.886977229088046 |
| The random variable x is : | 0.642231324063748 |
| The random variable x is : | 0.439378782840888 |
| The random variable x is : | 0.506729300451807 |
| The random variable x is : | 0.710886671613779 |
| The random variable x is : | 0.576716816303475 |
| The random variable x is : | 0.981369067042138 |
| The random variable x is : | 0.785894654899462 |
| The random variable x is : | 0.633334641870408 |
| The random variable x is : | 0.572772837938921 |
| The random variable x is : | 0.702832645629543 |
| The random variable x is : | 0.387673030398916 |
| The random variable x is : | 1.28006497347468 |
| The random variable x is : | 0.755703328633778 |
| The random variable x is : | 1.02798232389967 |
| The random variable x is : | 0.985370798475778 |
| The random variable x is : | 0.434364885999648 |
| The random variable x is : | 1.06596848173709 |
| The random variable x is : | 1.72516460448171 |
| The random variable x is : | 0.794528021797305 |
| The random variable x is : | 0.534840196087746 |
| The random variable x is : | 0.996582387950712 |
| The random variable x is : | 0.536444901421188 |
| The random variable x is : | 0.848853930218899 |
| The random variable x is : | 0.827885647770853 |
| The random variable x is : | 1.32405228807067 |
| The random variable x is : | 0.551063817967712 |
| The random variable x is : | 0.702114867899207 |
| The random variable x is : | 0.661971490575147 |
| The random variable x is : | 0.616914427585757 |
| The random variable x is : | 0.383629037843076 |
| The random variable x is : | 0.415989749415815 |
| The random variable x is : | 0.75265460946821 |
| The random variable x is : | 0.61272930622767 |
| The random variable x is : | 1.02707191349528 |
| The random variable x is : | 0.731971350536453 |
| The random variable x is : | 0.451030890420621 |
| The random variable x is : | 0.925110351682566 |
| The random variable x is : | 0.661213278788724 |
| The random variable x is : | 0.478565580580051 |
| The random variable x is : | 0.49463283408596 |
| The random variable x is : | 0.904078031007936 |
| The random variable x is : | 0.513444830358134 |
| The random variable x is : | 0.475165055319703 |
| The random variable x is : | 0.943197134691314 |
| The random variable x is : | 0.484996817466191 |
| The random variable x is : | 0.593523732662493 |
| The random variable x is : | 0.513822590248109 |
| The random variable x is : | 0.485412415178233 |
| The random variable x is : | 0.554335911791554 |
| The random variable x is : | 0.691379730073953 |
| The random variable x is : | 1.29408392187431 |
| The random variable x is : | 0.287952928841565 |
| The random variable x is : | 0.979867588159027 |
| The random variable x is : | 0.660074709888511 |
| The random variable x is : | 1.01437259192927 |
| The random variable x is : | 0.791168611168505 |
| The random variable x is : | 0.377965264037652 |
| The random variable x is : | 0.631067303618067 |
| The random variable x is : | 0.931797375844692 |
| The random variable x is : | 0.228343497806186 |
| The random variable x is : | 0.438126836562289 |
| The random variable x is : | 0.515902648253204 |
| The random variable x is : | 0.997676693598291 |
| The random variable x is : | 0.54133348780194 |
| The random variable x is : | 0.406074046780894 |
| The random variable x is : | 1.48114800708791 |
| The random variable x is : | 0.272195063839989 |
| The random variable x is : | 1.26641556883751 |
| The random variable x is : | 0.752819543148272 |
| The random variable x is : | 0.869052104875133 |
| The random variable x is : | 0.602311829521211 |
| The random variable x is : | 1.05913914524564 |
| The random variable x is : | 0.780316015658611 |
| The random variable x is : | 0.789626544415405 |
| The random variable x is : | 0.679787797251363 |
| The random variable x is : | 1.36168545256283 |
| The random variable x is : | 0.426549579776525 |
| The random variable x is : | 0.638342809323436 |
| The random variable x is : | 0.406301077263544 |
| The random variable x is : | 1.03672652409726 |
| The random variable x is : | 0.910516573396893 |
| The random variable x is : | 0.737633083184669 |
| The random variable x is : | 0.704078421389756 |
| The random variable x is : | 0.509082399321999 |
| The random variable x is : | 0.617761095569154 |
| The random variable x is : | 0.872006925388076 |
| The random variable x is : | 0.287338057837874 |
| The random variable x is : | 0.266317096630622 |
| The random variable x is : | 0.80805537868125 |
| The random variable x is : | 0.502884726510819 |
| The random variable x is : | 0.987868021785896 |
| The random variable x is : | 0.999134592314582 |
| The random variable x is : | 0.86988987386095 |
| The random variable x is : | 0.869958803334088 |
| The random variable x is : | 0.356392940706609 |
| The random variable x is : | 0.938107115559448 |
| The random variable x is : | 0.770023351993881 |
| The random variable x is : | 0.74723754399896 |
| The random variable x is : | 0.336479622733501 |
| The random variable x is : | 0.868472940970487 |
| The random variable x is : | 1.33847200445397 |
| The random variable x is : | 0.533835806742463 |
| The random variable x is : | 0.653406972208639 |
| The random variable x is : | 0.696053390729443 |
| The random variable x is : | 1.0085788880344 |
| The random variable x is : | 0.846658728582662 |
| The random variable x is : | 0.58904974561445 |
| The random variable x is : | 0.635675559422494 |
| The random variable x is : | 0.569225827730099 |
| The random variable x is : | 0.198497000618391 |
| The random variable x is : | 0.587313566833849 |
| The random variable x is : | 0.552282175286971 |
| The random variable x is : | 0.572167501358085 |
| The random variable x is : | 0.737335714633005 |
| The random variable x is : | 0.967153678593679 |
| The random variable x is : | 0.449582507657652 |
| The random variable x is : | 0.713275026852966 |
| The random variable x is : | 0.209708062237664 |
| The random variable x is : | 0.866991039149716 |
| The random variable x is : | 0.572223692552311 |
| The random variable x is : | 0.814906095023667 |
| The random variable x is : | 0.871840896504724 |
| The random variable x is : | 0.87382660075487 |
| The random variable x is : | 0.599033785494976 |
| The random variable x is : | 0.644219544859979 |
| The random variable x is : | 0.614783417433796 |
| The random variable x is : | 0.161429839227755 |
| The random variable x is : | 0.682235026655766 |
| The random variable x is : | 0.537365105641912 |
| The random variable x is : | 0.316183182815442 |
| The random variable x is : | 1.06366731686935 |
| The random variable x is : | 1.16256258078019 |
| The random variable x is : | 1.56873024319211 |
| The random variable x is : | 1.43825789187063 |
| The random variable x is : | 0.815672036336114 |
| The random variable x is : | 0.452876441539232 |
| The random variable x is : | 0.646564580132757 |
| The random variable x is : | 0.906385211716607 |
| The random variable x is : | 0.514396265046631 |
| The random variable x is : | 1.24131597710001 |
| The random variable x is : | 0.672635615389277 |
| The random variable x is : | 0.26380031632649 |
| The random variable x is : | 1.13523656692288 |
| The random variable x is : | 0.432096924253373 |
| The random variable x is : | 1.72028265768705 |
| The random variable x is : | 1.2759123789322 |
| The random variable x is : | 0.203047049917773 |
| The random variable x is : | 0.413883903861718 |
| The random variable x is : | 0.963895636728249 |
| The random variable x is : | 0.851871204793287 |
| The random variable x is : | 0.559413041956691 |
| The random variable x is : | 0.724126156322992 |
| The random variable x is : | 0.732721602213349 |
| The random variable x is : | 0.625806051147986 |
| The random variable x is : | 0.249022910410511 |
| The random variable x is : | 0.846485629940176 |
| The random variable x is : | 0.753885241556701 |
| The random variable x is : | 0.845657184418743 |
| The random variable x is : | 1.13345343059574 |
| The random variable x is : | 0.508207080908292 |
| The random variable x is : | 0.356355479190128 |
| The random variable x is : | 0.612870248794953 |
| The random variable x is : | 0.767076538445789 |
| The random variable x is : | 0.59487651133534 |
| The random variable x is : | 0.378081128905311 |
| The random variable x is : | 1.36693091679997 |
| The random variable x is : | 0.837723020796806 |
| The random variable x is : | 0.361039413066512 |
| The random variable x is : | 0.332290022154178 |
| The random variable x is : | 0.487679713943317 |
| The random variable x is : | 0.595290493932795 |
| The random variable x is : | 0.570880935569396 |
| The random variable x is : | 0.450790868066006 |
| The random variable x is : | 0.943868422934325 |
| The random variable x is : | 0.301237834458584 |
| The random variable x is : | 0.516276817209571 |
| The random variable x is : | 0.566890142882128 |
| The random variable x is : | 0.467031929093326 |
| The random variable x is : | 0.714848945671602 |
| The random variable x is : | 0.775374166368875 |
| The random variable x is : | 0.459903385434414 |
| The random variable x is : | 0.82911864398174 |
| The random variable x is : | 0.795963149513807 |
| The random variable x is : | 0.35109628599608 |
| The random variable x is : | 0.805585033667502 |
| The random variable x is : | 0.966029208225019 |
| The random variable x is : | 1.38847536957219 |
| The random variable x is : | 2.23797721331055 |
| The random variable x is : | 0.450269807131549 |
| The random variable x is : | 0.766407050001985 |
| The random variable x is : | 0.295787206155574 |
| The random variable x is : | 0.638889503447607 |
| The random variable x is : | 0.929308410120992 |
| The random variable x is : | 0.489718589896132 |
| The random variable x is : | 1.45757607482631 |
| The random variable x is : | 0.536684027548054 |
| The random variable x is : | 0.530550560355919 |
| The random variable x is : | 0.376527569064594 |
| The random variable x is : | 0.193356417497314 |
| The random variable x is : | 0.98087628912865 |
| The random variable x is : | 0.390867179186284 |
| The random variable x is : | 0.561688802004133 |
| The random variable x is : | 0.647398863015602 |
| The random variable x is : | 0.789463592299506 |
| The random variable x is : | 1.75530858728868 |
| The random variable x is : | 0.744664718489779 |
| The random variable x is : | 0.783145499633718 |
| The random variable x is : | 1.08310497729387 |
| The random variable x is : | 0.415160925682335 |
| The random variable x is : | 1.0842519135589 |
| The random variable x is : | 0.51354561992782 |
| The random variable x is : | 0.682421157624254 |
| The random variable x is : | 0.926779824409109 |
| The random variable x is : | 1.11073302015091 |
| The random variable x is : | 0.890437266506223 |
| The random variable x is : | 1.06074839268199 |
| The random variable x is : | 1.08628067966751 |
| The random variable x is : | 0.39543933704178 |
| The random variable x is : | 0.679228520956953 |
| The random variable x is : | 0.819057002406715 |
| The random variable x is : | 0.471576741703788 |
| The random variable x is : | 0.568022072191967 |
| The random variable x is : | 0.238490408435909 |
| The random variable x is : | 0.636612077859429 |
| The random variable x is : | 0.63131729995257 |
| The random variable x is : | 0.994277486464378 |
| The random variable x is : | 0.389823793798659 |
| The random variable x is : | 1.34610410649063 |
| The random variable x is : | 0.675344293656341 |
| The random variable x is : | 0.501664313181286 |
| The random variable x is : | 0.574181852958244 |
| The random variable x is : | 0.29232670099825 |
| The random variable x is : | 0.734701528137775 |
| The random variable x is : | 0.948293047396625 |
| The random variable x is : | 1.1979073931275 |
| The random variable x is : | 0.71856386491199 |
| The random variable x is : | 1.0127687547173 |
| The random variable x is : | 1.13889535047809 |
| The random variable x is : | 0.618955861481584 |
| The random variable x is : | 0.353144135512311 |
| The random variable x is : | 1.50248050017324 |
| The random variable x is : | 1.40487561141205 |
| The random variable x is : | 1.05189013158822 |
| The random variable x is : | 0.633033547993702 |
| The random variable x is : | 0.248776083735396 |
| The random variable x is : | 0.877024528163539 |
| The random variable x is : | 0.489645025675846 |
| The random variable x is : | 0.346616605887756 |
| The random variable x is : | 0.609566045166014 |
| The random variable x is : | 0.716153344186951 |
| The random variable x is : | 1.01521748274533 |
| The random variable x is : | 0.962381700824666 |
| The random variable x is : | 0.60477517648432 |
| The random variable x is : | 0.805767819139941 |
| The random variable x is : | 0.418710521480525 |
| The random variable x is : | 0.385819806835727 |
| The random variable x is : | 0.168706551671759 |
| The random variable x is : | 0.863944231259746 |
| The random variable x is : | 0.319360786439416 |
| The random variable x is : | 0.488135239174753 |
| The random variable x is : | 0.904366468366453 |
| The random variable x is : | 0.620599153267593 |
| The random variable x is : | 0.390849942778518 |
| The random variable x is : | 1.29064271230684 |
| The random variable x is : | 1.01798202948339 |
| The random variable x is : | 0.55752167263101 |
| The random variable x is : | 0.321310294299917 |
| The random variable x is : | 1.29417587535592 |
| The random variable x is : | 0.700949990305129 |
| The random variable x is : | 0.589198047371063 |
| The random variable x is : | 0.46110118763807 |
| The random variable x is : | 1.18601475875542 |
| The random variable x is : | 0.566803304765445 |
| The random variable x is : | 1.20355721882022 |
| The random variable x is : | 0.598925341574964 |
| The random variable x is : | 0.649446157007725 |
| The random variable x is : | 0.783672174461194 |
| The random variable x is : | 0.651686390648351 |
| The random variable x is : | 0.710314675849052 |
| The random variable x is : | 0.461174056561176 |
| The random variable x is : | 0.814760069530008 |
| The random variable x is : | 0.84456435209696 |
| The random variable x is : | 0.969100342490869 |
| The random variable x is : | 0.668845122762438 |
| The random variable x is : | 1.12994699517833 |
| The random variable x is : | 0.532751589873648 |
| The random variable x is : | 0.249758467130433 |
| The random variable x is : | 1.0892389334117 |
| The random variable x is : | 0.916036057679853 |
| The random variable x is : | 0.407826311430364 |
| The random variable x is : | 0.462718193673758 |
| The random variable x is : | 0.522632906969959 |
| The random variable x is : | 0.761570050708521 |
| The random variable x is : | 0.855882516313693 |
| The random variable x is : | 0.860571661013825 |
| The random variable x is : | 1.35709867005948 |
| The random variable x is : | 0.765636540028385 |
| The random variable x is : | 0.242041166159601 |
| The random variable x is : | 0.274956639312945 |
| The random variable x is : | 1.0366999930598 |
| The random variable x is : | 0.598741709055962 |
| The random variable x is : | 0.736685928770561 |
| The random variable x is : | 0.47186443717173 |
| The random variable x is : | 0.766228180464051 |
| The random variable x is : | 0.477768206092258 |
| The random variable x is : | 0.588646112621334 |
| The random variable x is : | 0.698057023624805 |
| The random variable x is : | 0.43248903641875 |
| The random variable x is : | 0.566535493797506 |
| The random variable x is : | 0.871226697055222 |
| The random variable x is : | 0.76113229561798 |
| The random variable x is : | 0.535066287797325 |
| The random variable x is : | 0.48412118094916 |
| The random variable x is : | 0.226298633643779 |
| The random variable x is : | 1.17229847500545 |
| The random variable x is : | 0.328340434102514 |
| The random variable x is : | 0.679313852676814 |
| The random variable x is : | 0.496475755415729 |
| The random variable x is : | 1.52697757818863 |
| The random variable x is : | 0.879176216696618 |
| The random variable x is : | 0.264132734855778 |
| The random variable x is : | 0.850835313384297 |
| The random variable x is : | 0.452317784992642 |
| The random variable x is : | 0.512673805257979 |
| The random variable x is : | 0.877059516067481 |
| The random variable x is : | 0.92755911679567 |
| The random variable x is : | 0.912994233819556 |
| The random variable x is : | 0.509887329223824 |
| The random variable x is : | 0.492574619851024 |
| The random variable x is : | 0.866393549581081 |
| The random variable x is : | 0.358689042265953 |
| The random variable x is : | 0.528947327728117 |
| The random variable x is : | 0.491547843316975 |
| The random variable x is : | 0.348172895994205 |
| The random variable x is : | 0.337190663872603 |
| The random variable x is : | 0.766765053849843 |
| The random variable x is : | 0.541812516189002 |
| The random variable x is : | 0.634494646213844 |
| The random variable x is : | 0.773072472555689 |
| The random variable x is : | 0.435260564305681 |
| The random variable x is : | 0.937323078968287 |
| The random variable x is : | 0.598738623350006 |
| The random variable x is : | 0.884963506605897 |
| The random variable x is : | 1.49768995238836 |
| The random variable x is : | 0.365157749795184 |
| The random variable x is : | 0.283441737856915 |
| The random variable x is : | 1.04162467482641 |
| The random variable x is : | 0.550343059468596 |
| The random variable x is : | 0.396555339621554 |
| The random variable x is : | 0.854384306132569 |
| The random variable x is : | 0.47843098699539 |
| The random variable x is : | 0.197289148800446 |
| The random variable x is : | 0.7350746558667 |
| The random variable x is : | 1.02668159165943 |
| The random variable x is : | 0.35644042640504 |
| The random variable x is : | 0.477328625237062 |
| The random variable x is : | 1.3247568201342 |
| The random variable x is : | 0.261809698391192 |
| The random variable x is : | 0.417185647664768 |
| The random variable x is : | 1.01413728203537 |
| The random variable x is : | 0.439150609553864 |
| The random variable x is : | 0.918001334126219 |
| The random variable x is : | 0.623168917226215 |
| The random variable x is : | 0.761063127476788 |
| The random variable x is : | 0.727471850671964 |
| The random variable x is : | 0.454832580928198 |
| The random variable x is : | 0.791641719660633 |
| The random variable x is : | 0.38586319496642 |
| The random variable x is : | 0.300921002462431 |
| The random variable x is : | 0.891716158791451 |
| The random variable x is : | 0.213859279379265 |
| The random variable x is : | 0.402233042922784 |
| The random variable x is : | 0.553619431599574 |
| The random variable x is : | 1.03069294559299 |
| The random variable x is : | 0.981677409014345 |
| The random variable x is : | 0.674908404908547 |
| The random variable x is : | 0.382624144562256 |
| The random variable x is : | 0.663133676932797 |
| The random variable x is : | 0.915310528226646 |
| The random variable x is : | 0.854267859581215 |
| The random variable x is : | 0.457244247832545 |
| The random variable x is : | 0.671964815012169 |
| The random variable x is : | 0.282416041378717 |
| The random variable x is : | 0.323289173333712 |
| The random variable x is : | 0.562076945107239 |
| The random variable x is : | 1.00925080625287 |
| The random variable x is : | 0.834159355345811 |
| The random variable x is : | 0.442525725495752 |
| The random variable x is : | 0.665856996419952 |
| The random variable x is : | 0.702721473346871 |
| The random variable x is : | 0.858280737507335 |
| The random variable x is : | 0.839713468009694 |
| The random variable x is : | 0.745945824840514 |
| The random variable x is : | 1.06004924075698 |
| The random variable x is : | 1.7806506328897 |
| The random variable x is : | 0.551797163413383 |
| The random variable x is : | 0.266418771784496 |
| The random variable x is : | 0.695459673558314 |
| The random variable x is : | 0.683196330210235 |
| The random variable x is : | 0.825692327472053 |
| The random variable x is : | 0.864161932108526 |
| The random variable x is : | 0.962193504207477 |
| The random variable x is : | 0.790931041920917 |
| The random variable x is : | 0.617630072652604 |
| The random variable x is : | 0.482542268063553 |
| The random variable x is : | 0.59764559831768 |
| The random variable x is : | 0.706424305991238 |
| The random variable x is : | 1.73148706371002 |
| The random variable x is : | 1.05948787722356 |
| The random variable x is : | 0.321995945483787 |
| The random variable x is : | 0.297910253949313 |
| The random variable x is : | 1.27774679472029 |
| The random variable x is : | 0.808197509533309 |
| The random variable x is : | 0.755899212206358 |
| The random variable x is : | 0.701412371380624 |
| The random variable x is : | 0.675150645798122 |
| The random variable x is : | 1.03040172241111 |
| The random variable x is : | 0.440730905969589 |
| The random variable x is : | 0.373974042501767 |
| The random variable x is : | 0.590567596378935 |
| The random variable x is : | 0.799165023349609 |
| The random variable x is : | 0.960177647851797 |
| The random variable x is : | 0.461287871266707 |
| The random variable x is : | 0.548003900043995 |
| The random variable x is : | 0.662342379941222 |
| The random variable x is : | 0.527372551110724 |
| The random variable x is : | 1.25357333216811 |
| The random variable x is : | 0.945033038503241 |
| The random variable x is : | 0.573966706919133 |
| The random variable x is : | 0.471546726072567 |
| The random variable x is : | 1.02208585951393 |
| The random variable x is : | 0.692936770811831 |
| The random variable x is : | 0.277995694229559 |
| The random variable x is : | 0.630265713378429 |
| The random variable x is : | 0.434924149996832 |
| The random variable x is : | 0.571982022424121 |
| The random variable x is : | 0.769043223048403 |
| The random variable x is : | 0.954252754743689 |
| The random variable x is : | 0.51541468767625 |
| The random variable x is : | 0.929307658080431 |
| The random variable x is : | 0.534286515343184 |
| The random variable x is : | 0.782103447371202 |
| The random variable x is : | 0.497310934004411 |
| The random variable x is : | 1.25857974493727 |
| The random variable x is : | 0.865016037296031 |
| The random variable x is : | 0.584166114835616 |
| The random variable x is : | 0.515894577549771 |
| The random variable x is : | 1.253042005062 |
| The random variable x is : | 0.776857964121869 |
| The random variable x is : | 0.626812539714156 |
| The random variable x is : | 1.1866061849365 |
| The random variable x is : | 0.107982946978231 |
| The random variable x is : | 0.415761312931635 |
| The random variable x is : | 0.407129881057055 |
| The random variable x is : | 0.799148205964286 |
| The random variable x is : | 1.09781086796632 |
| The random variable x is : | 1.21611922471716 |
| The random variable x is : | 0.826998159498341 |
| The random variable x is : | 0.328511164168474 |
| The random variable x is : | 1.20300096083912 |
| The random variable x is : | 1.04239579154812 |
| The random variable x is : | 0.96757142582225 |
| The random variable x is : | 0.433466594813598 |
| The random variable x is : | 0.622478085597853 |
| The random variable x is : | 1.06449403485194 |
| The random variable x is : | 0.495203265328449 |
| The random variable x is : | 0.453483261005528 |
| The random variable x is : | 0.84002633763125 |
| The random variable x is : | 0.583918570583267 |
| The random variable x is : | 0.557702501065001 |
| The random variable x is : | 1.17296469761667 |
| The random variable x is : | 0.440422771851659 |
| The random variable x is : | 0.472438612380328 |
| The random variable x is : | 0.810145098146691 |
| The random variable x is : | 0.795868115619842 |
| The random variable x is : | 0.739330243581308 |
| The random variable x is : | 0.366229148924534 |
| The random variable x is : | 0.588841002532767 |
| The random variable x is : | 0.216714336614291 |
| The random variable x is : | 0.891989465583554 |
| The random variable x is : | 1.64766297420499 |
| The random variable x is : | 0.720730441625496 |
| The random variable x is : | 0.713415816112978 |
| The random variable x is : | 0.629902259287929 |
| The random variable x is : | 0.595227558949154 |
| The random variable x is : | 0.476704973808987 |
| The random variable x is : | 0.865660816825328 |
| The random variable x is : | 1.11400381475469 |
| The random variable x is : | 0.915183653767142 |
| The random variable x is : | 1.15329084666496 |
| The random variable x is : | 0.567968150864467 |
| The random variable x is : | 0.939948558560284 |
| The random variable x is : | 1.26624395402602 |
| The random variable x is : | 0.484500855462369 |
| The random variable x is : | 0.756814795545073 |
| The random variable x is : | 0.22699039563238 |
| The random variable x is : | 0.319890380719997 |
| The random variable x is : | 0.332222884010019 |
| The random variable x is : | 0.406082725072322 |
| The random variable x is : | 1.04338897410324 |
| The random variable x is : | 0.669557792118685 |
| The random variable x is : | 0.749595120037036 |
| The random variable x is : | 0.597193449961139 |
| The random variable x is : | 0.353723195654355 |
| The random variable x is : | 0.40772378746853 |
| The random variable x is : | 0.470995953696095 |
| The random variable x is : | 1.09693081446983 |
| The random variable x is : | 0.829604888517201 |
| The random variable x is : | 0.998466703174676 |
| The random variable x is : | 0.465571122780199 |
| The random variable x is : | 0.44195677906078 |
| The random variable x is : | 0.258563298056112 |
| The random variable x is : | 0.757908501472985 |
| The random variable x is : | 0.674213998881859 |
| The random variable x is : | 0.408504028121489 |
| The random variable x is : | 0.441716172424879 |
| The random variable x is : | 0.595179002636302 |
| The random variable x is : | 1.15607966708059 |
| The random variable x is : | 0.621566485782685 |
| The random variable x is : | 0.891292931734277 |
| The random variable x is : | 1.05210412294673 |
| The random variable x is : | 0.541419583912115 |
| The random variable x is : | 1.21731325890033 |
| The random variable x is : | 0.765656181379907 |
| The random variable x is : | 0.722849059510706 |
| The random variable x is : | 0.823761527810494 |
| The random variable x is : | 0.402582178471735 |
| The random variable x is : | 0.714242767927426 |
| The random variable x is : | 0.609236792446272 |
| The random variable x is : | 1.01425944714281 |
| The random variable x is : | 2.02491685830573 |
| The random variable x is : | 0.33091043249063 |
| The random variable x is : | 0.640153616119506 |
| The random variable x is : | 0.516272158447656 |
| The random variable x is : | 0.37960094869288 |
| The random variable x is : | 0.784182200728775 |
| The random variable x is : | 0.333408537004639 |
| The random variable x is : | 0.640177010798603 |
| The random variable x is : | 0.542141188164831 |
| The random variable x is : | 0.314985095989517 |
| The random variable x is : | 0.449485224714714 |
| The random variable x is : | 0.350185837649038 |
| The random variable x is : | 0.525735154376279 |
| The random variable x is : | 0.600568648537496 |
| The random variable x is : | 0.59150338255383 |
| The random variable x is : | 1.44207324488797 |
| The random variable x is : | 0.893290770346028 |
| The random variable x is : | 0.809448026923509 |
| The random variable x is : | 0.366666573772979 |
| The random variable x is : | 0.853201121996509 |
| The random variable x is : | 0.386130507182591 |
| The random variable x is : | 1.05170073676128 |
| The random variable x is : | 0.726728846634145 |
| The random variable x is : | 0.482006869407608 |
| The random variable x is : | 1.04856425147564 |
| The random variable x is : | 0.301789700141171 |
| The random variable x is : | 0.506494501990483 |
| The random variable x is : | 0.844686025590158 |
| The random variable x is : | 0.947018334016965 |
| The random variable x is : | 0.39848298944198 |
| The random variable x is : | 0.545894906790573 |
| The random variable x is : | 0.52011442355448 |
| The random variable x is : | 0.825261418346339 |
| The random variable x is : | 1.03236778880068 |
| The random variable x is : | 0.580404134398857 |
| The random variable x is : | 1.12722497357207 |
| The random variable x is : | 0.530133833651286 |
| The random variable x is : | 1.12675008418689 |
| The random variable x is : | 0.396107643994282 |
| The random variable x is : | 0.569939199469959 |
| The random variable x is : | 0.505242239613395 |
| The random variable x is : | 0.518967710050421 |
| The random variable x is : | 0.350538373292254 |
| The random variable x is : | 0.347923049983063 |
| The random variable x is : | 0.967814036941103 |
| The random variable x is : | 1.46148003864084 |
| The random variable x is : | 0.600534025147428 |
| The random variable x is : | 0.667716128373184 |
| The random variable x is : | 0.380863216119835 |
| The random variable x is : | 0.975399770644999 |
| The random variable x is : | 0.659891567282359 |
| The random variable x is : | 0.874401031842075 |
| The random variable x is : | 0.647774954856551 |
| The random variable x is : | 0.761932697425547 |
| The random variable x is : | 1.32451163546802 |
| The random variable x is : | 0.424895644205552 |
| The random variable x is : | 0.910416617451799 |
| The random variable x is : | 0.984050008432621 |
| The random variable x is : | 0.713248232807926 |
| The random variable x is : | 1.21448279157088 |
| The random variable x is : | 0.369000623745941 |
| The random variable x is : | 0.434542328588757 |
| The random variable x is : | 1.04026273490294 |
| The random variable x is : | 0.367478243419461 |
| The random variable x is : | 0.3070009023478 |
| The random variable x is : | 0.725308605544731 |
| The random variable x is : | 0.887693945769975 |
| The random variable x is : | 0.811367598953936 |
| The random variable x is : | 0.443735603987006 |
| The random variable x is : | 0.844336458229972 |
| The random variable x is : | 0.266788667704368 |
| The random variable x is : | 0.179194728915516 |
| The random variable x is : | 0.71459791227111 |
| The random variable x is : | 0.655194799151813 |
| The random variable x is : | 0.663849353747245 |
| The random variable x is : | 1.38059389589527 |
| The random variable x is : | 0.602735239065967 |
| The random variable x is : | 1.38332472311464 |
| The random variable x is : | 0.918357112222192 |
| The random variable x is : | 0.704381914672605 |
| The random variable x is : | 0.747379439051512 |
| The random variable x is : | 0.58900587692415 |
| The random variable x is : | 0.700609101691876 |
| The random variable x is : | 0.649058153285802 |
| The random variable x is : | 0.971516820472494 |
| The random variable x is : | 0.884991305813986 |
| The random variable x is : | 0.370356463254329 |
| The random variable x is : | 0.398953461473519 |
| The random variable x is : | 0.580512447575748 |
| The random variable x is : | 0.578282552959826 |
| The random variable x is : | 0.580220758078418 |
| The random variable x is : | 0.478365854119406 |
| The random variable x is : | 0.253198211665574 |
| The random variable x is : | 0.583427809504915 |
| The random variable x is : | 0.709741445243384 |
| The random variable x is : | 0.24736712788039 |
| The random variable x is : | 1.4017642925814 |
| The random variable x is : | 0.53785211123919 |
| The random variable x is : | 0.75770189657001 |
| The random variable x is : | 0.947235780839955 |
| The random variable x is : | 0.407893688592703 |
| The random variable x is : | 0.650485396705061 |
| The random variable x is : | 0.391325954715889 |
| The random variable x is : | 0.208415724931378 |
| The random variable x is : | 1.10064879844965 |
| The random variable x is : | 0.974893759514276 |
| The random variable x is : | 0.394196938868984 |
| The random variable x is : | 0.242864780683738 |
| The random variable x is : | 0.446048918180173 |
| The random variable x is : | 1.06049375604404 |
| The random variable x is : | 0.329253859822009 |
| The random variable x is : | 0.478481494145668 |
| The random variable x is : | 0.477189895894096 |
| The random variable x is : | 1.01541044874236 |
| The random variable x is : | 0.926898159326186 |
| The random variable x is : | 1.16912828240053 |
| The random variable x is : | 1.1854563076955 |
| The random variable x is : | 0.409549353801725 |
| The random variable x is : | 1.04443142691525 |
| The random variable x is : | 0.708631630687171 |
| The random variable x is : | 0.423320081777471 |
| The random variable x is : | 0.41517996892195 |
| The random variable x is : | 0.56529100456544 |
| The random variable x is : | 0.453976883006915 |
| The random variable x is : | 0.81652774320789 |
| The random variable x is : | 1.25227597902857 |
| The random variable x is : | 0.295251103786435 |
| The random variable x is : | 1.20546031271866 |
| The random variable x is : | 1.10292910000129 |
| The random variable x is : | 0.577853524965477 |
| The random variable x is : | 1.63383680474394 |
| The random variable x is : | 0.596474775575045 |
| The random variable x is : | 0.430863723145779 |
| The random variable x is : | 0.651256748932433 |
| The random variable x is : | 0.4046821884151 |
| The random variable x is : | 0.390472983565588 |
| The random variable x is : | 0.743009539382367 |
| The random variable x is : | 1.3421044691524 |
| The random variable x is : | 0.484837703859987 |
| The random variable x is : | 0.387905263205462 |
| The random variable x is : | 0.753668325572315 |
| The random variable x is : | 0.27245565555393 |
| The random variable x is : | 0.437503526517231 |
| The random variable x is : | 0.853175805935125 |
| The random variable x is : | 0.83022863243403 |
| The random variable x is : | 0.532311540233379 |
| The random variable x is : | 0.89885494442868 |
| The random variable x is : | 0.753470017545868 |
| The random variable x is : | 0.557023643669037 |
| The random variable x is : | 0.511441510848656 |
| The random variable x is : | 0.389094900049872 |
| The random variable x is : | 1.10489277418611 |
| The random variable x is : | 0.849700360174468 |
| The random variable x is : | 0.798725414484683 |
| The random variable x is : | 0.742895427089946 |
| The random variable x is : | 0.856199453062033 |
| The random variable x is : | 1.36418481099908 |
| The random variable x is : | 0.517781364489248 |
| The random variable x is : | 1.12082879850755 |
| The random variable x is : | 1.26206098126855 |
| The random variable x is : | 0.738471698705055 |
| The random variable x is : | 0.756727607694595 |
| The random variable x is : | 0.433556153008874 |
| The random variable x is : | 1.04110702031704 |
| The random variable x is : | 0.412441996349612 |
| The random variable x is : | 0.59591175372146 |
| The random variable x is : | 0.490540724783478 |
| The random variable x is : | 1.28811982648479 |
| The random variable x is : | 0.97505560327995 |
| The random variable x is : | 0.507514104161755 |
| The random variable x is : | 0.600935673624765 |
| The random variable x is : | 0.473016657656824 |
| The random variable x is : | 0.689632925680837 |
| The random variable x is : | 1.40191262911623 |
| The random variable x is : | 0.729388571376745 |
| The random variable x is : | 0.868560481330908 |
| The random variable x is : | 0.622564535650303 |
| The random variable x is : | 0.426092534813383 |
| The random variable x is : | 0.951557759752946 |
| The random variable x is : | 0.824186497195779 |
| The random variable x is : | 0.615937113442969 |
| The random variable x is : | 1.89733390116984 |
| The random variable x is : | 1.10541699275879 |
| The random variable x is : | 0.955344219316589 |
| The random variable x is : | 0.923468579003181 |
| The random variable x is : | 0.831670907289884 |
| The random variable x is : | 0.946675667410635 |
| The random variable x is : | 0.32396898283036 |
| The random variable x is : | 0.127389392011288 |
| The random variable x is : | 0.448883435655609 |
| The random variable x is : | 0.454942567364778 |
| The random variable x is : | 0.890115202436567 |
| The random variable x is : | 0.570310853214068 |
| The random variable x is : | 0.603944408317104 |
| The random variable x is : | 1.112662967122 |
| The random variable x is : | 0.70569715199948 |
| The random variable x is : | 0.677656084094507 |
| The random variable x is : | 1.27020570626664 |
| The random variable x is : | 0.445494496810177 |
| The random variable x is : | 1.0169487054899 |
| The random variable x is : | 0.670124360772082 |
| The random variable x is : | 0.573509925542687 |
| The random variable x is : | 0.430399257925991 |
| The random variable x is : | 0.918085596257325 |
| The random variable x is : | 1.63222310225114 |
| The random variable x is : | 1.01166988735199 |
| The random variable x is : | 0.73086933785519 |
| The random variable x is : | 1.16186753941279 |
| The random variable x is : | 0.40805424599786 |
| The random variable x is : | 0.982719868797053 |
| The random variable x is : | 0.776634584073752 |
| The random variable x is : | 0.39461772762541 |
| The random variable x is : | 0.507670828336677 |
| The random variable x is : | 0.89747097050461 |
| The random variable x is : | 0.358016811446762 |
| The random variable x is : | 0.496059250493588 |
| The random variable x is : | 0.841613137389174 |
| The random variable x is : | 0.504402282725662 |
| The random variable x is : | 0.782399668220125 |
| The random variable x is : | 1.2484064083097 |
| The random variable x is : | 1.11493981206834 |
| The random variable x is : | 0.612883080683259 |
| The random variable x is : | 0.665933530174012 |
| The random variable x is : | 0.666647387865544 |
| The random variable x is : | 0.688834214143454 |
| The random variable x is : | 0.594326275475967 |
| The random variable x is : | 0.477194775997435 |
| The random variable x is : | 0.241994346827653 |
| The random variable x is : | 0.697561132566422 |
| The random variable x is : | 0.903043354900608 |
| The random variable x is : | 0.722726630877572 |
| The random variable x is : | 0.585368819382575 |
| The random variable x is : | 0.54402177565188 |
| The random variable x is : | 1.39664063674264 |
| The random variable x is : | 0.689048305695187 |
| The random variable x is : | 0.767826621145173 |
| The random variable x is : | 0.450493114556004 |
| The random variable x is : | 0.663735392268166 |
| The random variable x is : | 1.2044124482145 |
| The random variable x is : | 0.738436856795262 |
| The random variable x is : | 0.521784292260434 |
| The random variable x is : | 0.597922222101791 |
| The random variable x is : | 1.59482020221425 |
| The random variable x is : | 0.410600351715587 |
| The random variable x is : | 0.428898337782897 |
| The random variable x is : | 0.214724336548312 |
| The random variable x is : | 0.70876829542774 |
| The random variable x is : | 0.642573277880993 |
| The random variable x is : | 0.642571936107058 |
| The random variable x is : | 0.538322821298716 |
| The random variable x is : | 0.366904057721756 |
| The random variable x is : | 0.891200776529943 |
| The random variable x is : | 0.71370687490891 |
| The random variable x is : | 0.468770240612995 |
| The random variable x is : | 0.507249585332469 |
| The random variable x is : | 0.25454565124504 |
| The random variable x is : | 0.93011737349259 |
| The random variable x is : | 0.246950801312019 |
| The random variable x is : | 0.772394894250338 |
| The random variable x is : | 0.396503815719212 |
| The random variable x is : | 1.46600194212877 |
| The random variable x is : | 1.31940598352785 |
| The random variable x is : | 0.557226395471142 |
| The random variable x is : | 0.852905911627208 |
| The random variable x is : | 0.78065635825546 |
| The random variable x is : | 0.79178382628403 |
| The random variable x is : | 0.432448562618767 |
| The random variable x is : | 1.13503130684368 |
| The random variable x is : | 0.739730161097258 |
| The random variable x is : | 0.430464244001847 |
| The random variable x is : | 0.400480035078133 |
| The random variable x is : | 0.725971422968123 |
| The random variable x is : | 0.574877643262007 |
| The random variable x is : | 0.838970490694074 |
| The random variable x is : | 0.509647433140777 |
| The random variable x is : | 1.05152317088896 |
| The random variable x is : | 0.812075858879569 |
| The random variable x is : | 0.575538057881418 |
| The random variable x is : | 0.975571049980222 |
| The random variable x is : | 0.916488250262691 |
| The random variable x is : | 0.518515697061824 |
| The random variable x is : | 0.779416824566938 |
| The random variable x is : | 0.58383306723881 |
| The random variable x is : | 0.516292222754464 |
| The random variable x is : | 0.970573726706711 |
| The random variable x is : | 0.376253779088427 |
| The random variable x is : | 1.22689952932963 |
| The random variable x is : | 0.433558412006888 |
| The random variable x is : | 0.793788695695349 |
| The random variable x is : | 0.289438474833393 |
| The random variable x is : | 0.432878087371327 |
| The random variable x is : | 0.667121533007586 |
| The random variable x is : | 1.19666496372205 |
| The random variable x is : | 0.774603584249227 |
| The random variable x is : | 0.915284530551456 |
| The random variable x is : | 0.435840006464252 |
| The random variable x is : | 0.237610720050742 |
| The random variable x is : | 0.495925201651336 |
| The random variable x is : | 2.23669640689092 |
| The random variable x is : | 0.459249938322388 |
| The random variable x is : | 1.63439852985018 |
| The random variable x is : | 0.304754081210771 |
| The random variable x is : | 0.531700520672003 |
| The random variable x is : | 1.00532353198971 |
| The random variable x is : | 0.55399179094604 |
| The random variable x is : | 0.55299595746504 |
| The random variable x is : | 0.346221286905329 |
| The random variable x is : | 0.540847186675089 |
| The random variable x is : | 0.643135134451535 |
| The random variable x is : | 0.471300413505383 |
| The random variable x is : | 0.849513447645366 |
| The random variable x is : | 0.592239447435989 |
| The random variable x is : | 0.752765732690239 |
| The random variable x is : | 0.546167300930795 |
| The random variable x is : | 0.747838783436199 |
| The random variable x is : | 0.604543601503098 |
| The random variable x is : | 0.546509914217535 |
| The random variable x is : | 0.89352155415799 |
| The random variable x is : | 1.35847968782659 |
| The random variable x is : | 0.644239461847823 |
| The random variable x is : | 1.13043504379996 |
| The random variable x is : | 0.606452570148768 |
| The random variable x is : | 0.766368651742078 |
| The random variable x is : | 0.269340331407425 |
| The random variable x is : | 0.641166048954527 |
| The random variable x is : | 0.335318200357756 |
| The random variable x is : | 0.629648772533284 |
| The random variable x is : | 0.760226429896993 |
| The random variable x is : | 1.07445426849676 |
| The random variable x is : | 0.919893285731252 |
| The random variable x is : | 0.824743280825624 |
| The random variable x is : | 1.21088632755014 |
| The random variable x is : | 0.846773932413912 |
| The random variable x is : | 0.424729443674703 |
| The random variable x is : | 1.0539457445892 |
| The random variable x is : | 0.533749514001064 |
| The random variable x is : | 0.291983520866685 |
| The random variable x is : | 0.344179784912287 |
| The random variable x is : | 0.737676939455913 |
| The random variable x is : | 2.01714541574743 |
| The random variable x is : | 0.197463724481855 |
| The random variable x is : | 0.978652139170623 |
| The random variable x is : | 0.710130247799343 |
| The random variable x is : | 0.453544001720337 |
| The random variable x is : | 0.453262723894841 |
| The random variable x is : | 0.539301819499314 |
| The random variable x is : | 1.45914054436859 |
| The random variable x is : | 0.908272452606825 |
| The random variable x is : | 0.274451995375492 |
| The random variable x is : | 0.608290252406412 |
| The random variable x is : | 0.903717320848147 |
| The random variable x is : | 1.59918965724173 |
| The random variable x is : | 0.40331721378123 |
| The random variable x is : | 0.655988951159017 |
| The random variable x is : | 1.23513014418943 |
| The random variable x is : | 0.361999093194964 |
| The random variable x is : | 1.02072895813034 |
| The random variable x is : | 0.668631003428465 |
| The random variable x is : | 0.474622214574617 |
| The random variable x is : | 0.472323823421145 |
| The random variable x is : | 0.891279681749286 |
| The random variable x is : | 0.567043779494931 |
| The random variable x is : | 0.423057045359183 |
| The random variable x is : | 0.72449712743573 |
| The random variable x is : | 0.667363561862559 |
| The random variable x is : | 0.68958870772714 |
| The random variable x is : | 1.26481206490844 |
| The random variable x is : | 0.882939467435295 |
| The random variable x is : | 0.250895897808162 |
| The random variable x is : | 0.920079506902085 |
| The random variable x is : | 1.39256228819967 |
| The random variable x is : | 0.605023867500916 |
| The random variable x is : | 0.605668517478834 |
| The random variable x is : | 0.90037704944821 |
| The random variable x is : | 0.846536337280982 |
| The random variable x is : | 0.464113022956339 |
| The random variable x is : | 0.516517348562313 |
| The random variable x is : | 0.680645376778522 |
| The random variable x is : | 0.369466595688857 |
| The random variable x is : | 0.749560680464285 |
| The random variable x is : | 0.827312346770102 |
| The random variable x is : | 1.16684899349395 |
| The random variable x is : | 0.980331037868769 |
| The random variable x is : | 1.05452951457632 |
| The random variable x is : | 0.986462276796688 |
| The random variable x is : | 0.876907497493824 |
| The random variable x is : | 0.263846240706703 |
| The random variable x is : | 0.796993546975188 |
| The random variable x is : | 0.647540775994353 |
| The random variable x is : | 0.558903995967972 |
| The random variable x is : | 1.54002224854933 |
| The random variable x is : | 0.603499166671212 |
| The random variable x is : | 0.229106262363822 |
| The random variable x is : | 0.631151297120591 |
| The random variable x is : | 0.740201274139926 |
| The random variable x is : | 1.53206734079403 |
| The random variable x is : | 1.39492349321733 |
| The random variable x is : | 0.439524036841703 |
| The random variable x is : | 0.642602324923835 |
| The random variable x is : | 1.07979764278926 |
| The random variable x is : | 0.637134231666215 |
| The random variable x is : | 0.461262603891953 |
| The random variable x is : | 0.530624308865116 |
| The random variable x is : | 0.630526415064084 |
| The random variable x is : | 0.513203902561638 |
| The random variable x is : | 1.2068174483348 |
| The random variable x is : | 0.4931766515206 |
| The random variable x is : | 0.499740574187088 |
| The random variable x is : | 0.768626073375894 |
| The random variable x is : | 0.549481210753689 |
| The random variable x is : | 0.43968360679966 |
| The random variable x is : | 0.677823249336675 |
| The random variable x is : | 1.16930169439085 |
| The random variable x is : | 0.745524260945673 |
| The random variable x is : | 0.986830368694212 |
| The random variable x is : | 1.19829817766892 |
| The random variable x is : | 0.297413343011229 |
| The random variable x is : | 0.674395589480926 |
| The random variable x is : | 0.750887330646984 |
| The random variable x is : | 0.912129257826962 |
| The random variable x is : | 0.391095574372717 |
| The random variable x is : | 0.854750449879782 |
| The random variable x is : | 0.66939569310256 |
| The random variable x is : | 0.550711592085185 |
| The random variable x is : | 0.396149633401951 |
| The random variable x is : | 0.692506086934685 |
| The random variable x is : | 0.838383825520826 |
| The random variable x is : | 0.603243219381169 |
| The random variable x is : | 1.62512671846714 |
| The random variable x is : | 1.6497274400422 |
| The random variable x is : | 0.921208128827196 |
| The random variable x is : | 0.484515063620955 |
| The random variable x is : | 1.22165493230344 |
| The random variable x is : | 1.60572169797895 |
| The random variable x is : | 1.41577336084524 |
| The random variable x is : | 0.674560059009222 |
| The random variable x is : | 0.410071757745658 |
| The random variable x is : | 0.500103113691298 |
| The random variable x is : | 1.28102271698063 |
| The random variable x is : | 0.869560512936819 |
| The random variable x is : | 0.877068917944892 |
| The random variable x is : | 0.844137586992851 |
| The random variable x is : | 0.58936726084089 |
| The random variable x is : | 0.279620985910126 |
| The random variable x is : | 1.0624921203273 |
| The random variable x is : | 0.138940291458077 |
| The random variable x is : | 0.551597501009711 |
| The random variable x is : | 0.569918308038433 |
| The random variable x is : | 0.278045404532313 |
| The random variable x is : | 1.20378778386983 |
| The random variable x is : | 0.384705622940764 |
| The random variable x is : | 0.536902564763446 |
| The random variable x is : | 0.457751095088748 |
| The random variable x is : | 0.397936209483323 |
| The random variable x is : | 0.564229981707323 |
| The random variable x is : | 1.1123354643023 |
| The random variable x is : | 0.20494062636536 |
| The random variable x is : | 1.11362835374662 |
| The random variable x is : | 0.474071088156318 |
| The random variable x is : | 1.94656792908129 |
| The random variable x is : | 0.697596926589985 |
| The random variable x is : | 0.930402125543597 |
| The random variable x is : | 0.251654615681485 |
| The random variable x is : | 1.1837589882957 |
| The random variable x is : | 0.46792798546989 |
| The random variable x is : | 0.788287748865317 |
| The random variable x is : | 0.960719729905863 |
| The random variable x is : | 1.14698463299959 |
| The random variable x is : | 1.04082038908233 |
| The random variable x is : | 0.638849215590999 |
| The random variable x is : | 1.06328199503422 |
| The random variable x is : | 0.430567188417607 |
| The random variable x is : | 0.813060375835171 |
| The random variable x is : | 0.835651380851167 |
| The random variable x is : | 0.380209885776191 |
| The random variable x is : | 0.503053456195832 |
| The random variable x is : | 1.00805139988354 |
| The random variable x is : | 0.743863102313104 |
| The random variable x is : | 1.65070476510638 |
| The random variable x is : | 0.72009220174343 |
| The random variable x is : | 1.74984220629797 |
| The random variable x is : | 0.98184063344045 |
| The random variable x is : | 0.951372990255193 |
| The random variable x is : | 0.697636260740147 |
| The random variable x is : | 1.15503876948097 |
| The random variable x is : | 1.07273923622083 |
| The random variable x is : | 1.15383628064964 |
| The random variable x is : | 1.00781929083203 |
| The random variable x is : | 0.621501121295558 |
| The random variable x is : | 0.882424316066388 |
| The random variable x is : | 0.156176763046204 |
| The random variable x is : | 0.869504371508215 |
| The random variable x is : | 1.07347457493526 |
| The random variable x is : | 0.523887944079698 |
| The random variable x is : | 1.07200633447901 |
| The random variable x is : | 0.595865400672404 |
| The random variable x is : | 0.87340729929525 |
| The random variable x is : | 0.675209455748647 |
| The random variable x is : | 0.451778772873432 |
| The random variable x is : | 0.432598038601808 |
| The random variable x is : | 1.19123870359183 |
| The random variable x is : | 1.90012307135944 |
| The random variable x is : | 1.18372067775124 |
| The random variable x is : | 0.3251769585316 |
| The random variable x is : | 0.647505011784471 |
| The random variable x is : | 0.806772013955208 |
| The random variable x is : | 1.02443038008278 |
| The random variable x is : | 0.926042217813119 |
| The random variable x is : | 0.285781039589814 |
| The random variable x is : | 0.308362312401317 |
| The random variable x is : | 0.795260673661279 |
| The random variable x is : | 0.496598232377249 |
| The random variable x is : | 0.612310841104878 |
| The random variable x is : | 0.89777426873329 |
| The random variable x is : | 0.495113087562517 |
| The random variable x is : | 0.683866411052702 |
| The random variable x is : | 0.657198158257934 |
| The random variable x is : | 0.812415662539752 |
| The random variable x is : | 0.318057798330682 |
| The random variable x is : | 0.837734470208201 |
| The random variable x is : | 0.369300879908127 |
| The random variable x is : | 0.581125526126952 |
| The random variable x is : | 0.833450879400479 |
| The random variable x is : | 0.695029380729889 |
| The random variable x is : | 0.257259598472766 |
| The random variable x is : | 0.840510106445651 |
| The random variable x is : | 0.599823209565249 |
| The random variable x is : | 1.0062434219886 |
| The random variable x is : | 1.13406936650315 |
| The random variable x is : | 0.772033314582019 |
| The random variable x is : | 0.673926577629837 |
| The random variable x is : | 0.464494874972988 |
| The random variable x is : | 1.14370607756934 |
| The random variable x is : | 0.611314651738786 |
| The random variable x is : | 0.327195494916882 |
| The random variable x is : | 1.09219905759722 |
| The random variable x is : | 0.777540079277694 |
| The random variable x is : | 0.469434490566816 |
| The random variable x is : | 0.505802963545442 |
| The random variable x is : | 2.05008226555684 |
| The random variable x is : | 0.826098574426523 |
| The random variable x is : | 0.450071477563756 |
| The random variable x is : | 0.463067571891351 |
| The random variable x is : | 0.701181501715627 |
| The random variable x is : | 0.585990228934424 |
| The random variable x is : | 0.488231506620212 |
| The random variable x is : | 0.283950293181573 |
| The random variable x is : | 0.92521875365567 |
| The random variable x is : | 0.887846502291495 |
| The random variable x is : | 1.73459321280834 |
| The random variable x is : | 0.46014509716002 |
| The random variable x is : | 0.938098525880215 |
| The random variable x is : | 0.263807493081047 |
| The random variable x is : | 0.91465501719945 |
| The random variable x is : | 0.460710383216359 |
| The random variable x is : | 0.441921171289457 |
| The random variable x is : | 0.252948887413859 |
| The random variable x is : | 0.409329516022641 |
| The random variable x is : | 0.472394409923906 |
| The random variable x is : | 0.492843935202922 |
| The random variable x is : | 1.17972035505844 |
| The random variable x is : | 1.28188646220328 |
| The random variable x is : | 1.03270711085637 |
| The random variable x is : | 0.489955497860434 |
| The random variable x is : | 0.382483813826506 |
| The random variable x is : | 0.566048695324403 |
| The random variable x is : | 0.388338719962474 |
| The random variable x is : | 0.83322408147233 |
| The random variable x is : | 0.415204618515845 |
| The random variable x is : | 0.980539376461934 |
| The random variable x is : | 0.356674878751964 |
| The random variable x is : | 0.597176776902571 |
| The random variable x is : | 0.486731374711476 |
| The random variable x is : | 0.401655083394873 |
| The random variable x is : | 0.38629353466049 |
| The random variable x is : | 0.848559149496282 |
| The random variable x is : | 0.586160829351982 |
| The random variable x is : | 1.48931890735741 |
| The random variable x is : | 0.480336574890734 |
| The random variable x is : | 0.431923220952854 |
| The random variable x is : | 0.567489212300832 |
| The random variable x is : | 0.510384184616897 |
| The random variable x is : | 1.40341546155756 |
| The random variable x is : | 0.311212503516937 |
| The random variable x is : | 0.737703078128646 |
| The random variable x is : | 0.952606210575138 |
| The random variable x is : | 1.33329940335181 |
| The random variable x is : | 0.471603191166059 |
| The random variable x is : | 1.24590556586361 |
| The random variable x is : | 0.292360882231254 |
| The random variable x is : | 0.534943579840278 |
| The random variable x is : | 0.801400711368028 |
| The random variable x is : | 0.533158102060661 |
| The random variable x is : | 0.873218347036733 |
| The random variable x is : | 0.522483351859489 |
| The random variable x is : | 0.669365870234681 |
| The random variable x is : | 0.135680734964983 |
| The random variable x is : | 1.15317178378625 |
| The random variable x is : | 0.27907814573689 |
| The random variable x is : | 0.630165597673132 |
| The random variable x is : | 0.663814483254585 |
| The random variable x is : | 0.999116553645804 |
| The random variable x is : | 0.828529333509134 |
| The random variable x is : | 0.817229271166972 |
| The random variable x is : | 0.401715424679926 |
| The random variable x is : | 0.416146355138119 |
| The random variable x is : | 0.580822268291285 |
| The random variable x is : | 1.12908283951161 |
| The random variable x is : | 0.970691248269501 |
| The random variable x is : | 1.16098355546957 |
| The random variable x is : | 1.61427526166181 |
| The random variable x is : | 0.894280583991712 |
| The random variable x is : | 0.36010736177282 |
| The random variable x is : | 0.473654134934967 |
| The random variable x is : | 1.28678673053392 |
| The random variable x is : | 0.171043110207618 |
| The random variable x is : | 0.763547116035967 |
| The random variable x is : | 0.882692658432324 |
| The random variable x is : | 1.12219064115669 |
| The random variable x is : | 0.814238445144807 |
| The random variable x is : | 0.19364133418334 |
| The random variable x is : | 0.589056881326601 |
| The random variable x is : | 1.24444357606105 |
| The random variable x is : | 0.617818697247329 |
| The random variable x is : | 0.392988651760153 |
| The random variable x is : | 0.696279304477511 |
| The random variable x is : | 0.313456447493596 |
| The random variable x is : | 0.681534131486671 |
| The random variable x is : | 0.441162489649809 |
| The random variable x is : | 0.64784514885015 |
| The random variable x is : | 0.950535955960689 |
| The random variable x is : | 0.439733693362227 |
| The random variable x is : | 0.890661077757282 |
| The random variable x is : | 0.653742973880886 |
| The random variable x is : | 0.977284380966376 |
| The random variable x is : | 0.703943200596194 |
| The random variable x is : | 0.866681182844691 |
| The random variable x is : | 1.40014108313457 |
| The random variable x is : | 0.665389654584506 |
| The random variable x is : | 0.492754483347636 |
| The random variable x is : | 1.11974506897141 |
| The random variable x is : | 0.318891308584606 |
| The random variable x is : | 0.806328259405906 |
| The random variable x is : | 0.227336120913147 |
| The random variable x is : | 0.615022856792758 |
| The random variable x is : | 0.936871608106614 |
| The random variable x is : | 0.604537917905053 |
| The random variable x is : | 0.548427560119451 |
| The random variable x is : | 1.00840978067593 |
| The random variable x is : | 0.511203537183541 |
| The random variable x is : | 0.166397296364195 |
| The random variable x is : | 1.00402255188962 |
| The random variable x is : | 0.422773342681736 |
| The random variable x is : | 0.304583259745772 |
| The random variable x is : | 0.611439614518522 |
| The random variable x is : | 0.717500287647479 |
| The random variable x is : | 0.832178697681082 |
| The random variable x is : | 0.612504472634957 |
| The random variable x is : | 0.576554876951374 |
| The random variable x is : | 0.479437460305589 |
| The random variable x is : | 0.786569233152539 |
| The random variable x is : | 1.15670074469211 |
| The random variable x is : | 0.61143617443379 |
| The random variable x is : | 0.512318331187334 |
| The random variable x is : | 1.24924219123766 |
| The random variable x is : | 0.306197039152118 |
| The random variable x is : | 0.596993873101903 |
| The random variable x is : | 0.540913874648132 |
| The random variable x is : | 1.61215835760053 |
| The random variable x is : | 0.635746383885312 |
| The random variable x is : | 0.684120349442731 |
| The random variable x is : | 0.174286433963742 |
| The random variable x is : | 0.697660748085168 |
| The random variable x is : | 0.99933731279665 |
| The random variable x is : | 0.44650930921364 |
| The random variable x is : | 0.369745641149744 |
| The random variable x is : | 1.00111101779372 |
| The random variable x is : | 0.721318990983103 |
| The random variable x is : | 0.349646791512558 |
| The random variable x is : | 0.342806525026782 |
| The random variable x is : | 0.928946297807408 |
| The random variable x is : | 0.512350032625447 |
| The random variable x is : | 1.02945455097095 |
| The random variable x is : | 1.11754086091342 |
| The random variable x is : | 0.310128182612413 |
| The random variable x is : | 0.412592050845244 |
| The random variable x is : | 0.166831983964026 |
| The random variable x is : | 0.335180876799323 |
| The random variable x is : | 0.971230004466738 |
| The random variable x is : | 0.304188410411338 |
| The random variable x is : | 0.240376292486551 |
| The random variable x is : | 0.346990264567395 |
| The random variable x is : | 0.503886749363072 |
| The random variable x is : | 0.471881302569682 |
| The random variable x is : | 0.86513866463649 |
| The random variable x is : | 0.385801778643898 |
| The random variable x is : | 0.66273573220677 |
| The random variable x is : | 0.409761134233464 |
| The random variable x is : | 0.144366943262824 |
| The random variable x is : | 0.911143375544107 |
| The random variable x is : | 0.63305983099389 |
| The random variable x is : | 0.178668149624049 |
| The random variable x is : | 0.660725588421261 |
| The random variable x is : | 0.852766376923182 |
| The random variable x is : | 1.43543736357481 |
| The random variable x is : | 0.833354820583274 |
| The random variable x is : | 0.669638733025932 |
| The random variable x is : | 0.274665329921217 |
| The random variable x is : | 0.782836864402784 |
| The random variable x is : | 0.988048661567743 |
| The random variable x is : | 0.883938058718282 |
| The random variable x is : | 0.932974607437479 |
| The random variable x is : | 0.624355247615757 |
| The random variable x is : | 0.344171054057957 |
| The random variable x is : | 0.325520642908159 |
| The random variable x is : | 0.198801880405096 |
| The random variable x is : | 1.4541019274801 |
| The random variable x is : | 0.668213786375945 |
| The random variable x is : | 0.596464885313448 |
| The random variable x is : | 0.72026194698488 |
| The random variable x is : | 0.903816188524015 |
| The random variable x is : | 0.973681620784263 |
| The random variable x is : | 0.470723481996806 |
| The random variable x is : | 0.793128208000875 |
| The random variable x is : | 0.725679184045897 |
| The random variable x is : | 0.370535873779644 |
| The random variable x is : | 1.08350781735322 |
| The random variable x is : | 0.693402676500792 |
| The random variable x is : | 0.579872040840264 |
| The random variable x is : | 0.252502615834189 |
| The random variable x is : | 0.936594261866768 |
| The random variable x is : | 0.761870050567022 |
| The random variable x is : | 0.509427768119431 |
| The random variable x is : | 1.01987788596427 |
| The random variable x is : | 0.844328786400676 |
| The random variable x is : | 0.466917220718099 |
| The random variable x is : | 0.356155013394275 |
| The random variable x is : | 0.628855563470516 |
| The random variable x is : | 0.519035154164971 |
| The random variable x is : | 0.324052985008334 |
| The random variable x is : | 0.734911457663843 |
| The random variable x is : | 0.350579737344671 |
| The random variable x is : | 0.804780855946115 |
| The random variable x is : | 0.516148282992487 |
| The random variable x is : | 0.888163764971467 |
| The random variable x is : | 0.62465793036183 |
| The random variable x is : | 0.6288186983086 |
| The random variable x is : | 0.873000234832261 |
| The random variable x is : | 0.731664288770233 |
| The random variable x is : | 0.328369538419388 |
| The random variable x is : | 1.0251352270765 |
| The random variable x is : | 0.454104024716546 |
| The random variable x is : | 1.22869488708528 |
| The random variable x is : | 1.37893296462703 |
| The random variable x is : | 0.193182377417307 |
| The random variable x is : | 0.602796147561844 |
| The random variable x is : | 0.745319373645881 |
| The random variable x is : | 0.744275550914718 |
| The random variable x is : | 0.307376474695916 |
| The random variable x is : | 0.961328735531079 |
| The random variable x is : | 0.374062317109611 |
| The random variable x is : | 0.649900364409946 |
| The random variable x is : | 1.63850799572663 |
| The random variable x is : | 0.640186948937864 |
| The random variable x is : | 1.09289662929469 |
| The random variable x is : | 0.557211459498979 |
| The random variable x is : | 0.940273110834139 |
| The random variable x is : | 0.732494948562872 |
| The random variable x is : | 0.694027482591983 |
| The random variable x is : | 0.550446500842045 |
| The random variable x is : | 0.157402931609205 |
| The random variable x is : | 0.257755996182217 |
| The random variable x is : | 0.365993848855604 |
| The random variable x is : | 0.786325028706717 |
| The random variable x is : | 0.845813812197701 |
| The random variable x is : | 0.592485269011372 |
| The random variable x is : | 0.353759589167156 |
| The random variable x is : | 0.678997322850309 |
| The random variable x is : | 0.485438230404359 |
| The random variable x is : | 0.501971726290801 |
| The random variable x is : | 1.1425015344895 |
| The random variable x is : | 0.640367425594491 |
| The random variable x is : | 0.801723682021608 |
| The random variable x is : | 0.529236190977125 |
| The random variable x is : | 0.473376033330494 |
| The random variable x is : | 0.406040578250619 |
| The random variable x is : | 0.519358218263431 |
| The random variable x is : | 0.653282784924607 |
| The random variable x is : | 0.513746915782795 |
| The random variable x is : | 0.651870160211062 |
| The random variable x is : | 0.434852335767575 |
| The random variable x is : | 0.900535566564342 |
| The random variable x is : | 0.765835674581409 |
| The random variable x is : | 0.898309299282041 |
| The random variable x is : | 0.801992555090491 |
| The random variable x is : | 0.494809445176042 |
| The random variable x is : | 0.762594407124302 |
| The random variable x is : | 0.23657838218516 |
| The random variable x is : | 0.259630823088997 |
| The random variable x is : | 1.50133498183423 |
| The random variable x is : | 0.828027036038728 |
| The random variable x is : | 0.555206515829189 |
| The random variable x is : | 0.228062081038152 |
| The random variable x is : | 0.311391066562165 |
| The random variable x is : | 0.62173586966581 |
| The random variable x is : | 0.113396040437212 |
| The random variable x is : | 1.08516015887124 |
| The random variable x is : | 0.980741806484749 |
| The random variable x is : | 0.383600519876934 |
| The random variable x is : | 1.45269096790131 |
| The random variable x is : | 0.53187975596805 |
| The random variable x is : | 0.268629350811104 |
| The random variable x is : | 1.30310466766143 |
| The random variable x is : | 1.03948983316509 |
| The random variable x is : | 0.327361925377031 |
| The random variable x is : | 0.536378142039141 |
| The random variable x is : | 0.535610384594139 |
| The random variable x is : | 0.821733067061188 |
| The random variable x is : | 0.74460629659032 |
| The random variable x is : | 0.616786626196002 |
| The random variable x is : | 0.857648696937433 |
| The random variable x is : | 0.580522501553997 |
| The random variable x is : | 0.607290713649071 |
| The random variable x is : | 1.22326531307112 |
| The random variable x is : | 0.529740660721198 |
| The random variable x is : | 1.270656448427 |
| The random variable x is : | 0.92499828865781 |
| The random variable x is : | 0.497527327008809 |
| The random variable x is : | 0.678088650171291 |
| The random variable x is : | 0.489163208902483 |
| The random variable x is : | 0.898876565262496 |
| The random variable x is : | 0.393910383324261 |
| The random variable x is : | 0.492609286297616 |
| The random variable x is : | 0.823152582788549 |
| The random variable x is : | 0.383448891127603 |
| The random variable x is : | 0.483442059023817 |
| The random variable x is : | 1.19581064100334 |
| The random variable x is : | 0.28223143888511 |
| The random variable x is : | 0.782379179849612 |
| The random variable x is : | 0.801054657284994 |
| The random variable x is : | 0.496058003762209 |
| The random variable x is : | 0.521653483350589 |
| The random variable x is : | 0.522930828976328 |
| The random variable x is : | 0.636770895524222 |
| The random variable x is : | 0.68131807018726 |
| The random variable x is : | 0.381524658931524 |
| The random variable x is : | 0.722366917142955 |
| The random variable x is : | 0.366899644465329 |
| The random variable x is : | 0.468256261764261 |
| The random variable x is : | 1.20122365091402 |
| The random variable x is : | 0.610070738419558 |
| The random variable x is : | 0.569801519376624 |
| The random variable x is : | 0.478312348491863 |
| The random variable x is : | 0.778127950885642 |
| The random variable x is : | 0.85585621781227 |
| The random variable x is : | 0.626117728273142 |
| The random variable x is : | 0.239377977740291 |
| The random variable x is : | 1.02212520244499 |
| The random variable x is : | 0.894663281563589 |
| The random variable x is : | 0.612417524021706 |
| The random variable x is : | 0.623701313897971 |
| The random variable x is : | 0.780854711931295 |
| The random variable x is : | 0.564254955760172 |
| The random variable x is : | 0.592070451422351 |
| The random variable x is : | 1.14687375038468 |
| The random variable x is : | 0.226511702391558 |
| The random variable x is : | 1.19850165383937 |
| The random variable x is : | 0.689721494742024 |
| The random variable x is : | 0.926683725813408 |
| The random variable x is : | 0.707779368068776 |
| The random variable x is : | 1.2026159915441 |
| The random variable x is : | 0.806811215410542 |
| The random variable x is : | 0.675390835825262 |
| The random variable x is : | 0.713959800158426 |
| The random variable x is : | 0.675213621111696 |
| The random variable x is : | 0.262662821940684 |
| The random variable x is : | 0.915522517602495 |
| The random variable x is : | 1.01710777253494 |
| The random variable x is : | 0.944735328801321 |
| The random variable x is : | 0.847366756143104 |
| The random variable x is : | 0.67431602735155 |
| The random variable x is : | 0.459415584796823 |
| The random variable x is : | 0.637461252888194 |
| The random variable x is : | 0.642724602319663 |
| The random variable x is : | 0.689871132504151 |
| The random variable x is : | 0.620389420892173 |
| The random variable x is : | 0.525863493223027 |
| The random variable x is : | 0.567936369199056 |
| The random variable x is : | 1.53212491959909 |
| The random variable x is : | 0.874772309316863 |
| The random variable x is : | 0.74151465778733 |
| The random variable x is : | 0.835707576030937 |
| The random variable x is : | 0.701264280997943 |
| The random variable x is : | 0.82537305517174 |
| The random variable x is : | 0.321311203331954 |
| The random variable x is : | 0.270525103215743 |
| The random variable x is : | 0.219610245767461 |
| The random variable x is : | 1.16908895161931 |
| The random variable x is : | 0.311152841809555 |
| The random variable x is : | 0.554618690722776 |
| The random variable x is : | 0.386146011748846 |
| The random variable x is : | 0.993815519292587 |
| The random variable x is : | 0.887340188417471 |
| The random variable x is : | 0.952205676991968 |
| The random variable x is : | 0.258768265531073 |
| The random variable x is : | 0.498217813008921 |
| The random variable x is : | 0.539687530654978 |
| The random variable x is : | 0.809322430203408 |
| The random variable x is : | 0.554149420624314 |
| The random variable x is : | 0.512223977546234 |
| The random variable x is : | 0.546914672548722 |
| The random variable x is : | 0.78081552939514 |
| The random variable x is : | 0.97059187962068 |
| The random variable x is : | 0.899796237273188 |
| The random variable x is : | 1.05771535885252 |
| The random variable x is : | 0.439568054882467 |
| The random variable x is : | 0.390022449946586 |
| The random variable x is : | 0.275073171752762 |
| The random variable x is : | 0.393244032780316 |
| The random variable x is : | 0.690319657524028 |
| The random variable x is : | 0.257843538197491 |
| The random variable x is : | 0.435403170617897 |
| The random variable x is : | 0.340360666253107 |
| The random variable x is : | 0.547270619090707 |
| The random variable x is : | 0.431167166381278 |
| The random variable x is : | 1.24442893058089 |
| The random variable x is : | 0.429131399160464 |
| The random variable x is : | 0.6581104285076 |
| The random variable x is : | 0.443755042847335 |
| The random variable x is : | 1.07913045523741 |
| The random variable x is : | 0.691703440238135 |
| The random variable x is : | 0.606345082282315 |
| The random variable x is : | 0.479217136511902 |
| The random variable x is : | 1.03325892445621 |
| The random variable x is : | 1.07284455736075 |
| The random variable x is : | 0.230758743165619 |
| The random variable x is : | 0.66344653399934 |
| The random variable x is : | 0.459933761209681 |
| The random variable x is : | 1.21072516228973 |
| The random variable x is : | 0.912644212204448 |
| The random variable x is : | 1.08026529410304 |
| The random variable x is : | 0.682188442977995 |
| The random variable x is : | 0.51083227617593 |
| The random variable x is : | 0.495592852749587 |
| The random variable x is : | 0.769746502210661 |
| The random variable x is : | 0.634745435917268 |
| The random variable x is : | 0.418431994349334 |
| The random variable x is : | 0.519125695317759 |
| The random variable x is : | 0.531113927858906 |
| The random variable x is : | 0.181754165897752 |
| The random variable x is : | 0.718424473859811 |
| The random variable x is : | 0.720636825695015 |
| The random variable x is : | 0.552295292914906 |
| The random variable x is : | 0.841588647098584 |
| The random variable x is : | 0.610981653316175 |
| The random variable x is : | 0.693022646739294 |
| The random variable x is : | 0.264944880909919 |
| The random variable x is : | 0.464924919689467 |
| The random variable x is : | 0.153875573730901 |
| The random variable x is : | 0.394432440223648 |
| The random variable x is : | 0.361392032875344 |
| The random variable x is : | 0.690579837244642 |
| The random variable x is : | 0.880486305002679 |
| The random variable x is : | 0.970317433081175 |
| The random variable x is : | 0.713196950428435 |
| The random variable x is : | 1.24572593700006 |
| The random variable x is : | 0.653566149820926 |
| The random variable x is : | 0.585414393139657 |
| The random variable x is : | 0.861967066894685 |
| The random variable x is : | 0.894860554330548 |
| The random variable x is : | 0.389861584076739 |
| The random variable x is : | 0.910592096449511 |
| The random variable x is : | 0.347510667844029 |
| The random variable x is : | 0.291784068157347 |
| The random variable x is : | 1.58471355355919 |
| The random variable x is : | 1.37130906066466 |
| The random variable x is : | 0.555891751121247 |
| The random variable x is : | 0.978857468876458 |
| The random variable x is : | 0.907169254170599 |
| The random variable x is : | 1.56862330822279 |
| The random variable x is : | 0.494642160576756 |
| The random variable x is : | 0.680019290333822 |
| The random variable x is : | 0.848304980379452 |
| The random variable x is : | 0.494468954732421 |
| The random variable x is : | 0.63563767327993 |
| The random variable x is : | 0.559015403806601 |
| The random variable x is : | 0.701090354843442 |
| The random variable x is : | 0.374682648367971 |
| The random variable x is : | 0.698163772832261 |
| The random variable x is : | 0.87089510652408 |
| The random variable x is : | 0.63332907934771 |
| The random variable x is : | 1.20816922193743 |
| The random variable x is : | 0.762676834851481 |
| The random variable x is : | 1.02873660316714 |
| The random variable x is : | 0.893580203860382 |
| The random variable x is : | 0.487484833374593 |
| The random variable x is : | 1.22424639382456 |
| The random variable x is : | 0.487398488711164 |
| The random variable x is : | 0.313846553795204 |
| The random variable x is : | 1.08174525290925 |
| The random variable x is : | 0.337889050401101 |
| The random variable x is : | 0.586248212484256 |
| The random variable x is : | 1.0849833843329 |
| The random variable x is : | 0.762861994879761 |
| The random variable x is : | 1.03362185199101 |
| The random variable x is : | 0.45498245500707 |
| The random variable x is : | 0.772498012997668 |
| The random variable x is : | 0.853955969808955 |
| The random variable x is : | 1.13880839067136 |
| The random variable x is : | 1.24421181059667 |
| The random variable x is : | 0.465543671338507 |
| The random variable x is : | 0.749011641094708 |
| The random variable x is : | 0.508898189541267 |
| The random variable x is : | 0.832208914820813 |
| The random variable x is : | 0.512371223238318 |
| The random variable x is : | 0.712833544686578 |
| The random variable x is : | 0.924272983852592 |
| The random variable x is : | 0.648556144070115 |
| The random variable x is : | 1.04325302179805 |
| The random variable x is : | 0.984105095687152 |
| The random variable x is : | 0.66058619608931 |
| The random variable x is : | 0.353030355812151 |
| The random variable x is : | 0.671130026470297 |
| The random variable x is : | 1.383465567579 |
| The random variable x is : | 0.530793138516833 |
| The random variable x is : | 0.396463297196459 |
| The random variable x is : | 0.731373190217447 |
| The random variable x is : | 0.597713174760173 |
| The random variable x is : | 1.01737710398188 |
| The random variable x is : | 0.423628782545217 |
| The random variable x is : | 1.09549348246987 |
| The random variable x is : | 1.20425401528678 |
| The random variable x is : | 0.672952147386316 |
| The random variable x is : | 0.474098305962396 |
| The random variable x is : | 0.442919472598446 |
| The random variable x is : | 0.64735811553448 |
| The random variable x is : | 0.823575963456113 |
| The random variable x is : | 1.07193231383642 |
| The random variable x is : | 0.386187914982607 |
| The random variable x is : | 0.495159731215861 |
| The random variable x is : | 1.29142751728734 |
| The random variable x is : | 0.652598008735132 |
| The random variable x is : | 0.740465283146404 |
| The random variable x is : | 0.998325979887897 |
| The random variable x is : | 0.80639915975455 |
| The random variable x is : | 0.321093898443481 |
| The random variable x is : | 0.939402593338177 |
| The random variable x is : | 0.326236262776605 |
| The random variable x is : | 0.705136760853747 |
| The random variable x is : | 0.2590396564599 |
| The random variable x is : | 0.185253085685571 |
| The random variable x is : | 0.977451490310212 |
| The random variable x is : | 0.370387910252236 |
| The random variable x is : | 0.941726170160686 |
| The random variable x is : | 1.12051635419373 |
| The random variable x is : | 0.501287767454116 |
| The random variable x is : | 1.22536036533565 |
| The random variable x is : | 0.8357384815049 |
| The random variable x is : | 0.609813110893506 |
| The random variable x is : | 0.913028630663722 |
| The random variable x is : | 0.666829715890954 |
| The random variable x is : | 0.923852002408558 |
| The random variable x is : | 1.32562811468784 |
| The random variable x is : | 0.523209509747046 |
| The random variable x is : | 0.785797827290648 |
| The random variable x is : | 0.622464242866346 |
| The random variable x is : | 0.612091064850703 |
| The random variable x is : | 0.377734308459931 |
| The random variable x is : | 0.87498393318108 |
| The random variable x is : | 1.21490724267176 |
| The random variable x is : | 1.04460780786447 |
| The random variable x is : | 0.6863343303603 |
| The random variable x is : | 0.629258775007224 |
| The random variable x is : | 0.415026227363608 |
| The random variable x is : | 0.48991717768837 |
| The random variable x is : | 0.415135468922821 |
| The random variable x is : | 0.510818598225085 |
| The random variable x is : | 0.683840443703316 |
| The random variable x is : | 0.824247009527813 |
| The random variable x is : | 0.832398648124073 |
| The random variable x is : | 0.793532515777657 |
| The random variable x is : | 0.407205910374498 |
| The random variable x is : | 0.734246576887879 |
| The random variable x is : | 0.245326617349229 |
| The random variable x is : | 0.297107599333365 |
| The random variable x is : | 0.455785802114837 |
| The random variable x is : | 0.954609903732744 |
| The random variable x is : | 0.284868302135913 |
| The random variable x is : | 0.270685407594963 |
| The random variable x is : | 0.856408748679823 |
| The random variable x is : | 0.409284786159454 |
| The random variable x is : | 0.333563188797702 |
| The random variable x is : | 0.397111013854058 |
| The random variable x is : | 0.250698883915452 |
| The random variable x is : | 0.373557765050286 |
| The random variable x is : | 0.349827359881862 |
| The random variable x is : | 0.387527788824836 |
| The random variable x is : | 1.00371352626274 |
| The random variable x is : | 1.19242524737848 |
| The random variable x is : | 1.02678338827707 |
| The random variable x is : | 0.766342679291693 |
| The random variable x is : | 1.10109706393246 |
| The random variable x is : | 0.685582213687599 |
| The random variable x is : | 1.1381542262698 |
| The random variable x is : | 0.517219739836143 |
| The random variable x is : | 0.788625041268618 |
| The random variable x is : | 0.467510963132709 |
| The random variable x is : | 1.02870737105972 |
| The random variable x is : | 0.496692247303333 |
| The random variable x is : | 0.835452275961597 |
| The random variable x is : | 1.54327967627801 |
| The random variable x is : | 0.464235712893784 |
| The random variable x is : | 0.296599614942266 |
| The random variable x is : | 0.73558220289144 |
| The random variable x is : | 0.860044203996101 |
| The random variable x is : | 0.717841808323601 |
| The random variable x is : | 2.31019656050255 |
| The random variable x is : | 0.557504034638367 |
| The random variable x is : | 1.56599358808205 |
| The random variable x is : | 0.584198489405028 |
| The random variable x is : | 0.735241295168265 |
| The random variable x is : | 0.289552552974126 |
| The random variable x is : | 0.6774099415696 |
| The random variable x is : | 0.728829289906054 |
| The random variable x is : | 1.06274120109221 |
| The random variable x is : | 0.562512186668675 |
| The random variable x is : | 1.10541335432098 |
| The random variable x is : | 0.599937547282157 |
| The random variable x is : | 0.3477271429544 |
| The random variable x is : | 1.2638738231382 |
| The random variable x is : | 0.487851673871406 |
| The random variable x is : | 0.539493601576278 |
| The random variable x is : | 0.643891008481474 |
| The random variable x is : | 0.265602907464961 |
| The random variable x is : | 0.845825370213695 |
| The random variable x is : | 0.710639645515585 |
| The random variable x is : | 0.967403766975881 |
| The random variable x is : | 0.460848388405972 |
| The random variable x is : | 0.280755735248427 |
| The random variable x is : | 0.695454809432366 |
| The random variable x is : | 0.853151408387765 |
| The random variable x is : | 0.790073778282761 |
| The random variable x is : | 0.726322804318934 |
| The random variable x is : | 0.513040921555044 |
| The random variable x is : | 0.735649368369834 |
| The random variable x is : | 0.600399845314374 |
| The random variable x is : | 0.542718504284938 |
| The random variable x is : | 0.336663101078815 |
| The random variable x is : | 0.599560707843922 |
| The random variable x is : | 2.12032881368395 |
| The random variable x is : | 0.288849665470356 |
| The random variable x is : | 0.621494535061064 |
| The random variable x is : | 0.394701468928568 |
| The random variable x is : | 1.35647687407438 |
| The random variable x is : | 0.356915405517786 |
| The random variable x is : | 0.224363391687603 |
| The random variable x is : | 0.832573943994889 |
| The random variable x is : | 0.230160906242665 |
| The random variable x is : | 0.864018249021286 |
| The random variable x is : | 1.05507345700145 |
| The random variable x is : | 0.464346746319526 |
| The random variable x is : | 0.360483909827513 |
| The random variable x is : | 1.02046766324417 |
| The random variable x is : | 0.843096663071595 |
| The random variable x is : | 0.344248780801372 |
| The random variable x is : | 1.06333408501181 |
| The random variable x is : | 1.60056286455072 |
| The random variable x is : | 1.59871780983253 |
| The random variable x is : | 0.300332282360648 |
| The random variable x is : | 0.519365435834333 |
| The random variable x is : | 0.771230728045334 |
| The random variable x is : | 0.694736017961186 |
| The random variable x is : | 0.981458510149281 |
| The random variable x is : | 0.457709653650917 |
| The random variable x is : | 0.648910994797679 |
| The random variable x is : | 1.13933145393657 |
| The random variable x is : | 0.435748429135005 |
| The random variable x is : | 0.664527311535417 |
| The random variable x is : | 0.750479773269154 |
| The random variable x is : | 1.11952712473653 |
| The random variable x is : | 0.609704706275665 |
| The random variable x is : | 1.47134990140055 |
| The random variable x is : | 0.474309599254137 |
| The random variable x is : | 1.0909237752997 |
| The random variable x is : | 0.350142205707352 |
| The random variable x is : | 1.20760550599122 |
| The random variable x is : | 0.647582154319375 |
| The random variable x is : | 1.0719758324348 |
| The random variable x is : | 0.27069649403251 |
| The random variable x is : | 0.363408006012818 |
| The random variable x is : | 0.779781604523539 |
| The random variable x is : | 0.563591547506664 |
| The random variable x is : | 0.478540648106872 |
| The random variable x is : | 0.727867700227878 |
| The random variable x is : | 0.851927108920714 |
| The random variable x is : | 0.551513714660262 |
| The random variable x is : | 0.938039436719891 |
| The random variable x is : | 0.689293878622689 |
| The random variable x is : | 0.908326124913344 |
| The random variable x is : | 0.523773793969598 |
| The random variable x is : | 0.567537664194129 |
| The random variable x is : | 2.07783336632849 |
| The random variable x is : | 1.22990461229863 |
| The random variable x is : | 0.186726762855642 |
| The random variable x is : | 0.999571830247336 |
| The random variable x is : | 0.481729812381413 |
| The random variable x is : | 0.597048692331655 |
| The random variable x is : | 0.788619656630538 |
| The random variable x is : | 0.980533376027954 |
| The random variable x is : | 0.24467743720182 |
| The random variable x is : | 0.555519416786858 |
| The random variable x is : | 1.29824147360454 |
| The random variable x is : | 1.06533985217642 |
| The random variable x is : | 0.287496036543284 |
| The random variable x is : | 0.399736493641914 |
| The random variable x is : | 0.421298723949261 |
| The random variable x is : | 0.976490916012957 |
| The random variable x is : | 0.612813128357803 |
| The random variable x is : | 0.854130082208692 |
| The random variable x is : | 0.391177418683043 |
| The random variable x is : | 0.478872514348275 |
| The random variable x is : | 0.540568538856016 |
| The random variable x is : | 1.0035439658419 |
| The random variable x is : | 1.66270594235427 |
| The random variable x is : | 0.820904313388657 |
| The random variable x is : | 0.184311902412358 |
| The random variable x is : | 0.817260290475428 |
| The random variable x is : | 0.27038601552846 |
| The random variable x is : | 0.414072276656527 |
| The random variable x is : | 0.252955341308299 |
| The random variable x is : | 0.962993000465811 |
| The random variable x is : | 0.615346512421842 |
| The random variable x is : | 0.80680372292965 |
| The random variable x is : | 0.39316065678263 |
| The random variable x is : | 0.676525612646391 |
| The random variable x is : | 1.08566889969317 |
| The random variable x is : | 1.16798233335784 |
| The random variable x is : | 0.980807903057869 |
| The random variable x is : | 0.574760627086955 |
| The random variable x is : | 1.00401810730635 |
| The random variable x is : | 0.594709804644122 |
| The random variable x is : | 0.58725776502726 |
| The random variable x is : | 0.784349634187118 |
| The random variable x is : | 0.64066105918036 |
| The random variable x is : | 0.608898523746418 |
| The random variable x is : | 1.83680830300256 |
| The random variable x is : | 0.43334209117725 |
| The random variable x is : | 0.626513410132121 |
| The random variable x is : | 0.820270543804933 |
| The random variable x is : | 0.48418872445371 |
| The random variable x is : | 0.89954102386862 |
| The random variable x is : | 1.31127983270202 |
| The random variable x is : | 1.2810564074485 |
| The random variable x is : | 0.799798165824409 |
| The random variable x is : | 0.871741102412739 |
| The random variable x is : | 1.0031197894397 |
| The random variable x is : | 0.614173773390522 |
| The random variable x is : | 0.486512443348535 |
| The random variable x is : | 0.453065492077952 |
| The random variable x is : | 0.953844133114748 |
| The random variable x is : | 0.430577914742403 |
| The random variable x is : | 0.394432165313147 |
| The random variable x is : | 0.711809880860946 |
| The random variable x is : | 0.677719511778017 |
| The random variable x is : | 0.476325018754445 |
| The random variable x is : | 0.633960576313649 |
| The random variable x is : | 0.391899848083533 |
| The random variable x is : | 0.702910256769611 |
| The random variable x is : | 1.0310375374943 |
| The random variable x is : | 0.430131687468511 |
| The random variable x is : | 0.856056772692176 |
| The random variable x is : | 0.912315589407373 |
| The random variable x is : | 1.01740428864878 |
| The random variable x is : | 0.213532916813274 |
| The random variable x is : | 1.12550107948053 |
| The random variable x is : | 0.403960236596337 |
| The random variable x is : | 1.63544108895851 |
| The random variable x is : | 0.587349404044619 |
| The random variable x is : | 0.524485317354774 |
| The random variable x is : | 0.24876041177616 |
| The random variable x is : | 1.08018098235973 |
| The random variable x is : | 0.497881478719867 |
| The random variable x is : | 0.875241978825712 |
| The random variable x is : | 1.2940879060613 |
| The random variable x is : | 1.07509128562237 |
| The random variable x is : | 0.583452019119995 |
| The random variable x is : | 1.07505436691082 |
| The random variable x is : | 0.858937206781234 |
| The random variable x is : | 1.25834817791161 |
| The random variable x is : | 0.436367704053366 |
| The random variable x is : | 0.858774581156375 |
| The random variable x is : | 1.07770307453543 |
| The random variable x is : | 1.11149756747392 |
| The random variable x is : | 1.2092105962755 |
| The random variable x is : | 0.548905638113278 |
| The random variable x is : | 0.984304999042902 |
| The random variable x is : | 1.20762160358292 |
| The random variable x is : | 1.40957341687389 |
| The random variable x is : | 0.557351994868188 |
| The random variable x is : | 0.469773263333571 |
| The random variable x is : | 0.394105537459288 |
| The random variable x is : | 0.702270000959226 |
| The random variable x is : | 0.628604517950667 |
| The random variable x is : | 0.322704954192461 |
| The random variable x is : | 0.849047200122594 |
| The random variable x is : | 0.746517072274369 |
| The random variable x is : | 0.625209248295641 |
| The random variable x is : | 1.02164017652672 |
| The random variable x is : | 0.558197646269115 |
| The random variable x is : | 0.655432083708225 |
| The random variable x is : | 1.05014419387248 |
| The random variable x is : | 0.556524735497676 |
| The random variable x is : | 0.267968417549459 |
| The random variable x is : | 0.676260285535131 |
| The random variable x is : | 0.397469154702545 |
| The random variable x is : | 0.213147345522026 |
| The random variable x is : | 0.562147014957575 |
| The random variable x is : | 0.761187470883488 |
| The random variable x is : | 0.718849576054525 |
| The random variable x is : | 0.771809401395201 |
| The random variable x is : | 0.357444393757982 |
| The random variable x is : | 0.967976136478276 |
| The random variable x is : | 0.512227130955999 |
| The random variable x is : | 0.501293724756249 |
| The random variable x is : | 1.08034000447714 |
| The random variable x is : | 0.669688686814756 |
| The random variable x is : | 0.341770663047961 |
| The random variable x is : | 1.01394948971751 |
| The random variable x is : | 0.390743329192338 |
| The random variable x is : | 0.46351771813253 |
| The random variable x is : | 0.878156157171089 |
| The random variable x is : | 1.1202308348743 |
| The random variable x is : | 0.756730844553253 |
| The random variable x is : | 0.735561735422905 |
| The random variable x is : | 0.90283635574771 |
| The random variable x is : | 0.656391570461256 |
| The random variable x is : | 0.429845127893241 |
| The random variable x is : | 0.629350673505318 |
| The random variable x is : | 0.774740883421936 |
| The random variable x is : | 0.355029320743621 |
| The random variable x is : | 0.445275819148021 |
| The random variable x is : | 0.208794573182938 |
| The random variable x is : | 0.844580270116794 |
| The random variable x is : | 0.671905424833776 |
| The random variable x is : | 1.05229131852189 |
| The random variable x is : | 0.339099293144767 |
| The random variable x is : | 0.654907416263415 |
| The random variable x is : | 0.867776341477581 |
| The random variable x is : | 0.785630212051638 |
| The random variable x is : | 0.462809421964581 |
| The random variable x is : | 0.759756295922358 |
| The random variable x is : | 0.361634025939374 |
| The random variable x is : | 0.591520461428413 |
| The random variable x is : | 0.929586651186885 |
| The random variable x is : | 1.31768398886828 |
| The random variable x is : | 0.704969125475185 |
| The random variable x is : | 0.276332304360802 |
| The random variable x is : | 0.292072530534689 |
| The random variable x is : | 0.934795633120161 |
| The random variable x is : | 0.824273932626266 |
| The random variable x is : | 0.608673899648231 |
| The random variable x is : | 0.477358892617381 |
| The random variable x is : | 0.705560379588668 |
| The random variable x is : | 0.766053149800727 |
| The random variable x is : | 0.383251746895751 |
| The random variable x is : | 0.712583994982798 |
| The random variable x is : | 1.47806132927031 |
| The random variable x is : | 0.858543899218995 |
| The random variable x is : | 0.388355287938318 |
| The random variable x is : | 0.385560958370327 |
| The random variable x is : | 0.290616914416406 |
| The random variable x is : | 0.809801492239536 |
| The random variable x is : | 0.399111195604186 |
| The random variable x is : | 0.594118819792654 |
| The random variable x is : | 0.594498008776159 |
| The random variable x is : | 0.455913437118013 |
| The random variable x is : | 0.901350397456221 |
| The random variable x is : | 0.728898074151871 |
| The random variable x is : | 0.182173089525556 |
| The random variable x is : | 0.829910570248759 |
| The random variable x is : | 0.578097422141539 |
| The random variable x is : | 0.526789063593147 |
| The random variable x is : | 0.517020391523133 |
| The random variable x is : | 0.680738889838233 |
| The random variable x is : | 0.928208557252717 |
| The random variable x is : | 0.865383072677852 |
| The random variable x is : | 0.641626685975866 |
| The random variable x is : | 0.595465869833434 |
| The random variable x is : | 0.398460645199751 |
| The random variable x is : | 0.894614488081527 |
| The random variable x is : | 1.0806173928438 |
| The random variable x is : | 0.58825163230519 |
| The random variable x is : | 0.369687310680304 |
| The random variable x is : | 0.703387396971798 |
| The random variable x is : | 0.482807441244151 |
| The random variable x is : | 0.280644819836208 |
| The random variable x is : | 0.505181998307596 |
| The random variable x is : | 0.805272909369437 |
| The random variable x is : | 0.415861506268266 |
| The random variable x is : | 0.663171986768118 |
| The random variable x is : | 0.792564262814763 |
| The random variable x is : | 1.01274179814856 |
| The random variable x is : | 0.674875722005922 |
| The random variable x is : | 0.167704159179816 |
| The random variable x is : | 0.826000153833942 |
| The random variable x is : | 0.897750784406137 |
| The random variable x is : | 0.76800399195286 |
| The random variable x is : | 0.734159466402091 |
| The random variable x is : | 0.116444243857946 |
| The random variable x is : | 0.194328740619379 |
| The random variable x is : | 0.537029623303976 |
| The random variable x is : | 0.689378167221111 |
| The random variable x is : | 0.731592538207776 |
| The random variable x is : | 1.11784671439246 |
| The random variable x is : | 0.472461967467731 |
| The random variable x is : | 0.577662746583416 |
| The random variable x is : | 1.45256518058681 |
| The random variable x is : | 0.823566346355492 |
| The random variable x is : | 0.302374657634548 |
| The random variable x is : | 1.33005774542714 |
| The random variable x is : | 0.619862069206391 |
| The random variable x is : | 1.08591062932244 |
| The random variable x is : | 1.30048148457592 |
| The random variable x is : | 1.18261603090704 |
| The random variable x is : | 0.523263604648342 |
| The random variable x is : | 0.811218192035203 |
| The random variable x is : | 1.23840968344406 |
| The random variable x is : | 0.443214156834447 |
| The random variable x is : | 0.861570675029983 |
| The random variable x is : | 0.198807247477647 |
| The random variable x is : | 0.688079223476791 |
| The random variable x is : | 0.897568842696707 |
| The random variable x is : | 0.331979432176694 |
| The random variable x is : | 1.06795209873939 |
| The random variable x is : | 0.607363794338088 |
| The random variable x is : | 0.625644636968825 |
| The random variable x is : | 0.513567095267696 |
| The random variable x is : | 0.453169865205732 |
| The random variable x is : | 0.413890088555447 |
| The random variable x is : | 0.461449569207809 |
| The random variable x is : | 0.591895156970897 |
| The random variable x is : | 0.388632365621114 |
| The random variable x is : | 0.836796390866964 |
| The random variable x is : | 1.04679244348276 |
| The random variable x is : | 1.19979843337332 |
| The random variable x is : | 0.778196121011275 |
| The random variable x is : | 1.76228276513934 |
| The random variable x is : | 0.935593004184593 |
| The random variable x is : | 1.46617446639935 |
| The random variable x is : | 1.15688376696498 |
| The random variable x is : | 0.763985573507434 |
| The random variable x is : | 1.19701586802895 |
| The random variable x is : | 0.586305962371857 |
| The random variable x is : | 0.816315009007248 |
| The random variable x is : | 0.267890702090569 |
| The random variable x is : | 0.656510951209091 |
| The random variable x is : | 0.734220556510139 |
| The random variable x is : | 0.704503493450261 |
| The random variable x is : | 0.736310641436579 |
| The random variable x is : | 0.358701208591237 |
| The random variable x is : | 0.842775200838983 |
| The random variable x is : | 1.28135780238232 |
| The random variable x is : | 0.540379763790847 |
| The random variable x is : | 0.502242470870081 |
| The random variable x is : | 0.454874116513973 |
| The random variable x is : | 0.592837173626462 |
| The random variable x is : | 0.590628676854782 |
| The random variable x is : | 0.925792619847073 |
| The random variable x is : | 0.331574125615697 |
| The random variable x is : | 0.605709278535254 |
| The random variable x is : | 0.957926061653918 |
| The random variable x is : | 0.556915603647307 |
| The random variable x is : | 0.416731679048289 |
| The random variable x is : | 1.00832917482545 |
| The random variable x is : | 0.766555163447412 |
| The random variable x is : | 0.793559416258414 |
| The random variable x is : | 0.598105222946341 |
| The random variable x is : | 0.593294540789599 |
| The random variable x is : | 0.812770511948377 |
| The random variable x is : | 0.529731638222377 |
| The random variable x is : | 0.974319987751481 |
| The random variable x is : | 0.340052431808713 |
| The random variable x is : | 0.98989103899197 |
| The random variable x is : | 0.655894172418542 |
| The random variable x is : | 0.494395449534207 |
| The random variable x is : | 0.406145880872889 |
| The random variable x is : | 0.557228973087902 |
| The random variable x is : | 0.502568710362548 |
| The random variable x is : | 0.504127197369265 |
| The random variable x is : | 1.20914508311451 |
| The random variable x is : | 0.385394924745203 |
| The random variable x is : | 1.32338261722816 |
| The random variable x is : | 0.541036811906043 |
| The random variable x is : | 0.410274251783455 |
| The random variable x is : | 0.575019200898698 |
| The random variable x is : | 0.974614697128627 |
| The random variable x is : | 0.518619344439812 |
| The random variable x is : | 0.449624209470666 |
| The random variable x is : | 1.31938600105818 |
| The random variable x is : | 1.14311632795398 |
| The random variable x is : | 0.461839298308109 |
| The random variable x is : | 0.423175923524317 |
| The random variable x is : | 0.514845717958543 |
| The random variable x is : | 0.925253170789747 |
| The random variable x is : | 1.25398339504019 |
| The random variable x is : | 0.75771487445097 |
| The random variable x is : | 1.45794331610983 |
| The random variable x is : | 0.779632865306123 |
| The random variable x is : | 1.71103452659375 |
| The random variable x is : | 0.390991809814913 |
| The random variable x is : | 0.85337472859322 |
| The random variable x is : | 0.93373797947122 |
| The random variable x is : | 0.54608933839043 |
| The random variable x is : | 0.749284867098435 |
| The random variable x is : | 0.891353611686378 |
| The random variable x is : | 0.518483070427251 |
| The random variable x is : | 0.623588975100026 |
| The random variable x is : | 0.833104072800472 |
| The random variable x is : | 0.564938970792014 |
| The random variable x is : | 1.40951499515352 |
| The random variable x is : | 0.648955940433344 |
| The random variable x is : | 1.05075281118748 |
| The random variable x is : | 0.6288798948345 |
| The random variable x is : | 0.50118314306279 |
| The random variable x is : | 0.448388123758727 |
| The random variable x is : | 1.24864938380766 |
| The random variable x is : | 1.06785253529902 |
| The random variable x is : | 0.743788875719154 |
| The random variable x is : | 1.46551292290911 |
| The random variable x is : | 0.92555234016386 |
| The random variable x is : | 0.651353440006237 |
| The random variable x is : | 1.4753807879376 |
| The random variable x is : | 0.956497248087558 |
| The random variable x is : | 0.911112115121716 |
| The random variable x is : | 0.910065844384804 |
| The random variable x is : | 0.370009840923781 |
| The random variable x is : | 0.986161210979343 |
| The random variable x is : | 1.08623755293672 |
| The random variable x is : | 0.600356789215426 |
| The random variable x is : | 0.818061375685402 |
| The random variable x is : | 0.35689591295235 |
| The random variable x is : | 0.814677469643025 |
| The random variable x is : | 1.07720486811136 |
| The random variable x is : | 0.843927238262283 |
| The random variable x is : | 0.474940040902973 |
| The random variable x is : | 0.573876035051428 |
| The random variable x is : | 0.554497619040274 |
| The random variable x is : | 0.511007676735139 |
| The random variable x is : | 1.16910437552469 |
| The random variable x is : | 0.849682981662044 |
| The random variable x is : | 1.03092696287769 |
| The random variable x is : | 0.942544539811199 |
| The random variable x is : | 0.741490505940407 |
| The random variable x is : | 0.723878960855679 |
| The random variable x is : | 0.503438006186942 |
| The random variable x is : | 0.701299914463128 |
| The random variable x is : | 0.818923757084836 |
| The random variable x is : | 0.587539580663556 |
| The random variable x is : | 0.61770222546607 |
| The random variable x is : | 0.12027877110968 |
| The random variable x is : | 0.603092921398158 |
| The random variable x is : | 1.32180593346818 |
| The random variable x is : | 0.603980898626537 |
| The random variable x is : | 0.871208366701446 |
| The random variable x is : | 1.05503142476785 |
| The random variable x is : | 1.0283183585403 |
| The random variable x is : | 0.807629232496999 |
| The random variable x is : | 0.469732375849077 |
| The random variable x is : | 0.734483015056608 |
| The random variable x is : | 1.29902689431214 |
| The random variable x is : | 0.451125545981193 |
| The random variable x is : | 0.707721588908335 |
| The random variable x is : | 0.484969655230165 |
| The random variable x is : | 0.418568852825525 |
| The random variable x is : | 0.779238954188058 |
| The random variable x is : | 0.326994874594227 |
| The random variable x is : | 0.764299338693561 |
| The random variable x is : | 0.490520681655607 |
| The random variable x is : | 0.666181179563223 |
| The random variable x is : | 0.718028849673723 |
| The random variable x is : | 0.603677638461887 |
| The random variable x is : | 0.526564306040077 |
| The random variable x is : | 0.94995880497121 |
| The random variable x is : | 0.908584906542164 |
| The random variable x is : | 0.295757321555454 |
| The random variable x is : | 0.518551811868587 |
| The random variable x is : | 0.974761009872935 |
| The random variable x is : | 1.02473810922459 |
| The random variable x is : | 0.709854249648466 |
| The random variable x is : | 0.405810630195916 |
| The random variable x is : | 1.14524818395013 |
| The random variable x is : | 0.758765717011764 |
| The random variable x is : | 0.945916132416153 |
| The random variable x is : | 0.745880884421206 |
| The random variable x is : | 0.385900005967602 |
| The random variable x is : | 0.176171679482288 |
| The random variable x is : | 0.813939638062528 |
| The random variable x is : | 0.797293894171585 |
| The random variable x is : | 1.08452946592491 |
| The random variable x is : | 0.422261667389795 |
| The random variable x is : | 0.758848681507402 |
| The random variable x is : | 1.01816520645829 |
| The random variable x is : | 0.453937648044247 |
| The random variable x is : | 0.361963245262512 |
| The random variable x is : | 0.809454506865544 |
| The random variable x is : | 0.410884609313271 |
| The random variable x is : | 0.794839362848122 |
| The random variable x is : | 0.950512974661226 |
| The random variable x is : | 0.511237131549234 |
| The random variable x is : | 0.882397400239617 |
| The random variable x is : | 0.827043123044771 |
| The random variable x is : | 0.387515189455455 |
| The random variable x is : | 1.34083999192922 |
| The random variable x is : | 0.768090769242046 |
| The random variable x is : | 0.608519986175605 |
| The random variable x is : | 0.591928781303434 |
| The random variable x is : | 0.749287584187217 |
| The random variable x is : | 0.585871741475927 |
| The random variable x is : | 0.31611971258556 |
| The random variable x is : | 0.283398482352749 |
| The random variable x is : | 0.984004498054379 |
| The random variable x is : | 0.306124938865986 |
| The random variable x is : | 0.631662531186687 |
| The random variable x is : | 0.604809409165746 |
| The random variable x is : | 1.13022729822913 |
| The random variable x is : | 0.873307971419597 |
| The random variable x is : | 1.35029700279746 |
| The random variable x is : | 1.05084704386929 |
| The random variable x is : | 0.850226713296844 |
| The random variable x is : | 0.526545194687558 |
| The random variable x is : | 0.27800928984712 |
| The random variable x is : | 0.762972131387964 |
| The random variable x is : | 0.6888247370822 |
| The random variable x is : | 0.516895457438364 |
| The random variable x is : | 0.478571151711137 |
| The random variable x is : | 0.542297395031288 |
| The random variable x is : | 0.470344469638946 |
| The random variable x is : | 1.10192753889105 |
| The random variable x is : | 0.443791409239699 |
| The random variable x is : | 0.444833672015362 |
| The random variable x is : | 0.394408221297645 |
| The random variable x is : | 0.77515597361381 |
| The random variable x is : | 0.275317694989768 |
| The random variable x is : | 0.765664886338635 |
| The random variable x is : | 0.889192114410556 |
| The random variable x is : | 0.777871813701769 |
| The random variable x is : | 0.429323528712078 |
| The random variable x is : | 1.17015580347067 |
| The random variable x is : | 1.07197918743328 |
| The random variable x is : | 1.15911798792748 |
| The random variable x is : | 1.30442757731014 |
| The random variable x is : | 0.950636944471911 |
| The random variable x is : | 0.677715948693363 |
| The random variable x is : | 1.26899810157251 |
| The random variable x is : | 0.828967843578327 |
| The random variable x is : | 0.189673696656434 |
| The random variable x is : | 1.30619471739975 |
| The random variable x is : | 0.450283282994356 |
| The random variable x is : | 0.716775402626092 |
| The random variable x is : | 0.903083430508476 |
| The random variable x is : | 0.460138848151172 |
| The random variable x is : | 0.509982610366451 |
| The random variable x is : | 1.01732232153641 |
| The random variable x is : | 0.643757036330291 |
| The random variable x is : | 0.930270911475237 |
| The random variable x is : | 0.378390902421463 |
| The random variable x is : | 0.730725264583774 |
| The random variable x is : | 0.657764787712189 |
| The random variable x is : | 0.668078034657728 |
| The random variable x is : | 0.534056658632235 |
| The random variable x is : | 1.35927289039947 |
| The random variable x is : | 0.684451601079685 |
| The random variable x is : | 0.647294671046287 |
| The random variable x is : | 1.04464581992258 |
| The random variable x is : | 0.849659662525077 |
| The random variable x is : | 0.944631771766351 |
| The random variable x is : | 0.44487633948446 |
| The random variable x is : | 0.326672237837604 |
| The random variable x is : | 0.626926689080264 |
| The random variable x is : | 0.254982869273274 |
| The random variable x is : | 1.24992572804615 |
| The random variable x is : | 0.279168990183097 |
| The random variable x is : | 0.672046558982451 |
| The random variable x is : | 0.75631249443861 |
| The random variable x is : | 0.653503378419287 |
| The random variable x is : | 0.605876537957268 |
| The random variable x is : | 0.691927429137167 |
| The random variable x is : | 0.989937725171775 |
| The random variable x is : | 0.606057190416951 |
| The random variable x is : | 0.472146624376178 |
| The random variable x is : | 0.928423948571378 |
| The random variable x is : | 0.879349329864151 |
| The random variable x is : | 0.500805666964295 |
| The random variable x is : | 0.503968253331424 |
| The random variable x is : | 0.701827629496092 |
| The random variable x is : | 0.778078495228282 |
| The random variable x is : | 0.405394674850067 |
| The random variable x is : | 0.0787331560627479 |
| The random variable x is : | 0.595248490866935 |
| The random variable x is : | 1.72964866672571 |
| The random variable x is : | 0.418153428946396 |
| The random variable x is : | 0.559520684221006 |
| The random variable x is : | 0.728933482357563 |
| The random variable x is : | 0.849970931012995 |
| The random variable x is : | 0.542714911518013 |
| The random variable x is : | 0.428307361446568 |
| The random variable x is : | 0.713964900042614 |
| The random variable x is : | 0.452074189215354 |
| The random variable x is : | 0.372885279836647 |
| The random variable x is : | 0.44142517511205 |
| The random variable x is : | 0.661420112141491 |
| The random variable x is : | 0.252125934021728 |
| The random variable x is : | 0.984881126629658 |
| The random variable x is : | 0.62868373073933 |
| The random variable x is : | 0.565198824940155 |
| The random variable x is : | 1.04195094650332 |
| The random variable x is : | 0.418999871822736 |
| The random variable x is : | 0.356135983925168 |
| The random variable x is : | 1.08019082135071 |
| The random variable x is : | 0.586641732661516 |
| The random variable x is : | 0.968629586500441 |
| The random variable x is : | 1.34222817142121 |
| The random variable x is : | 0.250168783238025 |
| The random variable x is : | 0.579579866383304 |
| The random variable x is : | 0.371843016319378 |
| The random variable x is : | 1.39898313319903 |
| The random variable x is : | 0.861437344468454 |
| The random variable x is : | 0.66422462328113 |
| The random variable x is : | 0.8210203878546 |
| The random variable x is : | 0.457464431538836 |
| The random variable x is : | 0.496144759453361 |
| The random variable x is : | 0.446653102254147 |
| The random variable x is : | 0.919972306033687 |
| The random variable x is : | 0.999628559945915 |
| The random variable x is : | 0.880192752956466 |
| The random variable x is : | 0.964028180146446 |
| The random variable x is : | 0.690982887813327 |
| The random variable x is : | 0.173628439009373 |
| The random variable x is : | 0.476633231336517 |
| The random variable x is : | 0.460481824759485 |
| The random variable x is : | 0.61377965778422 |
| The random variable x is : | 0.222556153503062 |
| The random variable x is : | 1.29867101613376 |
| The random variable x is : | 0.557464603178076 |
| The random variable x is : | 0.931996861824171 |
| The random variable x is : | 0.715874412216407 |
| The random variable x is : | 0.398840749114042 |
| The random variable x is : | 0.236339198219866 |
| The random variable x is : | 1.63356369695887 |
| The random variable x is : | 0.695945782952207 |
| The random variable x is : | 1.29878052465453 |
| The random variable x is : | 1.23523140762108 |
| The random variable x is : | 0.431894624389017 |
| The random variable x is : | 0.650113631375361 |
| The random variable x is : | 0.555542160362797 |
| The random variable x is : | 0.849549352897985 |
| The random variable x is : | 0.535058365044739 |
| The random variable x is : | 0.558753022353417 |
| The random variable x is : | 0.712674115969013 |
| The random variable x is : | 1.15967653156395 |
| The random variable x is : | 0.428039700157166 |
| The random variable x is : | 0.408461911073829 |
| The random variable x is : | 0.727154293380571 |
| The random variable x is : | 0.547748038360053 |
| The random variable x is : | 0.749748823399157 |
| The random variable x is : | 0.30094923928626 |
| The random variable x is : | 0.336494581085156 |
| The random variable x is : | 0.34108441386102 |
| The random variable x is : | 0.945368642708141 |
| The random variable x is : | 0.821257355777341 |
| The random variable x is : | 0.523160313929111 |
| The random variable x is : | 0.724816570429074 |
| The random variable x is : | 0.492542220753526 |
| The random variable x is : | 0.447710847482792 |
| The random variable x is : | 0.543291413535083 |
| The random variable x is : | 0.764743042478952 |
| The random variable x is : | 1.02775126805939 |
| The random variable x is : | 0.674853942047073 |
| The random variable x is : | 0.386221203872086 |
| The random variable x is : | 1.15293250000191 |
| The random variable x is : | 0.250731708412397 |
| The random variable x is : | 0.593239423218829 |
| The random variable x is : | 0.527515062600552 |
| The random variable x is : | 1.17485113911028 |
| The random variable x is : | 0.557763014706401 |
| The random variable x is : | 0.959243059006604 |
| The random variable x is : | 0.987694051985168 |
| The random variable x is : | 0.418995101160521 |
| The random variable x is : | 0.58594748110315 |
| The random variable x is : | 0.44344321400864 |
| The random variable x is : | 1.493055944357 |
| The random variable x is : | 0.515322352905455 |
| The random variable x is : | 0.212711593354697 |
| The random variable x is : | 0.616797474977204 |
| The random variable x is : | 0.819935537001642 |
| The random variable x is : | 0.577189187594455 |
| The random variable x is : | 1.09466511359252 |
| The random variable x is : | 0.342847121860003 |
| The random variable x is : | 0.312859754164688 |
| The random variable x is : | 0.553707656661828 |
| The random variable x is : | 1.68324152393414 |
| The random variable x is : | 0.608783301941402 |
| The random variable x is : | 0.327294569963542 |
| The random variable x is : | 0.791860734977138 |
| The random variable x is : | 0.549482549187649 |
| The random variable x is : | 0.582260727717545 |
| The random variable x is : | 0.453563536330173 |
| The random variable x is : | 0.679769071650051 |
| The random variable x is : | 0.71101496438495 |
| The random variable x is : | 0.565970592562585 |
| The random variable x is : | 0.819462595078839 |
| The random variable x is : | 0.582652170903702 |
| The random variable x is : | 0.271018653984155 |
| The random variable x is : | 0.618595659651447 |
| The random variable x is : | 0.200033353692191 |
| The random variable x is : | 0.504715100223137 |
| The random variable x is : | 0.506496415879202 |
| The random variable x is : | 1.39522162407584 |
| The random variable x is : | 0.246356669382046 |
| The random variable x is : | 0.426737870807878 |
| The random variable x is : | 1.08043334846569 |
| The random variable x is : | 0.323290861678312 |
| The random variable x is : | 0.428872327434617 |
| The random variable x is : | 0.303391154469267 |
| The random variable x is : | 0.488593155216257 |
| The random variable x is : | 0.545785538126301 |
| The random variable x is : | 0.542798030151612 |
| The random variable x is : | 0.33773184697176 |
| The random variable x is : | 0.363155518705586 |
| The random variable x is : | 0.529315779105003 |
| The random variable x is : | 0.467709465332772 |
| The random variable x is : | 0.825996397387935 |
| The random variable x is : | 0.636494342708524 |
| The random variable x is : | 0.422095764254646 |
| The random variable x is : | 0.903832758918155 |
| The random variable x is : | 0.883594551297044 |
| The random variable x is : | 0.406562314043812 |
| The random variable x is : | 0.533717552675202 |
| The random variable x is : | 0.251264521084317 |
| The random variable x is : | 0.766995100081926 |
| The random variable x is : | 0.262866809257379 |
| The random variable x is : | 0.488233406299763 |
| The random variable x is : | 1.17033861221669 |
| The random variable x is : | 0.416528993632213 |
| The random variable x is : | 0.67020079480539 |
| The random variable x is : | 0.180574079644878 |
| The random variable x is : | 1.03274164822673 |
| The random variable x is : | 1.06141724232814 |
| The random variable x is : | 1.09555102176496 |
| The random variable x is : | 0.883796693446732 |
| The random variable x is : | 0.482711797835053 |
| The random variable x is : | 0.651503940267456 |
| The random variable x is : | 0.763619260919375 |
| The random variable x is : | 0.238402384928057 |
| The random variable x is : | 1.17404477985338 |
| The random variable x is : | 0.776521394555929 |
| The random variable x is : | 0.855038557081949 |
| The random variable x is : | 0.867741928324002 |
| The random variable x is : | 0.833425143603651 |
| The random variable x is : | 0.798002291847405 |
| The random variable x is : | 0.597099153302173 |
| The random variable x is : | 0.230302730677487 |
| The random variable x is : | 1.3009270005198 |
| The random variable x is : | 1.23610557635078 |
| The random variable x is : | 0.227077440655704 |
| The random variable x is : | 1.07533483528941 |
| The random variable x is : | 0.453519560643936 |
| The random variable x is : | 0.881424077136559 |
| The random variable x is : | 0.679724021991686 |
| The random variable x is : | 0.841992878027329 |
| The random variable x is : | 0.473613805672631 |
| The random variable x is : | 0.42332200414887 |
| The random variable x is : | 0.829026359294781 |
| The random variable x is : | 0.74436451387992 |
| The random variable x is : | 0.308109711408886 |
| The random variable x is : | 1.24746646685206 |
| The random variable x is : | 0.605177271534901 |
| The random variable x is : | 0.738909055852157 |
| The random variable x is : | 0.290449702342601 |
| The random variable x is : | 0.778173995895595 |
| The random variable x is : | 0.86813908451197 |
| The random variable x is : | 1.2310616314377 |
| The random variable x is : | 0.676682087666484 |
| The random variable x is : | 1.45967093349129 |
| The random variable x is : | 0.443775906199103 |
| The random variable x is : | 0.922463483598864 |
| The random variable x is : | 0.634932083273953 |
| The random variable x is : | 1.12292251551284 |
| The random variable x is : | 0.482495599599235 |
| The random variable x is : | 0.300543473413878 |
| The random variable x is : | 1.22335165431176 |
| The random variable x is : | 0.491316362647018 |
| The random variable x is : | 0.64495834716709 |
| The random variable x is : | 0.790243489408601 |
| The random variable x is : | 0.389632823001876 |
| The random variable x is : | 1.37177176263646 |
| The random variable x is : | 0.695663360770825 |
| The random variable x is : | 0.356150966880769 |
| The random variable x is : | 0.729175598331345 |
| The random variable x is : | 0.679518010140607 |
| The random variable x is : | 0.993729756960733 |
| The random variable x is : | 0.708274354935808 |
| The random variable x is : | 0.598767838971444 |
| The random variable x is : | 1.09616081479927 |
| The random variable x is : | 0.773643344729192 |
| The random variable x is : | 0.942744604215622 |
| The random variable x is : | 0.730330210005297 |
| The random variable x is : | 0.461845450221265 |
| The random variable x is : | 0.649417686449894 |
| The random variable x is : | 0.450943075229842 |
| The random variable x is : | 0.871981847571095 |
| The random variable x is : | 0.339354178216453 |
| The random variable x is : | 0.541290377062873 |
| The random variable x is : | 0.398604875608649 |
| The random variable x is : | 0.650176726386786 |
| The random variable x is : | 0.671349885001586 |
| The random variable x is : | 0.553533565839013 |
| The random variable x is : | 0.701695571210644 |
| The random variable x is : | 1.27704210721947 |
| The random variable x is : | 0.70367400946603 |
| The random variable x is : | 0.479724534372594 |
| The random variable x is : | 0.858118191388218 |
| The random variable x is : | 0.978228678123541 |
| The random variable x is : | 1.03068598769823 |
| The random variable x is : | 0.931171876858154 |
| The random variable x is : | 1.84866313112339 |
| The random variable x is : | 0.910112560968671 |
| The random variable x is : | 1.02350398508395 |
| The random variable x is : | 1.19872553647514 |
| The random variable x is : | 0.509748387962555 |
| The random variable x is : | 0.690314770096467 |
| The random variable x is : | 1.24413622724243 |
| The random variable x is : | 0.783977793620702 |
| The random variable x is : | 0.770485472013318 |
| The random variable x is : | 1.72817095686141 |
| The random variable x is : | 0.420501917387478 |
| The random variable x is : | 2.19231892952776 |
| The random variable x is : | 0.373630608919659 |
| The random variable x is : | 0.513258803008322 |
| The random variable x is : | 0.398209954103343 |
| The random variable x is : | 0.428027106496374 |
| The random variable x is : | 0.852183972658638 |
| The random variable x is : | 0.940820839143934 |
| The random variable x is : | 0.901317106238514 |
| The random variable x is : | 0.417321171340616 |
| The random variable x is : | 0.389812194587346 |
| The random variable x is : | 1.16612623197374 |
| The random variable x is : | 0.629034211131434 |
| The random variable x is : | 0.702868051432386 |
| The random variable x is : | 0.432952878874213 |
| The random variable x is : | 0.612077892095864 |
| The random variable x is : | 0.77747933154986 |
| The random variable x is : | 1.00164817070936 |
| The random variable x is : | 1.33065209631256 |
| The random variable x is : | 0.412192024808531 |
| The random variable x is : | 0.914063700818872 |
| The random variable x is : | 0.720750474605548 |
| The random variable x is : | 0.667999286967722 |
| The random variable x is : | 1.10246834515172 |
| The random variable x is : | 0.512855507844767 |
| The random variable x is : | 0.324275894898959 |
| The random variable x is : | 0.729892110005674 |
| The random variable x is : | 0.612682091691894 |
| The random variable x is : | 0.489833077826907 |
| The random variable x is : | 0.583037448999417 |
| The random variable x is : | 0.470405708253661 |
| The random variable x is : | 0.720714536960399 |
| The random variable x is : | 0.905329801834462 |
| The random variable x is : | 0.578856398289461 |
| The random variable x is : | 0.712953237310449 |
| The random variable x is : | 1.22904416110603 |
| The random variable x is : | 1.0336625293404 |
| The random variable x is : | 0.584892743926719 |
| The random variable x is : | 0.26758702958724 |
| The random variable x is : | 0.981764939974952 |
| The random variable x is : | 1.08214075505756 |
| The random variable x is : | 0.461913677685705 |
| The random variable x is : | 0.769283479063425 |
| The random variable x is : | 0.909840707996483 |
| The random variable x is : | 0.564683036877772 |
| The random variable x is : | 1.03324904933993 |
| The random variable x is : | 0.785840777284154 |
| The random variable x is : | 0.985663320416508 |
| The random variable x is : | 1.06826581385127 |
| The random variable x is : | 0.801373644742911 |
| The random variable x is : | 0.277181485565596 |
| The random variable x is : | 0.565872041192549 |
| The random variable x is : | 1.06022915924834 |
| The random variable x is : | 0.686308609331163 |
| The random variable x is : | 1.00110877737382 |
| The random variable x is : | 0.401559052031505 |
| The random variable x is : | 0.359018436305584 |
| The random variable x is : | 0.246320417697856 |
| The random variable x is : | 0.325534717440865 |
| The random variable x is : | 0.904542327428301 |
| The random variable x is : | 0.987985011100403 |
| The random variable x is : | 0.453110780836667 |
| The random variable x is : | 0.622652689081378 |
| The random variable x is : | 0.271077362787107 |
| The random variable x is : | 0.50583003187928 |
| The random variable x is : | 0.978303937239036 |
| The random variable x is : | 0.509983001149255 |
| The random variable x is : | 0.759972722754737 |
| The random variable x is : | 0.6409022168897 |
| The random variable x is : | 0.197098748109361 |
| The random variable x is : | 1.17929507231515 |
| The random variable x is : | 0.21441914750183 |
| The random variable x is : | 1.19377979132615 |
| The random variable x is : | 0.60911695124353 |
| The random variable x is : | 0.721420035313554 |
| The random variable x is : | 1.10649872844194 |
| The random variable x is : | 0.823228570212181 |
| The random variable x is : | 0.611832659941087 |
| The random variable x is : | 1.02868514133856 |
| The random variable x is : | 0.698788859789401 |
| The random variable x is : | 0.79210162906615 |
| The random variable x is : | 1.05887408087197 |
| The random variable x is : | 0.968221201721401 |
| The random variable x is : | 0.481840840349448 |
| The random variable x is : | 0.574991711182 |
| The random variable x is : | 0.650853415940839 |
| The random variable x is : | 0.775099601734244 |
| The random variable x is : | 0.621814467319031 |
| The random variable x is : | 0.753991384467624 |
| The random variable x is : | 1.28711629402944 |
| The random variable x is : | 0.937294126338953 |
| The random variable x is : | 0.618175126267548 |
| The random variable x is : | 0.738816966033878 |
| The random variable x is : | 0.306907600000502 |
| The random variable x is : | 0.444582213160952 |
| The random variable x is : | 0.499319243224661 |
| The random variable x is : | 0.637515675009744 |
| The random variable x is : | 1.39114044444175 |
| The random variable x is : | 0.793356878836681 |
| The random variable x is : | 0.604300722017003 |
| The random variable x is : | 0.193531110337801 |
| The random variable x is : | 0.793225094380564 |
| The random variable x is : | 1.19367828609864 |
| The random variable x is : | 0.795190114515013 |
| The random variable x is : | 1.07096678863161 |
| The random variable x is : | 0.162155687549472 |
| The random variable x is : | 0.569074668578333 |
| The random variable x is : | 0.390864679337642 |
| The random variable x is : | 0.824022865301611 |
| The random variable x is : | 0.935838196298153 |
| The random variable x is : | 0.775386705643302 |
| The random variable x is : | 0.768211612177865 |
| The random variable x is : | 0.506668273812611 |
| The random variable x is : | 0.830884466388138 |
| The random variable x is : | 0.511650424573085 |
| The random variable x is : | 1.1423557303971 |
| The random variable x is : | 0.494759228099736 |
| The random variable x is : | 0.451533644826523 |
| The random variable x is : | 0.224836211947619 |
| The random variable x is : | 0.3091904881707 |
| The random variable x is : | 0.342619023781368 |
| The random variable x is : | 0.433687065939239 |
| The random variable x is : | 0.38552873125675 |
| The random variable x is : | 0.75994988541175 |
| The random variable x is : | 0.234872880193082 |
| The random variable x is : | 0.333317363482077 |
| The random variable x is : | 0.309740127676237 |
| The random variable x is : | 0.669140629297039 |
| The random variable x is : | 0.729586017758743 |
| The random variable x is : | 0.962050397621226 |
| The random variable x is : | 1.16698091309774 |
| The random variable x is : | 0.757932203974136 |
| The random variable x is : | 0.593082881870511 |
| The random variable x is : | 0.491027386887367 |
| The random variable x is : | 0.735682934026696 |
| The random variable x is : | 0.451889463786294 |
| The random variable x is : | 0.396494619730552 |
| The random variable x is : | 1.30740184515519 |
| The random variable x is : | 0.733447441787718 |
| The random variable x is : | 0.450830744074208 |
| The random variable x is : | 0.513183444907582 |
| The random variable x is : | 0.664057847871822 |
| The random variable x is : | 1.39307038424544 |
| The random variable x is : | 1.88909794493716 |
| The random variable x is : | 0.527015396483872 |
| The random variable x is : | 0.985208829243242 |
| The random variable x is : | 1.47797645470154 |
| The random variable x is : | 0.973641050853762 |
| The random variable x is : | 0.648187573001078 |
| The random variable x is : | 0.527039931118034 |
| The random variable x is : | 0.887301663577574 |
| The random variable x is : | 0.471883363765479 |
| The random variable x is : | 0.685372257513884 |
| The random variable x is : | 0.435794268841463 |
| The random variable x is : | 0.791299129687711 |
| The random variable x is : | 0.603600653553129 |
| The random variable x is : | 0.492716205733187 |
| The random variable x is : | 0.802587869104115 |
| The random variable x is : | 0.528709349971661 |
| The random variable x is : | 0.923944200187256 |
| The random variable x is : | 0.943928675566303 |
| The random variable x is : | 0.230295610602471 |
| The random variable x is : | 1.11111966577107 |
| The random variable x is : | 0.761193501002092 |
| The random variable x is : | 0.220611915491737 |
| The random variable x is : | 1.09503608308452 |
| The random variable x is : | 0.454115994400923 |
| The random variable x is : | 0.467062868404076 |
| The random variable x is : | 0.712499890422079 |
| The random variable x is : | 0.323189930380953 |
| The random variable x is : | 0.950026696124039 |
| The random variable x is : | 1.07445192774199 |
| The random variable x is : | 0.690450960522808 |
| The random variable x is : | 0.319478201654192 |
| The random variable x is : | 0.337585542059755 |
| The random variable x is : | 0.204630980233278 |
| The random variable x is : | 1.04704044292157 |
| The random variable x is : | 0.72468488930789 |
| The random variable x is : | 0.751423756582361 |
| The random variable x is : | 0.543013353035707 |
| The random variable x is : | 0.22575014645993 |
| The random variable x is : | 0.689868664231642 |
| The random variable x is : | 0.791432140859327 |
| The random variable x is : | 0.501872370842066 |
| The random variable x is : | 0.224680855673748 |
| The random variable x is : | 0.497308149427323 |
| The random variable x is : | 1.16083880639351 |
| The random variable x is : | 1.24840869555337 |
| The random variable x is : | 0.429335090465147 |
| The random variable x is : | 0.609000460298669 |
| The random variable x is : | 0.957051530389654 |
| The random variable x is : | 0.792551086130161 |
| The random variable x is : | 0.777041661128554 |
| The random variable x is : | 0.859858927160551 |
| The random variable x is : | 0.534154538559627 |
| The random variable x is : | 1.10136001866541 |
| The random variable x is : | 0.565207957193423 |
| The random variable x is : | 0.590557167190114 |
| The random variable x is : | 1.53622228346902 |
| The random variable x is : | 0.899622659958716 |
| The random variable x is : | 0.598795605597335 |
| The random variable x is : | 0.949415981615949 |
| The random variable x is : | 0.443767177632397 |
| The random variable x is : | 0.578397926810521 |
| The random variable x is : | 0.816940024405901 |
| The random variable x is : | 1.21357977543639 |
| The random variable x is : | 0.920477817488857 |
| The random variable x is : | 0.446616859379106 |
| The random variable x is : | 0.846839173358216 |
| The random variable x is : | 0.604811946216946 |
| The random variable x is : | 0.533895889528882 |
| The random variable x is : | 0.52294792171556 |
| The random variable x is : | 0.525674322619746 |
| The random variable x is : | 1.10231290596541 |
| The random variable x is : | 0.91419220073206 |
| The random variable x is : | 0.699971307540325 |
| The random variable x is : | 0.974816617136123 |
| The random variable x is : | 0.593455495178197 |
| The random variable x is : | 0.661926192684976 |
| The random variable x is : | 0.896175698460316 |
| The random variable x is : | 0.43909046042743 |
| The random variable x is : | 0.31058319777864 |
| The random variable x is : | 1.01294206681692 |
| The random variable x is : | 0.926808683472567 |
| The random variable x is : | 0.425625951302575 |
| The random variable x is : | 0.180829641480789 |
| The random variable x is : | 0.808025661713772 |
| The random variable x is : | 1.98884259608673 |
| The random variable x is : | 0.219788583147908 |
| The random variable x is : | 0.483726718237079 |
| The random variable x is : | 0.509959917001738 |
| The random variable x is : | 0.163735024275023 |
| The random variable x is : | 1.00804243029634 |
| The random variable x is : | 0.474708231917425 |
| The random variable x is : | 0.464781893918874 |
| The random variable x is : | 0.763523791036973 |
| The random variable x is : | 1.03724025242641 |
| The random variable x is : | 0.614998262539881 |
| The random variable x is : | 1.07176028918287 |
| The random variable x is : | 0.453456747259543 |
| The random variable x is : | 0.530897780244848 |
| The random variable x is : | 0.210836572532021 |
| The random variable x is : | 0.840860603517252 |
| The random variable x is : | 0.760026372455317 |
| The random variable x is : | 0.456094596968843 |
| The random variable x is : | 0.641728357818149 |
| The random variable x is : | 0.472047700235426 |
| The random variable x is : | 0.306882042546164 |
| The random variable x is : | 0.329431873829184 |
| The random variable x is : | 0.431599743982354 |
| The random variable x is : | 0.735810718025094 |
| The random variable x is : | 0.802146071442682 |
| The random variable x is : | 0.905046347717006 |
| The random variable x is : | 0.596254382162869 |
| The random variable x is : | 1.15645881696298 |
| The random variable x is : | 0.442454168227167 |
| The random variable x is : | 0.794527876773761 |
| The random variable x is : | 0.695350563129782 |
| The random variable x is : | 0.603685307001922 |
| The random variable x is : | 1.2115851077925 |
| The random variable x is : | 0.588757001473375 |
| The random variable x is : | 0.779072287931386 |
| The random variable x is : | 0.851430401675382 |
| The random variable x is : | 0.819315065711801 |
| The random variable x is : | 0.801739061217178 |
| The random variable x is : | 0.892061159219732 |
| The random variable x is : | 0.560020889642752 |
| The random variable x is : | 0.737773054523758 |
| The random variable x is : | 0.503815178172073 |
| The random variable x is : | 0.720490917996859 |
| The random variable x is : | 0.950778438001538 |
| The random variable x is : | 0.337386441775387 |
| The random variable x is : | 0.834306987032062 |
| The random variable x is : | 0.253198512112459 |
| The random variable x is : | 0.253496029316447 |
| The random variable x is : | 1.06462174968212 |
| The random variable x is : | 0.574002694161319 |
| The random variable x is : | 1.12500986147549 |
| The random variable x is : | 0.908478903195723 |
| The random variable x is : | 0.710936151495074 |
| The random variable x is : | 0.562271142647141 |
| The random variable x is : | 0.923801070799457 |
| The random variable x is : | 0.632193995405312 |
| The random variable x is : | 1.26164987031545 |
| The random variable x is : | 1.15993303181841 |
| The random variable x is : | 0.340013621202733 |
| The random variable x is : | 0.428800553177193 |
| The random variable x is : | 0.491721723054894 |
| The random variable x is : | 1.17963117986841 |
| The random variable x is : | 0.265010858514417 |
| The random variable x is : | 1.04163502655515 |
| The random variable x is : | 0.610364089625006 |
| The random variable x is : | 0.622487818430004 |
| The random variable x is : | 0.303332604301374 |
| The random variable x is : | 0.44124440158727 |
| The random variable x is : | 0.681324442184719 |
| The random variable x is : | 0.680512715877683 |
| The random variable x is : | 0.427374885704558 |
| The random variable x is : | 0.420443978287851 |
| The random variable x is : | 0.556053875793213 |
| The random variable x is : | 0.604021611921873 |
| The random variable x is : | 0.816492857996588 |
| The random variable x is : | 0.305467124041773 |
| The random variable x is : | 0.976807330987919 |
| The random variable x is : | 0.287144517580246 |
| The random variable x is : | 0.621565328821433 |
| The random variable x is : | 0.593479190752004 |
| The random variable x is : | 0.183356652924317 |
| The random variable x is : | 0.480842174044372 |
| The random variable x is : | 0.229392748302931 |
| The random variable x is : | 0.392681009666512 |
| The random variable x is : | 0.667621641546051 |
| The random variable x is : | 0.358176072014937 |
| The random variable x is : | 0.29203540459657 |
| The random variable x is : | 0.514365897920397 |
| The random variable x is : | 0.333450342455692 |
| The random variable x is : | 1.27648326180821 |
| The random variable x is : | 0.855860226930449 |
| The random variable x is : | 0.143624730437003 |
| The random variable x is : | 1.06133794064688 |
| The random variable x is : | 1.49817558224781 |
| The random variable x is : | 0.733140094201011 |
| The random variable x is : | 1.01794989199964 |
| The random variable x is : | 0.513841767270643 |
| The random variable x is : | 0.739357521398439 |
| The random variable x is : | 0.385249927202737 |
| The random variable x is : | 0.769396457095674 |
| The random variable x is : | 0.330740112981859 |
| The random variable x is : | 0.46244906443675 |
| The random variable x is : | 0.337903597048524 |
| The random variable x is : | 1.0598051819621 |
| The random variable x is : | 1.55880955564804 |
| The random variable x is : | 0.466880911696402 |
| The random variable x is : | 0.573796490537948 |
| The random variable x is : | 1.10105432142992 |
| The random variable x is : | 0.9500833630725 |
| The random variable x is : | 0.274648485653481 |
| The random variable x is : | 0.685580494380063 |
| The random variable x is : | 0.922458532230217 |
| The random variable x is : | 0.337513605712645 |
| The random variable x is : | 0.455923768034347 |
| The random variable x is : | 0.861923431734524 |
| The random variable x is : | 0.850613088156836 |
| The random variable x is : | 0.630251347326095 |
| The random variable x is : | 0.947426797391893 |
| The random variable x is : | 0.927478303058852 |
| The random variable x is : | 0.946248062388891 |
| The random variable x is : | 0.689539751295059 |
| The random variable x is : | 0.258303454703497 |
| The random variable x is : | 0.417671313456021 |
| The random variable x is : | 0.527123077340594 |
| The random variable x is : | 0.41932994836122 |
| The random variable x is : | 0.440616658920629 |
| The random variable x is : | 0.559206307337634 |
| The random variable x is : | 1.09082744312301 |
| The random variable x is : | 0.837328123440633 |
| The random variable x is : | 0.791962387691364 |
| The random variable x is : | 0.774228445252136 |
| The random variable x is : | 0.735833129891219 |
| The random variable x is : | 0.525395237146001 |
| The random variable x is : | 0.669105400720096 |
| The random variable x is : | 0.425307874422335 |
| The random variable x is : | 1.18783451924538 |
| The random variable x is : | 1.01108974867506 |
| The random variable x is : | 0.38965695010653 |
| The random variable x is : | 0.252606653092473 |
| The random variable x is : | 0.624425716824889 |
| The random variable x is : | 0.641355782319696 |
| The random variable x is : | 1.19211413199439 |
| The random variable x is : | 0.916682142253267 |
| The random variable x is : | 0.569125485369814 |
| The random variable x is : | 1.29263209838482 |
| The random variable x is : | 0.651281743516114 |
| The random variable x is : | 0.907984036664486 |
| The random variable x is : | 0.396752561626196 |
| The random variable x is : | 0.532924723976731 |
| The random variable x is : | 0.418990990833564 |
| The random variable x is : | 1.02075155386505 |
| The random variable x is : | 1.38167694727356 |
| The random variable x is : | 0.812281613798252 |
| The random variable x is : | 0.832391427425053 |
| The random variable x is : | 1.00336729497347 |
| The random variable x is : | 0.639639531625891 |
| The random variable x is : | 0.742118832069811 |
| The random variable x is : | 1.14360719551981 |
| The random variable x is : | 1.14367197713295 |
| The random variable x is : | 0.230080344836203 |
| The random variable x is : | 0.577519370258291 |
| The random variable x is : | 0.715342977892164 |
| The random variable x is : | 1.24715058664968 |
| The random variable x is : | 0.332170830810711 |
| The random variable x is : | 1.11952011461209 |
| The random variable x is : | 0.74693123835933 |
| The random variable x is : | 0.425178512519013 |
| The random variable x is : | 1.02102035771378 |
| The random variable x is : | 0.683596885163241 |
| The random variable x is : | 0.914205554399465 |
| The random variable x is : | 0.593324673968587 |
| The random variable x is : | 1.31309353640837 |
| The random variable x is : | 0.40678829117796 |
| The random variable x is : | 0.381829212364566 |
| The random variable x is : | 0.789309599791576 |
| The random variable x is : | 0.790312729349073 |
| The random variable x is : | 1.1093688854992 |
| The random variable x is : | 1.0819752820862 |
| The random variable x is : | 0.415015989948915 |
| The random variable x is : | 0.754768225640802 |
| The random variable x is : | 0.831948376211043 |
| The random variable x is : | 0.325769411364935 |
| The random variable x is : | 0.313442075203124 |
| The random variable x is : | 0.935664009779654 |
| The random variable x is : | 0.922303483245486 |
| The random variable x is : | 0.243245610989833 |
| The random variable x is : | 1.50297241049431 |
| The random variable x is : | 0.815231131460508 |
| The random variable x is : | 1.12210707725616 |
| The random variable x is : | 0.96253045427425 |
| The random variable x is : | 0.860972596364648 |
| The random variable x is : | 1.12725476963433 |
| The random variable x is : | 1.28754240557599 |
| The random variable x is : | 0.643325075560403 |
| The random variable x is : | 0.895422447490433 |
| The random variable x is : | 0.775465705421849 |
| The random variable x is : | 0.564835991792528 |
| The random variable x is : | 0.401463145755534 |
| The random variable x is : | 0.644875851303552 |
| The random variable x is : | 0.444855459832268 |
| The random variable x is : | 0.581258458278182 |
| The random variable x is : | 0.491414919103566 |
| The random variable x is : | 0.863466122460046 |
| The random variable x is : | 0.224251134406438 |
| The random variable x is : | 0.931606728116157 |
| The random variable x is : | 0.715428379316215 |
| The random variable x is : | 0.725962787348905 |
| The random variable x is : | 0.261381231717402 |
| The random variable x is : | 0.302166368573498 |
| The random variable x is : | 0.704600942080254 |
| The random variable x is : | 0.756806057140901 |
| The random variable x is : | 0.415634372616333 |
| The random variable x is : | 0.440604204308987 |
| The random variable x is : | 0.538548440135758 |
| The random variable x is : | 0.90203725238902 |
| The random variable x is : | 1.44216937615476 |
| The random variable x is : | 0.572469153264402 |
| The random variable x is : | 1.01701932220366 |
| The random variable x is : | 0.630369561334083 |
| The random variable x is : | 1.37417374891828 |
| The random variable x is : | 1.15808271628113 |
| The random variable x is : | 0.530607640948345 |
| The random variable x is : | 0.84446166981362 |
| The random variable x is : | 0.437859692946251 |
| The random variable x is : | 0.31060559111796 |
| The random variable x is : | 1.69921920716083 |
| The random variable x is : | 0.354932057650488 |
| The random variable x is : | 0.474481910725201 |
| The random variable x is : | 0.985987833883913 |
| The random variable x is : | 0.705072850705762 |
| The random variable x is : | 0.372981144379567 |
| The random variable x is : | 0.220963613709527 |
| The random variable x is : | 0.72053458045163 |
| The random variable x is : | 1.58235489220758 |
| The random variable x is : | 0.36068506397247 |
| The random variable x is : | 0.443438325225045 |
| The random variable x is : | 1.17198536043189 |
| The random variable x is : | 0.673148535397929 |
| The random variable x is : | 1.04269572366211 |
| The random variable x is : | 0.849728295420386 |
| The random variable x is : | 1.25252169350379 |
| The random variable x is : | 1.74239353271317 |
| The random variable x is : | 0.583566622075049 |
| The random variable x is : | 0.738398027352493 |
| The random variable x is : | 1.08108302061323 |
| The random variable x is : | 0.787017750206101 |
| The random variable x is : | 0.397465201082562 |
| The random variable x is : | 1.46042905320093 |
| The random variable x is : | 0.465129770793242 |
| The random variable x is : | 0.913918838669542 |
| The random variable x is : | 1.03073712021885 |
| The random variable x is : | 0.991290476257321 |
| The random variable x is : | 0.686216089889656 |
| The random variable x is : | 1.55528514736912 |
| The random variable x is : | 0.801278659630084 |
| The random variable x is : | 0.915148867837961 |
| The random variable x is : | 0.203223261066572 |
| The random variable x is : | 0.512029462936285 |
| The random variable x is : | 0.368118512693669 |
| The random variable x is : | 1.39502592408235 |
| The random variable x is : | 0.86163550074218 |
| The random variable x is : | 0.686614378199127 |
| The random variable x is : | 0.677913120119592 |
| The random variable x is : | 0.235302975657389 |
| The random variable x is : | 1.24346346512519 |
| The random variable x is : | 0.652460435757326 |
| The random variable x is : | 0.732443650387808 |
| The random variable x is : | 0.312298686284966 |
| The random variable x is : | 0.777331364713327 |
| The random variable x is : | 0.976027210680943 |
| The random variable x is : | 0.574604102397942 |
| The random variable x is : | 0.672802849303558 |
| The random variable x is : | 0.340435173244741 |
| The random variable x is : | 0.343707167568919 |
| The random variable x is : | 0.607712064541326 |
| The random variable x is : | 0.839716310349015 |
| The random variable x is : | 0.820258787012964 |
| The random variable x is : | 0.555151841625228 |
| The random variable x is : | 0.503026547790316 |
| The random variable x is : | 0.518804656791922 |
| The random variable x is : | 0.977116664867426 |
| The random variable x is : | 0.894036075660695 |
| The random variable x is : | 0.534683757314192 |
| The random variable x is : | 0.700917131910507 |
| The random variable x is : | 0.416608150918782 |
| The random variable x is : | 0.735736190885377 |
| The random variable x is : | 0.601934874048579 |
| The random variable x is : | 1.21581112429154 |
| The random variable x is : | 0.448921340097985 |
| The random variable x is : | 0.251654787170573 |
| The random variable x is : | 0.554185510890014 |
| The random variable x is : | 0.730831352923339 |
| The random variable x is : | 0.533000106581001 |
| The random variable x is : | 0.4939446053258 |
| The random variable x is : | 1.4335990560347 |
| The random variable x is : | 0.848484752132972 |
| The random variable x is : | 0.792082777486638 |
| The random variable x is : | 0.282262765105278 |
| The random variable x is : | 0.963666033591308 |
| The random variable x is : | 1.33299235401006 |
| The random variable x is : | 0.26043050837186 |
| The random variable x is : | 0.453434411926981 |
| The random variable x is : | 1.28292237594303 |
| The random variable x is : | 0.368280401726171 |
| The random variable x is : | 1.02869059157795 |
| The random variable x is : | 1.60311260016258 |
| The random variable x is : | 0.893880819110643 |
| The random variable x is : | 0.412925889563106 |
| The random variable x is : | 0.404583183211615 |
| The random variable x is : | 0.340794780432295 |
| The random variable x is : | 0.937428781748472 |
| The random variable x is : | 1.62627787634212 |
| The random variable x is : | 0.657819066585868 |
| The random variable x is : | 0.316355267155371 |
| The random variable x is : | 0.741918743264687 |
| The random variable x is : | 0.949286821141255 |
| The random variable x is : | 0.807886016150776 |
| The random variable x is : | 0.631909802561897 |
| The random variable x is : | 0.730983938377764 |
| The random variable x is : | 1.2248185486874 |
| The random variable x is : | 0.669630006258714 |
| The random variable x is : | 0.336122374294535 |
| The random variable x is : | 0.694070160934827 |
| The random variable x is : | 0.874816192814493 |
| The random variable x is : | 1.41377612795582 |
| The random variable x is : | 0.784391877665434 |
| The random variable x is : | 0.304670174067111 |
| The random variable x is : | 0.968784462536109 |
| The random variable x is : | 0.540080139537875 |
| The random variable x is : | 1.10155185582828 |
| The random variable x is : | 0.541855029604554 |
| The random variable x is : | 0.641133889726878 |
| The random variable x is : | 0.761924841987626 |
| The random variable x is : | 0.500790279972441 |
| The random variable x is : | 0.384775387600342 |
| The random variable x is : | 0.801495995221438 |
| The random variable x is : | 0.817527507225002 |
| The random variable x is : | 0.33380853941401 |
| The random variable x is : | 0.869126734397519 |
| The random variable x is : | 0.248031512731672 |
| The random variable x is : | 1.00177967235426 |
| The random variable x is : | 0.690841311898583 |
| The random variable x is : | 1.10831780898444 |
| The random variable x is : | 0.426128681782965 |
| The random variable x is : | 0.239681261110663 |
| The random variable x is : | 0.441123442799099 |
| The random variable x is : | 0.688153648540132 |
| The random variable x is : | 1.0085787838249 |
| The random variable x is : | 0.336903589197771 |
| The random variable x is : | 0.534135968522903 |
| The random variable x is : | 1.3550449935044 |
| The random variable x is : | 0.439839592733322 |
| The random variable x is : | 0.946104879186373 |
| The random variable x is : | 0.574850306311863 |
| The random variable x is : | 0.250664524941641 |
| The random variable x is : | 0.790487380760371 |
| The random variable x is : | 1.25210707478331 |
| The random variable x is : | 1.38102098927471 |
| The random variable x is : | 1.02563126327899 |
| The random variable x is : | 0.738772673543724 |
| The random variable x is : | 0.586534552135011 |
| The random variable x is : | 0.325300040412909 |
| The random variable x is : | 0.598032612374535 |
| The random variable x is : | 0.5413616053189 |
| The random variable x is : | 0.683510433876264 |
| The random variable x is : | 0.636656054961096 |
| The random variable x is : | 0.823064814208589 |
| The random variable x is : | 0.5394096392182 |
| The random variable x is : | 1.39817602861533 |
| The random variable x is : | 0.498850376646122 |
| The random variable x is : | 0.600113879733036 |
| The random variable x is : | 0.741917527625935 |
| The random variable x is : | 0.831109682901288 |
| The random variable x is : | 0.453586255645749 |
| The random variable x is : | 0.600286392712399 |
| The random variable x is : | 0.630936435375855 |
| The random variable x is : | 0.757490950495692 |
| The random variable x is : | 0.189367195396374 |
| The random variable x is : | 0.466276787336133 |
| The random variable x is : | 0.743962187523271 |
| The random variable x is : | 0.265861974116017 |
| The random variable x is : | 0.564170472079212 |
| The random variable x is : | 0.64658937433663 |
| The random variable x is : | 0.819287229389173 |
| The random variable x is : | 0.661601350978642 |
| The random variable x is : | 0.794298059059952 |
| The random variable x is : | 0.490926269447983 |
| The random variable x is : | 0.49222201592006 |
| The random variable x is : | 0.462377779372952 |
| The random variable x is : | 0.556261367612546 |
| The random variable x is : | 0.604389977060341 |
| The random variable x is : | 0.88975511691262 |
| The random variable x is : | 0.837175363533294 |
| The random variable x is : | 0.489934420258208 |
| The random variable x is : | 0.477118996089205 |
| The random variable x is : | 0.810650423363369 |
| The random variable x is : | 0.492870785281308 |
| The random variable x is : | 0.375731563856729 |
| The random variable x is : | 0.1956542124257 |
| The random variable x is : | 0.618646916133776 |
| The random variable x is : | 0.481701437916726 |
| The random variable x is : | 0.412179987351457 |
| The random variable x is : | 1.15070635297895 |
| The random variable x is : | 1.869329312953 |
| The random variable x is : | 0.455469072704348 |
| The random variable x is : | 0.667446375320932 |
| The random variable x is : | 0.579331440599292 |
| The random variable x is : | 1.04327261700815 |
| The random variable x is : | 1.17147359522638 |
| The random variable x is : | 0.309052035870154 |
| The random variable x is : | 1.11276857410886 |
| The random variable x is : | 0.654960067773403 |
| The random variable x is : | 0.577980855857551 |
| The random variable x is : | 0.775763095530028 |
| The random variable x is : | 0.860795482286592 |
| The random variable x is : | 0.778174782141046 |
| The random variable x is : | 0.309101275296328 |
| The random variable x is : | 0.246199519365728 |
| The random variable x is : | 0.947790231564786 |
| The random variable x is : | 1.18829765865402 |
| The random variable x is : | 0.878062507116669 |
| The random variable x is : | 0.80641853743431 |
| The random variable x is : | 0.771175544497055 |
| The random variable x is : | 0.28537380424531 |
| The random variable x is : | 0.330619765274157 |
| The random variable x is : | 0.838681102791561 |
| The random variable x is : | 0.857893439424148 |
| The random variable x is : | 0.604794762182221 |
| The random variable x is : | 0.961560829959305 |
| The random variable x is : | 0.534291985241677 |
| The random variable x is : | 1.15636405186662 |
| The random variable x is : | 0.466224075348766 |
| The random variable x is : | 1.05619778793023 |
| The random variable x is : | 0.801576429866855 |
| The random variable x is : | 0.729392883045612 |
| The random variable x is : | 0.85745040830633 |
| The random variable x is : | 1.32284196378406 |
| The random variable x is : | 0.506845853275186 |
| The random variable x is : | 1.271264068119 |
| The random variable x is : | 1.12581054616477 |
| The random variable x is : | 1.53079960640509 |
| The random variable x is : | 0.502552918073832 |
| The random variable x is : | 0.772443486884081 |
| The random variable x is : | 0.911829839151444 |
| The random variable x is : | 0.774689624653383 |
| The random variable x is : | 0.90636959951448 |
| The random variable x is : | 0.392593737131818 |
| The random variable x is : | 0.491090812903279 |
| The random variable x is : | 0.380649833119622 |
| The random variable x is : | 1.1091040692294 |
| The random variable x is : | 0.913440416942535 |
| The random variable x is : | 0.847225485957191 |
| The random variable x is : | 0.600024059659077 |
| The random variable x is : | 0.513779425581249 |
| The random variable x is : | 0.709500868896161 |
| The random variable x is : | 0.541060911200474 |
| The random variable x is : | 0.439466342572054 |
| The random variable x is : | 0.727097734480509 |
| The random variable x is : | 0.684864024545565 |
| The random variable x is : | 0.754075905387838 |
| The random variable x is : | 0.895270004226294 |
| The random variable x is : | 0.487113586420485 |
| The random variable x is : | 0.559742374250229 |
| The random variable x is : | 0.736563430475931 |
| The random variable x is : | 0.284646693906355 |
| The random variable x is : | 1.05927499748644 |
| The random variable x is : | 0.654494434805766 |
| The random variable x is : | 0.479528608309467 |
| The random variable x is : | 0.597923146351728 |
| The random variable x is : | 0.828449461918872 |
| The random variable x is : | 0.391964126073552 |
| The random variable x is : | 0.621844618768059 |
| The random variable x is : | 1.40558932310665 |
| The random variable x is : | 0.667164264829378 |
| The random variable x is : | 1.29931923165378 |
| The random variable x is : | 0.833130293998936 |
| The random variable x is : | 0.752400700492548 |
| The random variable x is : | 0.32841206241584 |
| The random variable x is : | 0.611586090280175 |
| The random variable x is : | 0.811020101362145 |
| The random variable x is : | 0.395519959567536 |
| The random variable x is : | 1.50172191347003 |
| The random variable x is : | 0.933988258975041 |
| The random variable x is : | 0.485664791851774 |
| The random variable x is : | 0.827928546581899 |
| The random variable x is : | 0.718181947655333 |
| The random variable x is : | 0.2821902557438 |
| The random variable x is : | 0.8688536801869 |
| The random variable x is : | 0.522816187125248 |
| The random variable x is : | 0.677383018658494 |
| The random variable x is : | 0.958586399068138 |
| The random variable x is : | 0.551413967373614 |
| The random variable x is : | 0.874462710885876 |
| The random variable x is : | 0.322280241719858 |
| The random variable x is : | 0.886841774259544 |
| The random variable x is : | 0.725613772599348 |
| The random variable x is : | 0.559946110119186 |
| The random variable x is : | 1.74472400896873 |
| The random variable x is : | 0.521925265831367 |
| The random variable x is : | 0.523188297154274 |
| The random variable x is : | 0.956912004042961 |
| The random variable x is : | 0.974476284003327 |
| The random variable x is : | 1.29031387217645 |
| The random variable x is : | 0.254226466657387 |
| The random variable x is : | 0.328705979778345 |
| The random variable x is : | 1.29697182200071 |
| The random variable x is : | 0.451674508204167 |
| The random variable x is : | 0.363469303274875 |
| The random variable x is : | 0.342380667260843 |
| The random variable x is : | 0.51589866680714 |
| The random variable x is : | 0.415423230558595 |
| The random variable x is : | 0.589563614338987 |
| The random variable x is : | 0.557956344894847 |
| The random variable x is : | 0.926992649589614 |
| The random variable x is : | 0.852074728693604 |
| The random variable x is : | 0.495658229228217 |
| The random variable x is : | 0.767359730972388 |
| The random variable x is : | 0.267034043027236 |
| The random variable x is : | 0.852241353983544 |
| The random variable x is : | 0.715002990052551 |
| The random variable x is : | 0.892390761413444 |
| The random variable x is : | 0.574576243983171 |
| The random variable x is : | 0.76053468772982 |
| The random variable x is : | 0.66488240048538 |
| The random variable x is : | 0.960149789793824 |
| The random variable x is : | 0.526559214930847 |
| The random variable x is : | 0.242633121813925 |
| The random variable x is : | 0.508120030130655 |
| The random variable x is : | 0.878432630391832 |
| The random variable x is : | 1.1220063534595 |
| The random variable x is : | 0.757088546422032 |
| The random variable x is : | 1.07256174209373 |
| The random variable x is : | 0.871705639201747 |
| The random variable x is : | 0.716755511315575 |
| The random variable x is : | 0.814814581459901 |
| The random variable x is : | 0.869098861213165 |
| The random variable x is : | 0.538025237159703 |
| The random variable x is : | 0.771816431197663 |
| The random variable x is : | 0.685751424105579 |
| The random variable x is : | 0.388511696402518 |
| The random variable x is : | 1.57497298852901 |
| The random variable x is : | 0.692116999375227 |
| The random variable x is : | 1.01546723036294 |
| The random variable x is : | 0.767287315131944 |
| The random variable x is : | 0.482442066241872 |
| The random variable x is : | 0.790141180301172 |
| The random variable x is : | 0.641146429779812 |
| The random variable x is : | 0.361092509243645 |
| The random variable x is : | 0.758911291544139 |
| The random variable x is : | 1.10750672258254 |
| The random variable x is : | 0.573173452480505 |
| The random variable x is : | 0.256189215643942 |
| The random variable x is : | 0.309720221445354 |
| The random variable x is : | 0.438130267298508 |
| The random variable x is : | 0.590325239029455 |
| The random variable x is : | 0.437967236140595 |
| The random variable x is : | 0.914658001738119 |
| The random variable x is : | 1.39961452157886 |
| The random variable x is : | 0.535584499747434 |
| The random variable x is : | 0.670375178153636 |
| The random variable x is : | 0.709077486615045 |
| The random variable x is : | 1.09051840782094 |
| The random variable x is : | 0.645835818522148 |
| The random variable x is : | 0.550867766911183 |
| The random variable x is : | 0.160538346897594 |
| The random variable x is : | 0.418888915796736 |
| The random variable x is : | 0.610232285154727 |
| The random variable x is : | 0.456856450151562 |
| The random variable x is : | 0.696568590939144 |
| The random variable x is : | 0.644112510978673 |
| The random variable x is : | 0.713565468938067 |
| The random variable x is : | 0.685957955899619 |
| The random variable x is : | 0.310561289660885 |
| The random variable x is : | 1.38210375229246 |
| The random variable x is : | 0.463893384847848 |
| The random variable x is : | 0.822382102144918 |
| The random variable x is : | 0.856342911724259 |
| The random variable x is : | 0.682621033884588 |
| The random variable x is : | 0.483567083170289 |
| The random variable x is : | 0.732781624707207 |
| The random variable x is : | 0.622291734902941 |
| The random variable x is : | 0.838850872657065 |
| The random variable x is : | 0.678152135718055 |
| The random variable x is : | 0.45114885077637 |
| The random variable x is : | 0.831486166720799 |
| The random variable x is : | 0.434442441134049 |
| The random variable x is : | 0.415559815065015 |
| The random variable x is : | 0.785930966406496 |
| The random variable x is : | 0.739751188312017 |
| The random variable x is : | 0.576847571308757 |
| The random variable x is : | 0.851639842510735 |
| The random variable x is : | 0.901417831170576 |
| The random variable x is : | 0.577671814874898 |
| The random variable x is : | 0.734803833539598 |
| The random variable x is : | 0.39919361045599 |
| The random variable x is : | 1.13412213123899 |
| The random variable x is : | 0.981538126699112 |
| The random variable x is : | 0.649346963835448 |
| The random variable x is : | 1.01261877913672 |
| The random variable x is : | 0.403030075798593 |
| The random variable x is : | 0.417404924123097 |
| The random variable x is : | 0.820312449633541 |
| The random variable x is : | 0.261817356512627 |
| The random variable x is : | 0.603709449726795 |
| The random variable x is : | 0.450764577289354 |
| The random variable x is : | 0.899843291895517 |
| The random variable x is : | 1.035840896378 |
| The random variable x is : | 1.34217225417593 |
| The random variable x is : | 0.583850296064984 |
| The random variable x is : | 0.953941234418192 |
| The random variable x is : | 0.852647470343211 |
| The random variable x is : | 0.659732064244252 |
| The random variable x is : | 1.4424575672915 |
| The random variable x is : | 0.606365287315296 |
| The random variable x is : | 0.529421591073714 |
| The random variable x is : | 0.341227497121587 |
| The random variable x is : | 1.01005943245952 |
| The random variable x is : | 0.684829806526072 |
| The random variable x is : | 0.214325203191403 |
| The random variable x is : | 0.47520757883458 |
| The random variable x is : | 1.04415453446268 |
| The random variable x is : | 0.706409713102898 |
| The random variable x is : | 0.176006912368019 |
| The random variable x is : | 0.692222872966091 |
| The random variable x is : | 0.952056335681928 |
| The random variable x is : | 0.661688701295896 |
| The random variable x is : | 0.313131900194336 |
| The random variable x is : | 0.192169017679599 |
| The random variable x is : | 0.922750985859418 |
| The random variable x is : | 0.424163984942234 |
| The random variable x is : | 0.972572911131909 |
| The random variable x is : | 0.506142800154234 |
| The random variable x is : | 0.960405104051608 |
| The random variable x is : | 0.893977464704794 |
| The random variable x is : | 0.922720365057255 |
| The random variable x is : | 0.481611503952132 |
| The random variable x is : | 0.579652209638771 |
| The random variable x is : | 0.419019694386772 |
| The random variable x is : | 0.485748849465919 |
| The random variable x is : | 0.447165201730485 |
| The random variable x is : | 0.899133444256239 |
| The random variable x is : | 0.966252841681373 |
| The random variable x is : | 0.8588376697681 |
| The random variable x is : | 0.413155986247404 |
| The random variable x is : | 0.411606163183041 |
| The random variable x is : | 0.831057272096549 |
| The random variable x is : | 0.580964136208059 |
| The random variable x is : | 0.674076221460014 |
| The random variable x is : | 0.656543999952964 |
| The random variable x is : | 0.598137213684197 |
| The random variable x is : | 1.63720221870484 |
| The random variable x is : | 1.42447173020112 |
| The random variable x is : | 1.09431559172312 |
| The random variable x is : | 1.67950417030125 |
| The random variable x is : | 0.678076632234103 |
| The random variable x is : | 0.621359175898306 |
| The random variable x is : | 0.849545216499639 |
| The random variable x is : | 0.835850259164408 |
| The random variable x is : | 0.321981519090426 |
| The random variable x is : | 0.563680894296194 |
| The random variable x is : | 0.407364473947028 |
| The random variable x is : | 0.72905702836347 |
| The random variable x is : | 0.195923009116667 |
| The random variable x is : | 1.23415746285203 |
| The random variable x is : | 0.427116989506788 |
| The random variable x is : | 0.474832019754068 |
| The random variable x is : | 0.686751018407928 |
| The random variable x is : | 0.866970465682511 |
| The random variable x is : | 0.762476108541984 |
| The random variable x is : | 0.623853919733703 |
| The random variable x is : | 0.492005497847691 |
| The random variable x is : | 0.84764526782962 |
| The random variable x is : | 0.478347648967347 |
| The random variable x is : | 1.40026069740608 |
| The random variable x is : | 0.136613479577992 |
| The random variable x is : | 0.878747580261405 |
| The random variable x is : | 1.08171450981171 |
| The random variable x is : | 1.07912256837252 |
| The random variable x is : | 0.670544482867773 |
| The random variable x is : | 0.411231192357833 |
| The random variable x is : | 0.305631957580558 |
| The random variable x is : | 0.694130265170093 |
| The random variable x is : | 0.442813081333876 |
| The random variable x is : | 0.435109478062981 |
| The random variable x is : | 0.71322631679802 |
| The random variable x is : | 0.764748100125776 |
| The random variable x is : | 0.920836930179879 |
| The random variable x is : | 0.670499939321955 |
| The random variable x is : | 0.812951110535758 |
| The random variable x is : | 0.393873984711994 |
| The random variable x is : | 0.899552046832916 |
| The random variable x is : | 0.595023435103115 |
| The random variable x is : | 1.17357801985297 |
| The random variable x is : | 0.75666868567518 |
| The random variable x is : | 0.715472261831897 |
| The random variable x is : | 0.841188267021441 |
| The random variable x is : | 1.17436743321174 |
| The random variable x is : | 0.679322201890234 |
| The random variable x is : | 0.754494791767327 |
| The random variable x is : | 0.893541827490018 |
| The random variable x is : | 1.32015518247357 |
| The random variable x is : | 0.413616722137615 |
| The random variable x is : | 0.92498436760898 |
| The random variable x is : | 0.489980425887563 |
| The random variable x is : | 0.832251432822865 |
| The random variable x is : | 0.351117776418462 |
| The random variable x is : | 0.686156465345852 |
| The random variable x is : | 0.496199150787658 |
| The random variable x is : | 0.952205186772846 |
| The random variable x is : | 0.886247811720524 |
| The random variable x is : | 1.68478839926112 |
| The random variable x is : | 0.627205118469745 |
| The random variable x is : | 1.11719549103309 |
| The random variable x is : | 0.593554568845537 |
| The random variable x is : | 0.306498864678496 |
| The random variable x is : | 1.04823638739218 |
| The random variable x is : | 0.432436554385516 |
| The random variable x is : | 0.599885426931597 |
| The random variable x is : | 0.845746449412435 |
| The random variable x is : | 0.822062048878766 |
| The random variable x is : | 1.40071600782199 |
| The random variable x is : | 1.4430878695273 |
| The random variable x is : | 0.816279207905868 |
| The random variable x is : | 0.748252306377617 |
| The random variable x is : | 0.312806813511192 |
| The random variable x is : | 0.248581450316796 |
| The random variable x is : | 1.04900696310503 |
| The random variable x is : | 0.144853455600294 |
| The random variable x is : | 0.613308731602482 |
| The random variable x is : | 0.667802855219163 |
| The random variable x is : | 1.05468462026143 |
| The random variable x is : | 0.69851711612854 |
| The random variable x is : | 0.777115090118932 |
| The random variable x is : | 0.628048922163108 |
| The random variable x is : | 0.343168974635749 |
| The random variable x is : | 0.884896792721137 |
| The random variable x is : | 0.389405045361849 |
| The random variable x is : | 0.84230622921445 |
| The random variable x is : | 0.723887014444909 |
| The random variable x is : | 0.767792492499412 |
| The random variable x is : | 0.812091014560865 |
| The random variable x is : | 0.615311646314191 |
| The random variable x is : | 1.42687731911465 |
| The random variable x is : | 0.303961070496783 |
| The random variable x is : | 1.46854166660001 |
| The random variable x is : | 0.324205869946497 |
| The random variable x is : | 0.985867340430823 |
| The random variable x is : | 0.128305581768403 |
| The random variable x is : | 0.578570736919745 |
| The random variable x is : | 0.517932822464582 |
| The random variable x is : | 0.333110010991737 |
| The random variable x is : | 0.871376027137485 |
| The random variable x is : | 0.721083901481521 |
| The random variable x is : | 0.738210501203123 |
| The random variable x is : | 0.407054621181062 |
| The random variable x is : | 0.656660118871199 |
| The random variable x is : | 1.02748177499471 |
| The random variable x is : | 1.15485888141188 |
| The random variable x is : | 0.657343040194156 |
| The random variable x is : | 0.467933395228025 |
| The random variable x is : | 0.240072400500135 |
| The random variable x is : | 0.829066542151455 |
| The random variable x is : | 1.39389704129051 |
| The random variable x is : | 0.262643337711062 |
| The random variable x is : | 0.477713405471259 |
| The random variable x is : | 0.626116530878293 |
| The random variable x is : | 0.524304266282163 |
| The random variable x is : | 0.719142705791587 |
| The random variable x is : | 1.08198340083553 |
| The random variable x is : | 0.34816187070255 |
| The random variable x is : | 0.250200726175852 |
| The random variable x is : | 0.601031376033791 |
| The random variable x is : | 0.485842241449173 |
| The random variable x is : | 0.932860501596303 |
| The random variable x is : | 0.54458780666023 |
| The random variable x is : | 0.45364688293998 |
| The random variable x is : | 0.725675746656507 |
| The random variable x is : | 0.888669574759011 |
| The random variable x is : | 0.589443427535846 |
| The random variable x is : | 0.775957873350573 |
| The random variable x is : | 0.403323402101171 |
| The random variable x is : | 0.280753584687693 |
| The random variable x is : | 0.891119840257185 |
| The random variable x is : | 0.735916516761969 |
| The random variable x is : | 0.835388286612491 |
| The random variable x is : | 1.18857750720428 |
| The random variable x is : | 0.521014287732635 |
| The random variable x is : | 0.736930398453472 |
| The random variable x is : | 0.493091331471299 |
| The random variable x is : | 1.00290888598469 |
| The random variable x is : | 0.734992847625472 |
| The random variable x is : | 0.483757146235754 |
| The random variable x is : | 0.736812141874512 |
| The random variable x is : | 1.41000157806174 |
| The random variable x is : | 0.503002588920217 |
| The random variable x is : | 0.490420013243063 |
| The random variable x is : | 0.900432941942943 |
| The random variable x is : | 0.620029100318733 |
| The random variable x is : | 0.732888213883507 |
| The random variable x is : | 0.892603860081915 |
| The random variable x is : | 0.568532499929672 |
| The random variable x is : | 0.653965333913858 |
| The random variable x is : | 0.568158014060589 |
| The random variable x is : | 1.13143310187628 |
| The random variable x is : | 0.763696531444177 |
| The random variable x is : | 0.776473876464781 |
| The random variable x is : | 0.498782794881413 |
| The random variable x is : | 0.803018544913639 |
| The random variable x is : | 0.410100437413224 |
| The random variable x is : | 0.852114990617 |
| The random variable x is : | 0.727439935902438 |
| The random variable x is : | 0.552783939545285 |
| The random variable x is : | 0.784522705392764 |
| The random variable x is : | 0.911875949822413 |
| The random variable x is : | 1.20677738082875 |
| The random variable x is : | 0.428252946499426 |
| The random variable x is : | 0.768331145138612 |
| The random variable x is : | 0.614445740370349 |
| The random variable x is : | 0.764410644664533 |
| The random variable x is : | 0.355437095736306 |
| The random variable x is : | 0.453252099855447 |
| The random variable x is : | 0.561257827208784 |
| The random variable x is : | 0.425915102279041 |
| The random variable x is : | 0.61113248602531 |
| The random variable x is : | 0.621687079239837 |
| The random variable x is : | 0.8515380261576 |
| The random variable x is : | 0.294565222357196 |
| The random variable x is : | 0.518904156421765 |
| The random variable x is : | 0.563845360391437 |
| The random variable x is : | 0.596518066127743 |
| The random variable x is : | 0.386837390905276 |
| The random variable x is : | 0.271891403254025 |
| The random variable x is : | 0.879747698376417 |
| The random variable x is : | 0.539734570853738 |
| The random variable x is : | 0.66681766826902 |
| The random variable x is : | 0.847940134322596 |
| The random variable x is : | 0.783427868495937 |
| The random variable x is : | 0.969595181521006 |
| The random variable x is : | 0.76533519312569 |
| The random variable x is : | 0.397614272755109 |
| The random variable x is : | 0.396452289615193 |
| The random variable x is : | 0.771263298296318 |
| The random variable x is : | 0.591293582445776 |
| The random variable x is : | 0.486060512687391 |
| The random variable x is : | 0.526858730767536 |
| The random variable x is : | 0.869172300901936 |
| The random variable x is : | 0.550446340984494 |
| The random variable x is : | 0.489649632639771 |
| The random variable x is : | 0.760507563964013 |
| The random variable x is : | 1.14019710041415 |
| The random variable x is : | 0.536853827736701 |
| The random variable x is : | 1.05734433845578 |
| The random variable x is : | 0.554486157925898 |
| The random variable x is : | 1.28004100825744 |
| The random variable x is : | 1.24348356505002 |
| The random variable x is : | 0.351199535273565 |
| The random variable x is : | 0.744535887420354 |
| The random variable x is : | 0.729838252465008 |
| The random variable x is : | 0.735632472367982 |
| The random variable x is : | 0.369260689562634 |
| The random variable x is : | 1.0678791349777 |
| The random variable x is : | 1.43973675590247 |
| The random variable x is : | 0.478843257389187 |
| The random variable x is : | 0.568966617293066 |
| The random variable x is : | 0.713928712023388 |
| The random variable x is : | 0.761473470052191 |
| The random variable x is : | 1.12964348419973 |
| The random variable x is : | 0.896261489847851 |
| The random variable x is : | 1.12358138414172 |
| The random variable x is : | 0.457467136685091 |
| The random variable x is : | 0.902262745291693 |
| The random variable x is : | 0.811012260896585 |
| The random variable x is : | 0.463206708693707 |
| The random variable x is : | 0.5988282419495 |
| The random variable x is : | 0.633164255785986 |
| The random variable x is : | 0.288352610815029 |
| The random variable x is : | 0.749230449703233 |
| The random variable x is : | 0.689837897502457 |
| The random variable x is : | 0.521251422177957 |
| The random variable x is : | 0.617763240889026 |
| The random variable x is : | 0.270216035367503 |
| The random variable x is : | 0.68677481112938 |
| The random variable x is : | 0.950884035003475 |
| The random variable x is : | 0.464275004718396 |
| The random variable x is : | 0.729651637421509 |
| The random variable x is : | 0.289514064844615 |
| The random variable x is : | 0.415462915074484 |
| The random variable x is : | 0.610026420815642 |
| The random variable x is : | 0.658005778173062 |
| The random variable x is : | 0.645354715741733 |
| The random variable x is : | 1.24532560067368 |
| The random variable x is : | 0.484736456455063 |
| The random variable x is : | 1.38218953381519 |
| The random variable x is : | 0.833806668083052 |
| The random variable x is : | 0.585630769350583 |
| The random variable x is : | 0.992400862434229 |
| The random variable x is : | 1.21108576192042 |
| The random variable x is : | 0.221729797548264 |
| The random variable x is : | 0.398482324557427 |
| The random variable x is : | 0.586287502242322 |
| The random variable x is : | 1.07927088590006 |
| The random variable x is : | 0.640830168135549 |
| The random variable x is : | 1.69477134249356 |
| The random variable x is : | 0.731170660328919 |
| The random variable x is : | 0.76535314714231 |
| The random variable x is : | 1.14560761767976 |
| The random variable x is : | 0.434136056996351 |
| The random variable x is : | 0.651332057299068 |
| The random variable x is : | 0.587339496637372 |
| The random variable x is : | 0.764782117378064 |
| The random variable x is : | 0.368988135075096 |
| The random variable x is : | 0.462518350971306 |
| The random variable x is : | 0.593869178851752 |
| The random variable x is : | 0.21970621199159 |
| The random variable x is : | 0.625379490208467 |
| The random variable x is : | 0.321122659437405 |
| The random variable x is : | 0.57492414789978 |
| The random variable x is : | 0.465954446656392 |
| The random variable x is : | 0.558495959792262 |
| The random variable x is : | 0.680695282515298 |
| The random variable x is : | 0.694098931054926 |
| The random variable x is : | 0.650869549287096 |
| The random variable x is : | 0.557380464657636 |
| The random variable x is : | 0.482642087769799 |
| The random variable x is : | 0.239769566886432 |
| The random variable x is : | 0.742144677397535 |
| The random variable x is : | 0.689983582712168 |
| The random variable x is : | 0.445248845192931 |
| The random variable x is : | 0.621001204696734 |
| The random variable x is : | 1.62006252677454 |
| The random variable x is : | 0.378081142341915 |
| The random variable x is : | 0.407311972803129 |
| The random variable x is : | 1.00760830579239 |
| The random variable x is : | 0.374077418675229 |
| The random variable x is : | 0.312158481712966 |
| The random variable x is : | 0.862708250299739 |
| The random variable x is : | 1.01493645170147 |
| The random variable x is : | 1.0918659873564 |
| The random variable x is : | 0.824919221924632 |
| The random variable x is : | 1.13467478053308 |
| The random variable x is : | 0.453206396191005 |
| The random variable x is : | 0.624602286786739 |
| The random variable x is : | 1.07409087379757 |
| The random variable x is : | 0.416651771260147 |
| The random variable x is : | 0.305186798473433 |
| The random variable x is : | 0.82793881011036 |
| The random variable x is : | 0.663393951053916 |
| The random variable x is : | 0.77366623002046 |
| The random variable x is : | 1.00619990516525 |
| The random variable x is : | 0.869436004330493 |
| The random variable x is : | 0.662617187233274 |
| The random variable x is : | 0.811581564647945 |
| The random variable x is : | 0.950680031761597 |
| The random variable x is : | 0.279834463686428 |
| The random variable x is : | 0.630041283525223 |
| The random variable x is : | 0.653654819736478 |
| The random variable x is : | 0.407814965745992 |
| The random variable x is : | 1.18229731365702 |
| The random variable x is : | 0.947791042049127 |
| The random variable x is : | 0.918737775512111 |
| The random variable x is : | 0.431002806497449 |
| The random variable x is : | 0.691822297947426 |
| The random variable x is : | 0.839745393115319 |
| The random variable x is : | 0.368733744372582 |
| The random variable x is : | 0.603025101020792 |
| The random variable x is : | 0.310575506260466 |
| The random variable x is : | 0.765094773654497 |
| The random variable x is : | 0.331508473916556 |
| The random variable x is : | 0.224426103257393 |
| The random variable x is : | 0.251207363514279 |
| The random variable x is : | 0.65803671933119 |
| The random variable x is : | 0.777908116506885 |
| The random variable x is : | 1.30769068647546 |
| The random variable x is : | 1.1806466626944 |
| The random variable x is : | 0.681484181259821 |
| The random variable x is : | 1.18259274582003 |
| The random variable x is : | 0.764062042588298 |
| The random variable x is : | 0.50529735718511 |
| The random variable x is : | 0.715778256560226 |
| The random variable x is : | 0.757815414282138 |
| The random variable x is : | 0.382146182058118 |
| The random variable x is : | 1.22822468123254 |
| The random variable x is : | 0.793360573844605 |
| The random variable x is : | 0.41277877564386 |
| The random variable x is : | 0.626285628893318 |
| The random variable x is : | 0.843971215382559 |
| The random variable x is : | 1.08706947651257 |
| The random variable x is : | 0.729609059997825 |
| The random variable x is : | 0.288775100467077 |
| The random variable x is : | 0.458688593574051 |
| The random variable x is : | 0.430018549123215 |
| The random variable x is : | 0.504176040491795 |
| The random variable x is : | 0.404760215204212 |
| The random variable x is : | 0.82204931333632 |
| The random variable x is : | 0.271971280548201 |
| The random variable x is : | 0.899091372714244 |
| The random variable x is : | 1.07630407899805 |
| The random variable x is : | 1.36250346253632 |
| The random variable x is : | 0.292348830639644 |
| The random variable x is : | 0.917683960014665 |
| The random variable x is : | 0.185541328187221 |
| The random variable x is : | 0.972345020504482 |
| The random variable x is : | 0.983967881825282 |
| The random variable x is : | 0.797219912512053 |
| The random variable x is : | 1.03391324778842 |
| The random variable x is : | 0.911179405790345 |
| The random variable x is : | 0.866202081534089 |
| The random variable x is : | 0.316792768692219 |
| The random variable x is : | 0.842622853414233 |
| The random variable x is : | 0.615696449692179 |
| The random variable x is : | 0.609388463179711 |
| The random variable x is : | 0.354925411900387 |
| The random variable x is : | 0.269763896154643 |
| The random variable x is : | 0.683998032498303 |
| The random variable x is : | 0.213498400192101 |
| The random variable x is : | 0.375582212061624 |
| The random variable x is : | 0.347313546457609 |
| The random variable x is : | 0.538250198732118 |
| The random variable x is : | 0.841840996985443 |
| The random variable x is : | 0.604710977619187 |
| The random variable x is : | 1.00386549214101 |
| The random variable x is : | 0.400156809232962 |
| The random variable x is : | 0.621842425919126 |
| The random variable x is : | 1.22239242221083 |
| The random variable x is : | 0.51602463242344 |
| The random variable x is : | 0.882847374919739 |
| The random variable x is : | 0.433593161533762 |
| The random variable x is : | 1.22233659592906 |
| The random variable x is : | 0.790456394432315 |
| The random variable x is : | 0.524188869681906 |
| The random variable x is : | 0.756769568745585 |
| The random variable x is : | 0.465569770840695 |
| The random variable x is : | 0.352466181858767 |
| The random variable x is : | 0.815068099589008 |
| The random variable x is : | 0.169904825164977 |
| The random variable x is : | 0.673045495591629 |
| The random variable x is : | 0.864942410644959 |
| The random variable x is : | 0.436942674063194 |
| The random variable x is : | 1.07992034367885 |
| The random variable x is : | 0.691404540016323 |
| The random variable x is : | 0.44978828038866 |
| The random variable x is : | 0.689743913070285 |
| The random variable x is : | 0.820805069380673 |
| The random variable x is : | 0.525225085397828 |
| The random variable x is : | 1.03614857776609 |
| The random variable x is : | 0.480885073265152 |
| The random variable x is : | 0.603335028504049 |
| The random variable x is : | 0.428857237841105 |
| The random variable x is : | 0.718616858648185 |
| The random variable x is : | 0.774343295417044 |
| The random variable x is : | 0.63646629080445 |
| The random variable x is : | 1.42423056704643 |
| The random variable x is : | 1.11854609523089 |
| The random variable x is : | 0.52240074480127 |
| The random variable x is : | 0.792886068985755 |
| The random variable x is : | 0.399397578621225 |
| The random variable x is : | 0.798685749565632 |
| The random variable x is : | 0.6976761897514 |
| The random variable x is : | 0.549688975893199 |
| The random variable x is : | 1.71738712444062 |
| The random variable x is : | 0.696729476049061 |
| The random variable x is : | 0.696753509428672 |
| The random variable x is : | 0.547905503663972 |
| The random variable x is : | 0.471946984797144 |
| The random variable x is : | 0.982088694976728 |
| The random variable x is : | 0.652557012178431 |
| The random variable x is : | 0.628703212783739 |
| The random variable x is : | 0.415380759887684 |
| The random variable x is : | 1.0370878103719 |
| The random variable x is : | 0.34556202645457 |
| The random variable x is : | 0.449717922781307 |
| The random variable x is : | 0.862182692658836 |
| The random variable x is : | 0.627411809751371 |
| The random variable x is : | 0.709819717506173 |
| The random variable x is : | 0.437061326198507 |
| The random variable x is : | 1.0601605126297 |
| The random variable x is : | 0.561324024369465 |
| The random variable x is : | 0.26531875185554 |
| The random variable x is : | 0.622349983353233 |
| The random variable x is : | 0.8389861573547 |
| The random variable x is : | 0.375242417761462 |
| The random variable x is : | 0.562205474503718 |
| The random variable x is : | 0.85569961919875 |
| The random variable x is : | 0.452341238645649 |
| The random variable x is : | 0.439384680050726 |
| The random variable x is : | 0.297734830867925 |
| The random variable x is : | 0.291370638982461 |
| The random variable x is : | 0.396742002712378 |
| The random variable x is : | 0.285958572193811 |
| The random variable x is : | 0.405004268947977 |
| The random variable x is : | 0.293241568853435 |
| The random variable x is : | 0.585404448685865 |
| The random variable x is : | 0.86005460795069 |
| The random variable x is : | 0.375720792299984 |
| The random variable x is : | 0.709463265193649 |
| The random variable x is : | 0.466369368512656 |
| The random variable x is : | 0.826436643847996 |
| The random variable x is : | 0.941994718314615 |
| The random variable x is : | 0.684317026948861 |
| The random variable x is : | 0.845766928012495 |
| The random variable x is : | 0.90738342100583 |
| The random variable x is : | 0.756089422370059 |
| The random variable x is : | 1.59417856282406 |
| The random variable x is : | 0.589734690433231 |
| The random variable x is : | 0.715573884370424 |
| The random variable x is : | 0.582709677472482 |
| The random variable x is : | 0.339952879875303 |
| The random variable x is : | 0.585603349835109 |
| The random variable x is : | 0.845247541686438 |
| The random variable x is : | 0.651900714219394 |
| The random variable x is : | 0.408924328591173 |
| The random variable x is : | 0.313075010375704 |
| The random variable x is : | 0.526302606251909 |
| The random variable x is : | 0.152430004395453 |
| The random variable x is : | 0.809644641148821 |
| The random variable x is : | 0.368874039425978 |
| The random variable x is : | 0.790586904829309 |
| The random variable x is : | 0.53428630898146 |
| The random variable x is : | 1.31706734081801 |
| The random variable x is : | 0.244373431119396 |
| The random variable x is : | 0.698089369757698 |
| The random variable x is : | 0.155606116298761 |
| The random variable x is : | 0.934305052913333 |
| The random variable x is : | 0.570590789535091 |
| The random variable x is : | 0.409102253256073 |
| The random variable x is : | 0.733324010933171 |
| The random variable x is : | 0.306859291956009 |
| The random variable x is : | 0.389243302925882 |
| The random variable x is : | 0.711989757932067 |
| The random variable x is : | 0.553284143067944 |
| The random variable x is : | 0.839226160120034 |
| The random variable x is : | 0.727956118038893 |
| The random variable x is : | 0.437028737978725 |
| The random variable x is : | 0.389230161142374 |
| The random variable x is : | 1.52605211240207 |
| The random variable x is : | 0.524957918578931 |
| The random variable x is : | 0.72013454318918 |
| The random variable x is : | 0.992396905009436 |
| The random variable x is : | 0.768763397353826 |
| The random variable x is : | 0.282325080271429 |
| The random variable x is : | 1.29384570783992 |
| The random variable x is : | 1.06741784572957 |
| The random variable x is : | 0.462181144327462 |
| The random variable x is : | 0.592897002087454 |
| The random variable x is : | 0.408020755430997 |
| The random variable x is : | 0.838169029121469 |
| The random variable x is : | 0.53011293242577 |
| The random variable x is : | 0.714191363983581 |
| The random variable x is : | 0.833868602322649 |
| The random variable x is : | 0.443026458229342 |
| The random variable x is : | 0.397582524951311 |
| The random variable x is : | 1.00856867751993 |
| The random variable x is : | 0.440249628295443 |
| The random variable x is : | 0.877812284841121 |
| The random variable x is : | 0.831245497966034 |
| The random variable x is : | 1.02405124881971 |
| The random variable x is : | 0.583823295624153 |
| The random variable x is : | 0.0274235778988786 |
| The random variable x is : | 0.49758250098836 |
| The random variable x is : | 0.926495477355664 |
| The random variable x is : | 0.583471551650367 |
| The random variable x is : | 0.584110374831135 |
| The random variable x is : | 0.486519709542215 |
| The random variable x is : | 1.54731832289578 |
| The random variable x is : | 0.922649422850426 |
| The random variable x is : | 0.435073725665092 |
| The random variable x is : | 0.622891721058517 |
| The random variable x is : | 0.666322558861615 |
| The random variable x is : | 1.02871825719218 |
| The random variable x is : | 0.594996748939419 |
| The random variable x is : | 0.953259505494149 |
| The random variable x is : | 0.618295902003318 |
| The random variable x is : | 0.488364915871456 |
| The random variable x is : | 0.613607541718149 |
| The random variable x is : | 0.625108404382398 |
| The random variable x is : | 1.12581281266203 |
| The random variable x is : | 0.74226931970305 |
| The random variable x is : | 0.392768848201727 |
| The random variable x is : | 0.646147100956329 |
| The random variable x is : | 0.778554297355595 |
| The random variable x is : | 0.610218559680295 |
| The random variable x is : | 0.313130508906597 |
| The random variable x is : | 0.429497979421522 |
| The random variable x is : | 0.42702214960238 |
| The random variable x is : | 0.277465648310195 |
| The random variable x is : | 0.421736313095444 |
| The random variable x is : | 0.653653239908773 |
| The random variable x is : | 0.606587684940581 |
| The random variable x is : | 0.46611547210317 |
| The random variable x is : | 0.423466487779796 |
| The random variable x is : | 0.603862702859473 |
| The random variable x is : | 0.634520666386892 |
| The random variable x is : | 0.468956449569281 |
| The random variable x is : | 0.895120380840773 |
| The random variable x is : | 0.873877213752774 |
| The random variable x is : | 0.516596664035025 |
| The random variable x is : | 2.30962360840747 |
| The random variable x is : | 0.964237833558699 |
| The random variable x is : | 0.480325503895363 |
| The random variable x is : | 0.606381065739525 |
| The random variable x is : | 0.322961395315558 |
| The random variable x is : | 1.06913356680841 |
| The random variable x is : | 0.423667598081481 |
| The random variable x is : | 0.715766008872195 |
| The random variable x is : | 0.662568220218263 |
| The random variable x is : | 0.432716832586231 |
| The random variable x is : | 1.21753665603318 |
| The random variable x is : | 1.20870105215395 |
| The random variable x is : | 0.923465842094935 |
| The random variable x is : | 0.358989118173585 |
| The random variable x is : | 0.674105991504774 |
| The random variable x is : | 0.587779679841789 |
| The random variable x is : | 0.461130094698127 |
| The random variable x is : | 1.15337189014041 |
| The random variable x is : | 1.04238103185315 |
| The random variable x is : | 0.849398507090587 |
| The random variable x is : | 0.255291782285541 |
| The random variable x is : | 0.390053174921487 |
| The random variable x is : | 0.899667254061014 |
| The random variable x is : | 0.68390047450401 |
| The random variable x is : | 0.478510580836236 |
| The random variable x is : | 1.24554558019732 |
| The random variable x is : | 1.01533900963499 |
| The random variable x is : | 1.00554230624341 |
| The random variable x is : | 0.356501549839195 |
| The random variable x is : | 0.784808413006046 |
| The random variable x is : | 0.555644780407582 |
| The random variable x is : | 0.688752522515056 |
| The random variable x is : | 0.343082005568376 |
| The random variable x is : | 0.749306606197998 |
| The random variable x is : | 0.863620119548751 |
| The random variable x is : | 0.560620984942045 |
| The random variable x is : | 0.632213550120218 |
| The random variable x is : | 0.349524645482103 |
| The random variable x is : | 0.38897246841004 |
| The random variable x is : | 0.409696140604302 |
| The random variable x is : | 0.629284453858444 |
| The random variable x is : | 0.791122618806142 |
| The random variable x is : | 0.741898886939051 |
| The random variable x is : | 0.635799468919646 |
| The random variable x is : | 0.548411611907489 |
| The random variable x is : | 0.218722414635982 |
| The random variable x is : | 0.561090337267135 |
| The random variable x is : | 0.850369964389469 |
| The random variable x is : | 0.442959045375047 |
| The random variable x is : | 1.07673903810188 |
| The random variable x is : | 0.904315191437782 |
| The random variable x is : | 0.949679678935729 |
| The random variable x is : | 0.967266390668303 |
| The random variable x is : | 0.578228836500341 |
| The random variable x is : | 1.53723120069712 |
| The random variable x is : | 1.16234203261358 |
| The random variable x is : | 1.41359404069013 |
| The random variable x is : | 0.476377989912716 |
| The random variable x is : | 0.447085658033493 |
| The random variable x is : | 0.470399563922899 |
| The random variable x is : | 0.368284213657691 |
| The random variable x is : | 0.5934601509025 |
| The random variable x is : | 0.6538837758909 |
| The random variable x is : | 0.350074761689967 |
| The random variable x is : | 0.79699502433097 |
| The random variable x is : | 0.401320045041853 |
| The random variable x is : | 0.372389145892727 |
| The random variable x is : | 0.536495368806721 |
| The random variable x is : | 1.08262774788325 |
| The random variable x is : | 0.796171442215523 |
| The random variable x is : | 0.699804856929989 |
| The random variable x is : | 0.552059249656544 |
| The random variable x is : | 0.808220266254204 |
| The random variable x is : | 0.639456968354724 |
| The random variable x is : | 0.279774957505655 |
| The random variable x is : | 0.411553205093425 |
| The random variable x is : | 0.54420174598884 |
| The random variable x is : | 0.553318209606419 |
| The random variable x is : | 0.639083234677483 |
| The random variable x is : | 0.425207264188326 |
| The random variable x is : | 0.814488080193496 |
| The random variable x is : | 0.428666385433335 |
| The random variable x is : | 0.686837620072194 |
| The random variable x is : | 0.827282676716466 |
| The random variable x is : | 0.484810625471196 |
| The random variable x is : | 0.747978455176596 |
| The random variable x is : | 0.907654014254422 |
| The random variable x is : | 0.50113689057042 |
| The random variable x is : | 1.54011047843575 |
| The random variable x is : | 0.892673884223302 |
| The random variable x is : | 0.885820141933671 |
| The random variable x is : | 0.222340033967652 |
| The random variable x is : | 0.86627836038339 |
| The random variable x is : | 0.538398323224194 |
| The random variable x is : | 0.869589962211979 |
| The random variable x is : | 0.536167149891456 |
| The random variable x is : | 0.477695624468615 |
| The random variable x is : | 0.300912081274064 |
| The random variable x is : | 0.874733457142583 |
| The random variable x is : | 1.33491537402326 |
| The random variable x is : | 1.40365580747952 |
| The random variable x is : | 1.42533333015083 |
| The random variable x is : | 0.714815752143411 |
| The random variable x is : | 0.996630927639877 |
| The random variable x is : | 1.46440947991911 |
| The random variable x is : | 0.804319421688491 |
| The random variable x is : | 0.829655508427008 |
| The random variable x is : | 0.51267466451243 |
| The random variable x is : | 0.976079529053703 |
| The random variable x is : | 1.30423823694852 |
| The random variable x is : | 0.27901919444256 |
| The random variable x is : | 0.206368694428785 |
| The random variable x is : | 0.8373405798635 |
| The random variable x is : | 0.692691565413424 |
| The random variable x is : | 1.00965549355991 |
| The random variable x is : | 0.317175519239787 |
| The random variable x is : | 0.36762475919306 |
| The random variable x is : | 0.609424673465313 |
| The random variable x is : | 0.633927422066555 |
| The random variable x is : | 0.481496681578541 |
| The random variable x is : | 0.450749572386101 |
| The random variable x is : | 0.92657752069087 |
| The random variable x is : | 0.5012839096856 |
| The random variable x is : | 0.396043959273744 |
| The random variable x is : | 0.144915351114943 |
| The random variable x is : | 1.4866239196205 |
| The random variable x is : | 0.664682685624148 |
| The random variable x is : | 0.600127482054992 |
| The random variable x is : | 0.654926232262601 |
| The random variable x is : | 0.553272959589736 |
| The random variable x is : | 0.536073759343513 |
| The random variable x is : | 0.289687581354082 |
| The random variable x is : | 0.691535731326221 |
| The random variable x is : | 0.73722231748457 |
| The random variable x is : | 0.194692908000899 |
| The random variable x is : | 0.613586031260738 |
| The random variable x is : | 0.431245852628789 |
| The random variable x is : | 0.165484354058805 |
| The random variable x is : | 0.589398859310177 |
| The random variable x is : | 1.61769597048137 |
| The random variable x is : | 0.794984155819464 |
| The random variable x is : | 0.700704225270035 |
| The random variable x is : | 0.689599410376681 |
| The random variable x is : | 0.360561978308629 |
| The random variable x is : | 0.583597806819538 |
| The random variable x is : | 0.573197772110025 |
| The random variable x is : | 0.26353753340383 |
| The random variable x is : | 1.02856998770223 |
| The random variable x is : | 2.12231690600363 |
| The random variable x is : | 0.281988449066144 |
| The random variable x is : | 1.08861517547261 |
| The random variable x is : | 0.650868734317147 |
| The random variable x is : | 0.388968294958329 |
| The random variable x is : | 0.592118337637216 |
| The random variable x is : | 0.699400977658489 |
| The random variable x is : | 1.27279892504144 |
| The random variable x is : | 0.561709888459423 |
| The random variable x is : | 0.567837142587457 |
| The random variable x is : | 1.37160682189875 |
| The random variable x is : | 0.635467018372359 |
| The random variable x is : | 1.56645614133933 |
| The random variable x is : | 0.56140610156705 |
| The random variable x is : | 0.60436177628522 |
| The random variable x is : | 0.443232113507257 |
| The random variable x is : | 0.52005100698665 |
| The random variable x is : | 0.787475021149916 |
| The random variable x is : | 1.12027662859971 |
| The random variable x is : | 0.40437407695253 |
| The random variable x is : | 1.35616966288078 |
| The random variable x is : | 0.575371401537634 |
| The random variable x is : | 1.40801300931684 |
| The random variable x is : | 0.518205223795767 |
| The random variable x is : | 1.14307837701894 |
| The random variable x is : | 0.814149673789674 |
| The random variable x is : | 1.07526379284186 |
| The random variable x is : | 0.557854184065262 |
| The random variable x is : | 0.741610152961271 |
| The random variable x is : | 1.0965036416072 |
| The random variable x is : | 0.536393872166011 |
| The random variable x is : | 1.00085873003416 |
| The random variable x is : | 0.704111570703977 |
| The random variable x is : | 0.531587007207111 |
| The random variable x is : | 0.645400444155117 |
| The random variable x is : | 0.696749536834008 |
| The random variable x is : | 1.13849018309891 |
| The random variable x is : | 1.52592333961679 |
| The random variable x is : | 0.880465858121682 |
| The random variable x is : | 0.653207006499776 |
| The random variable x is : | 0.196220837580044 |
| The random variable x is : | 0.222901708245384 |
| The random variable x is : | 0.374932356962302 |
| The random variable x is : | 1.08662963828606 |
| The random variable x is : | 1.2403495664535 |
| The random variable x is : | 0.496526447756985 |
| The random variable x is : | 0.847253206485421 |
| The random variable x is : | 1.05844663837656 |
| The random variable x is : | 0.433220947089557 |
| The random variable x is : | 0.712914375059121 |
| The random variable x is : | 0.430836391017597 |
| The random variable x is : | 0.756511444395816 |
| The random variable x is : | 1.23516235094194 |
| The random variable x is : | 0.660738696064718 |
| The random variable x is : | 0.465091022006592 |
| The random variable x is : | 1.56512352733889 |
| The random variable x is : | 0.511866511230286 |
| The random variable x is : | 0.740964162431207 |
| The random variable x is : | 0.676327443873998 |
| The random variable x is : | 1.07046504887872 |
| The random variable x is : | 1.02456744550186 |
| The random variable x is : | 0.406643259867173 |
| The random variable x is : | 0.781508679709432 |
| The random variable x is : | 0.783155735536014 |
| The random variable x is : | 0.573774840028775 |
| The random variable x is : | 0.138009735779187 |
| The random variable x is : | 0.551934226921962 |
| The random variable x is : | 0.969207683111551 |
| The random variable x is : | 0.764455579525021 |
| The random variable x is : | 1.06413998517708 |
| The random variable x is : | 0.796241442820542 |
| The random variable x is : | 0.563351585802108 |
| The random variable x is : | 0.500011711207615 |
| The random variable x is : | 1.49833286162143 |
| The random variable x is : | 1.1914149199108 |
| The random variable x is : | 0.438336662870379 |
| The random variable x is : | 0.545027126898169 |
| The random variable x is : | 0.932782172944223 |
| The random variable x is : | 0.710919807583919 |
| The random variable x is : | 0.399541997974108 |
| The random variable x is : | 0.753402775319342 |
| The random variable x is : | 0.838323787905408 |
| The random variable x is : | 0.590111733110911 |
| The random variable x is : | 1.11592626432633 |
| The random variable x is : | 0.371237369957075 |
| The random variable x is : | 1.06500907807387 |
| The random variable x is : | 0.511684237578195 |
| The random variable x is : | 1.11246525132933 |
| The random variable x is : | 0.493125174197927 |
| The random variable x is : | 0.469210055952935 |
| The random variable x is : | 0.528989066233954 |
| The random variable x is : | 0.677437683338869 |
| The random variable x is : | 0.659449280778003 |
| The random variable x is : | 1.29943253105223 |
| The random variable x is : | 0.877257620550898 |
| The random variable x is : | 0.913082166058091 |
| The random variable x is : | 0.650627956485216 |
| The random variable x is : | 0.679782336692694 |
| The random variable x is : | 1.42999028444082 |
| The random variable x is : | 0.783165643807498 |
| The random variable x is : | 0.641692910032163 |
| The random variable x is : | 0.675431283111343 |
| The random variable x is : | 0.238291780856358 |
| The random variable x is : | 0.503458511642702 |
| The random variable x is : | 0.870228576077151 |
| The random variable x is : | 0.811014477560922 |
| The random variable x is : | 0.538111033115051 |
| The random variable x is : | 0.715263832208582 |
| The random variable x is : | 0.80601770272294 |
| The random variable x is : | 0.659966881702789 |
| The random variable x is : | 0.634144979819114 |
| The random variable x is : | 0.787379567425153 |
| The random variable x is : | 0.484434544416663 |
| The random variable x is : | 0.660081500548793 |
| The random variable x is : | 0.67465915955501 |
| The random variable x is : | 0.575994386225191 |
| The random variable x is : | 0.339028474106649 |
| The random variable x is : | 0.443068217514564 |
| The random variable x is : | 0.791108494437606 |
| The random variable x is : | 0.898098609140978 |
| The random variable x is : | 1.90722645462383 |
| The random variable x is : | 0.320006190294649 |
| The random variable x is : | 1.17645596875847 |
| The random variable x is : | 0.622144897781924 |
| The random variable x is : | 0.885373885646486 |
| The random variable x is : | 0.545079880280888 |
| The random variable x is : | 1.29928337541235 |
| The random variable x is : | 0.595980157381621 |
| The random variable x is : | 1.55821000822362 |
| The random variable x is : | 0.963931958073653 |
| The random variable x is : | 0.607600634144869 |
| The random variable x is : | 0.682825463992917 |
| The random variable x is : | 0.887228851846281 |
| The random variable x is : | 0.512698243837022 |
| The random variable x is : | 1.00722980369975 |
| The random variable x is : | 0.525380418234472 |
| The random variable x is : | 0.713699029245454 |
| The random variable x is : | 1.08082478872024 |
| The random variable x is : | 0.794813020814454 |
| The random variable x is : | 0.483214180140715 |
| The random variable x is : | 0.627650105746729 |
| The random variable x is : | 0.497458191528995 |
| The random variable x is : | 0.428532450621211 |
| The random variable x is : | 1.2490697432959 |
| The random variable x is : | 0.909521254854391 |
| The random variable x is : | 1.02745880332097 |
| The random variable x is : | 0.390774615599686 |
| The random variable x is : | 0.929756414093688 |
| The random variable x is : | 0.519021352460098 |
| The random variable x is : | 0.741833748912099 |
| The random variable x is : | 1.37163908929539 |
| The random variable x is : | 0.693415451516733 |
| The random variable x is : | 1.77898777290338 |
| The random variable x is : | 0.301259271600589 |
| The random variable x is : | 0.410492553228765 |
| The random variable x is : | 0.91182691254356 |
| The random variable x is : | 0.625523262432836 |
| The random variable x is : | 0.679175106248199 |
| The random variable x is : | 0.432079075797021 |
| The random variable x is : | 0.56305321475701 |
| The random variable x is : | 0.82483141167164 |
| The random variable x is : | 0.352392049970324 |
| The random variable x is : | 1.41408403705478 |
| The random variable x is : | 1.57235705801383 |
| The random variable x is : | 0.720465895231686 |
| The random variable x is : | 0.792175493897588 |
| The random variable x is : | 1.04076511537776 |
| The random variable x is : | 0.614743099170673 |
| The random variable x is : | 0.523798948177054 |
| The random variable x is : | 1.19286172507286 |
| The random variable x is : | 0.457157235717329 |
| The random variable x is : | 0.624595741414224 |
| The random variable x is : | 0.470091624038775 |
| The random variable x is : | 0.578164044756717 |
| The random variable x is : | 0.813805389959028 |
| The random variable x is : | 0.684413506255359 |
| The random variable x is : | 0.685573913220977 |
| The random variable x is : | 0.909605239676097 |
| The random variable x is : | 0.320121086382659 |
| The random variable x is : | 1.25318816555664 |
| The random variable x is : | 0.526832144097893 |
| The random variable x is : | 1.20407017729604 |
| The random variable x is : | 1.02161262147591 |
| The random variable x is : | 0.551626144769717 |
| The random variable x is : | 1.27878926995924 |
| The random variable x is : | 0.497639424135455 |
| The random variable x is : | 1.50141385126586 |
| The random variable x is : | 0.912881527982906 |
| The random variable x is : | 0.788252352857287 |
| The random variable x is : | 0.715759572895145 |
| The random variable x is : | 0.695492755989036 |
| The random variable x is : | 0.732865515917135 |
| The random variable x is : | 0.345460103269689 |
| The random variable x is : | 0.502631213633806 |
| The random variable x is : | 0.416076725402314 |
| The random variable x is : | 1.29898028499143 |
| The random variable x is : | 1.30544645124926 |
| The random variable x is : | 0.898028754757668 |
| The random variable x is : | 0.739039407132483 |
| The random variable x is : | 1.14773328975587 |
| The random variable x is : | 1.15956157068976 |
| The random variable x is : | 1.2130835840166 |
| The random variable x is : | 0.239676505694359 |
| The random variable x is : | 0.496158795836382 |
| The random variable x is : | 0.521113965235675 |
| The random variable x is : | 0.198457714706877 |
| The random variable x is : | 0.467852261720212 |
| The random variable x is : | 0.252550120809535 |
| The random variable x is : | 0.546064863263722 |
| The random variable x is : | 0.375891670325738 |
| The random variable x is : | 0.578978121457956 |
| The random variable x is : | 0.349639857392082 |
| The random variable x is : | 0.679796638774391 |
| The random variable x is : | 0.698467212736901 |
| The random variable x is : | 0.484824848464869 |
| The random variable x is : | 0.39757516917299 |
| The random variable x is : | 0.850227874392766 |
| The random variable x is : | 0.543166489145643 |
| The random variable x is : | 1.05433997445796 |
| The random variable x is : | 0.952837638797193 |
| The random variable x is : | 0.226219069805774 |
| The random variable x is : | 0.432999818013586 |
| The random variable x is : | 0.688994754846225 |
| The random variable x is : | 0.501319030514508 |
| The random variable x is : | 1.36855021285727 |
| The random variable x is : | 1.50103235765536 |
| The random variable x is : | 0.676457126343664 |
| The random variable x is : | 0.372495856021492 |
| The random variable x is : | 0.949150327171148 |
| The random variable x is : | 0.999462524025459 |
| The random variable x is : | 0.673794634622002 |
| The random variable x is : | 1.44301733745247 |
| The random variable x is : | 0.91272815534326 |
| The random variable x is : | 0.418363785073703 |
| The random variable x is : | 1.04044744570665 |
| The random variable x is : | 0.608392815452029 |
| The random variable x is : | 0.805666729146802 |
| The random variable x is : | 0.53834368547504 |
| The random variable x is : | 0.762221681147312 |
| The random variable x is : | 0.584221411936961 |
| The random variable x is : | 0.797604051876957 |
| The random variable x is : | 0.637014890692475 |
| The random variable x is : | 1.53046181379006 |
| The random variable x is : | 0.557646946671311 |
| The random variable x is : | 1.73129600762885 |
| The random variable x is : | 0.746960886307516 |
| The random variable x is : | 0.73859765566164 |
| The random variable x is : | 1.25825871577353 |
| The random variable x is : | 0.743509486326423 |
| The random variable x is : | 0.382509882781487 |
| The random variable x is : | 1.29945446896966 |
| The random variable x is : | 0.693086908642314 |
| The random variable x is : | 0.597070143407686 |
| The random variable x is : | 0.547802609220794 |
| The random variable x is : | 0.682116072595058 |
| The random variable x is : | 0.837485375445812 |
| The random variable x is : | 0.558521498032636 |
| The random variable x is : | 0.486534898447829 |
| The random variable x is : | 0.45652883805884 |
| The random variable x is : | 0.851185173928949 |
| The random variable x is : | 0.406685973295116 |
| The random variable x is : | 1.18989236556915 |
| The random variable x is : | 1.36790189181363 |
| The random variable x is : | 0.230386070469109 |
| The random variable x is : | 1.82042177924396 |
| The random variable x is : | 0.199863240850584 |
| The random variable x is : | 0.521631376672162 |
| The random variable x is : | 0.515323467985821 |
| The random variable x is : | 0.304338598456777 |
| The random variable x is : | 0.525074854934419 |
| The random variable x is : | 1.31585485452855 |
| The random variable x is : | 0.890182887982618 |
| The random variable x is : | 1.09246025050287 |
| The random variable x is : | 1.43330241568862 |
| The random variable x is : | 0.725082173873252 |
| The random variable x is : | 0.719564676589712 |
| The random variable x is : | 0.480677962626643 |
| The random variable x is : | 0.363499472308279 |
| The random variable x is : | 0.270157838429767 |
| The random variable x is : | 0.759876721137599 |
| The random variable x is : | 0.769442022544729 |
| The random variable x is : | 0.582613267603407 |
| The random variable x is : | 0.621529131532584 |
| The random variable x is : | 1.00635531580128 |
| The random variable x is : | 0.711671939144392 |
| The random variable x is : | 0.547930092275586 |
| The random variable x is : | 1.04748939814832 |
| The random variable x is : | 0.835215021563878 |
| The random variable x is : | 0.855490479846897 |
| The random variable x is : | 0.877759409478976 |
| The random variable x is : | 1.01086564343139 |
| The random variable x is : | 0.60994384161259 |
| The random variable x is : | 0.337808789586116 |
| The random variable x is : | 0.577267947313141 |
| The random variable x is : | 0.462062719616747 |
| The random variable x is : | 0.592851700641684 |
| The random variable x is : | 0.535897193570473 |
| The random variable x is : | 0.602000382674157 |
| The random variable x is : | 0.819049802118871 |
| The random variable x is : | 0.975654534469718 |
| The random variable x is : | 0.936576678004113 |
| The random variable x is : | 0.535223199931452 |
| The random variable x is : | 0.581548043948583 |
| The random variable x is : | 0.695169845438606 |
| The random variable x is : | 0.687459231866436 |
| The random variable x is : | 1.26578356975665 |
| The random variable x is : | 0.639210787112346 |
| The random variable x is : | 1.03603441435263 |
| The random variable x is : | 0.760383125578353 |
| The random variable x is : | 1.41006048899538 |
| The random variable x is : | 0.662242626211004 |
| The random variable x is : | 1.23889623025021 |
| The random variable x is : | 1.14319195063601 |
| The random variable x is : | 0.706353899108355 |
| The random variable x is : | 0.638485378048171 |
| The random variable x is : | 0.818128685923507 |
| The random variable x is : | 0.522870991520463 |
| The random variable x is : | 0.283595999796325 |
| The random variable x is : | 0.884387086797366 |
| The random variable x is : | 0.546149079484405 |
| The random variable x is : | 0.475820936045902 |
| The random variable x is : | 1.08776487794534 |
| The random variable x is : | 0.656272838587506 |
| The random variable x is : | 0.699850565972208 |
| The random variable x is : | 0.254833046872 |
| The random variable x is : | 0.644402780705843 |
| The random variable x is : | 0.926239675379987 |
| The random variable x is : | 0.460851961600505 |
| The random variable x is : | 0.306242473452209 |
| The random variable x is : | 0.413244074628733 |
| The random variable x is : | 0.299345087469671 |
| The random variable x is : | 0.97332738137697 |
| The random variable x is : | 0.306534638869672 |
| The random variable x is : | 0.624012638998164 |
| The random variable x is : | 0.719170453604608 |
| The random variable x is : | 0.74332442914546 |
| The random variable x is : | 0.452071015019704 |
| The random variable x is : | 0.650056399690768 |
| The random variable x is : | 0.770593369133443 |
| The random variable x is : | 0.37962921379846 |
| The random variable x is : | 1.09902178797009 |
| The random variable x is : | 0.439723884108783 |
| The random variable x is : | 0.520452913353949 |
| The random variable x is : | 0.822643251528769 |
| The random variable x is : | 0.484636232103907 |
| The random variable x is : | 1.14487991551779 |
| The random variable x is : | 0.990797583952517 |
| The random variable x is : | 0.764347837793298 |
| The random variable x is : | 0.702159972227116 |
| The random variable x is : | 1.04472070706484 |
| The random variable x is : | 0.355021187693381 |
| The random variable x is : | 0.414143391346056 |
| The random variable x is : | 0.559586552292044 |
| The random variable x is : | 0.439407514316855 |
| The random variable x is : | 1.01588022378565 |
| The random variable x is : | 0.624520389856928 |
| The random variable x is : | 0.425005796067084 |
| The random variable x is : | 0.749073477452401 |
| The random variable x is : | 0.694871608651167 |
| The random variable x is : | 1.0326524604241 |
| The random variable x is : | 0.654671727007459 |
| The random variable x is : | 0.816484922131815 |
| The random variable x is : | 0.468969899943635 |
| The random variable x is : | 0.848528087895685 |
| The random variable x is : | 1.28855167567689 |
| The random variable x is : | 0.565993263985605 |
| The random variable x is : | 0.851216333687412 |
| The random variable x is : | 0.417500756160055 |
| The random variable x is : | 0.701454607109169 |
| The random variable x is : | 0.779088734679423 |
| The random variable x is : | 0.699805930416944 |
| The random variable x is : | 1.38815091700484 |
| The random variable x is : | 0.669394079423331 |
| The random variable x is : | 0.577694673094922 |
| The random variable x is : | 0.669387861375151 |
| The random variable x is : | 0.834297454154625 |
| The random variable x is : | 0.374906431501297 |
| The random variable x is : | 1.03221444391053 |
| The random variable x is : | 0.391814135145379 |
| The random variable x is : | 0.301114984011928 |
| The random variable x is : | 0.700248064032382 |
| The random variable x is : | 0.440507365687102 |
| The random variable x is : | 0.941681432631396 |
| The random variable x is : | 0.457840761434017 |
| The random variable x is : | 0.931222415314756 |
| The random variable x is : | 0.692092990684331 |
| The random variable x is : | 0.55182620439616 |
| The random variable x is : | 0.905849123016282 |
| The random variable x is : | 0.695935628123186 |
| The random variable x is : | 0.347356051377064 |
| The random variable x is : | 0.803653507966595 |
| The random variable x is : | 0.446556596561082 |
| The random variable x is : | 0.860120932760929 |
| The random variable x is : | 0.445848240788682 |
| The random variable x is : | 0.527975809294191 |
| The random variable x is : | 0.366464141341914 |
| The random variable x is : | 1.018779607405 |
| The random variable x is : | 0.64628908204187 |
| The random variable x is : | 1.04424180892084 |
| The random variable x is : | 0.864764150674024 |
| The random variable x is : | 0.97887386716168 |
| The random variable x is : | 0.795199064586051 |
| The random variable x is : | 0.877954810729241 |
| The random variable x is : | 0.773929332928622 |
| The random variable x is : | 0.452807412640468 |
| The random variable x is : | 0.916078865224163 |
| The random variable x is : | 1.0830992688139 |
| The random variable x is : | 1.80509527363568 |
| The random variable x is : | 0.684148960619696 |
| The random variable x is : | 1.15749695632212 |
| The random variable x is : | 0.582742397381946 |
| The random variable x is : | 0.383805970087866 |
| The random variable x is : | 0.672471128102819 |
| The random variable x is : | 0.804512458582213 |
| The random variable x is : | 0.438875814426412 |
| The random variable x is : | 0.6564090309672 |
| The random variable x is : | 0.675680685096855 |
| The random variable x is : | 0.869125756767499 |
| The random variable x is : | 0.739772306059242 |
| The random variable x is : | 0.779751751356947 |
| The random variable x is : | 0.372078576091728 |
| The random variable x is : | 0.664280566557765 |
| The random variable x is : | 0.380749143871931 |
| The random variable x is : | 0.995720220266019 |
| The random variable x is : | 0.740327380455411 |
| The random variable x is : | 0.78967466355431 |
| The random variable x is : | 1.48679820494259 |
| The random variable x is : | 0.313709490306439 |
| The random variable x is : | 0.576990054239158 |
| The random variable x is : | 0.428467387655427 |
| The random variable x is : | 1.00204912113491 |
| The random variable x is : | 0.38541543691457 |
| The random variable x is : | 0.807000472113897 |
| The random variable x is : | 0.286553471384105 |
| The random variable x is : | 1.09894907492888 |
| The random variable x is : | 0.369395368496609 |
| The random variable x is : | 0.70567674942583 |
| The random variable x is : | 1.00169017609259 |
| The random variable x is : | 0.517498632160785 |
| The random variable x is : | 0.936374138098474 |
| The random variable x is : | 0.855257837494511 |
| The random variable x is : | 1.10071210289407 |
| The random variable x is : | 0.396827861354664 |
| The random variable x is : | 0.718937428195087 |
| The random variable x is : | 1.28798637284404 |
| The random variable x is : | 0.942918835648536 |
| The random variable x is : | 0.410924753257691 |
| The random variable x is : | 0.656192877459412 |
| The random variable x is : | 0.666200352237196 |
| The random variable x is : | 0.378361472085619 |
| The random variable x is : | 0.594907715326837 |
| The random variable x is : | 0.629325441369774 |
| The random variable x is : | 0.592672667018253 |
| The random variable x is : | 0.62567344709248 |
| The random variable x is : | 0.641807487697965 |
| The random variable x is : | 0.624952350622725 |
| The random variable x is : | 0.505952751118552 |
| The random variable x is : | 0.279499157958601 |
| The random variable x is : | 0.646234899334666 |
| The random variable x is : | 0.35269443745834 |
| The random variable x is : | 1.05119705426915 |
| The random variable x is : | 1.3056416756252 |
| The random variable x is : | 0.382898119691474 |
| The random variable x is : | 0.511196469690093 |
| The random variable x is : | 0.451196512696322 |
| The random variable x is : | 1.0543834044233 |
| The random variable x is : | 0.955691156982766 |
| The random variable x is : | 0.658604437599807 |
| The random variable x is : | 0.59572173223381 |
| The random variable x is : | 0.572321307763765 |
| The random variable x is : | 1.28254711808859 |
| The random variable x is : | 0.499371532052423 |
| The random variable x is : | 0.503152193194042 |
| The random variable x is : | 0.418058025361548 |
| The random variable x is : | 0.711236479682555 |
| The random variable x is : | 0.589315695592923 |
| The random variable x is : | 0.581396431370851 |
| The random variable x is : | 0.392110830387963 |
| The random variable x is : | 1.3839801591282 |
| The random variable x is : | 0.996389291867092 |
| The random variable x is : | 1.05390429105971 |
| The random variable x is : | 0.957592376867091 |
| The random variable x is : | 0.811026044057589 |
| The random variable x is : | 0.412425940029845 |
| The random variable x is : | 0.272085749036027 |
| The random variable x is : | 0.789153333185416 |
| The random variable x is : | 0.33019587696747 |
| The random variable x is : | 0.536260078257604 |
| The random variable x is : | 0.419036976233486 |
| The random variable x is : | 0.463931876217868 |
| The random variable x is : | 0.718669204324641 |
| The random variable x is : | 0.511937306410623 |
| The random variable x is : | 0.628794726925203 |
| The random variable x is : | 0.434836516462659 |
| The random variable x is : | 0.326654908663411 |
| The random variable x is : | 0.72885262474942 |
| The random variable x is : | 0.350757761666046 |
| The random variable x is : | 0.919180893998056 |
| The random variable x is : | 0.282853389361859 |
| The random variable x is : | 0.438147825729405 |
| The random variable x is : | 0.877122755941543 |
| The random variable x is : | 0.988389676816024 |
| The random variable x is : | 0.366085563577032 |
| The random variable x is : | 0.773327826694801 |
| The random variable x is : | 0.502289075339641 |
| The random variable x is : | 0.355455858472719 |
| The random variable x is : | 0.866506136792469 |
| The random variable x is : | 0.70762716116659 |
| The random variable x is : | 0.235077394797111 |
| The random variable x is : | 0.328437956921523 |
| The random variable x is : | 0.752460425747641 |
| The random variable x is : | 0.472387241844008 |
| The random variable x is : | 0.660652472484106 |
| The random variable x is : | 0.658071372097571 |
| The random variable x is : | 0.943552591919657 |
| The random variable x is : | 0.745577688170031 |
| The random variable x is : | 0.427049117264012 |
| The random variable x is : | 1.11990444303676 |
| The random variable x is : | 0.429121920415335 |
| The random variable x is : | 1.07987201844156 |
| The random variable x is : | 0.658528142810061 |
| The random variable x is : | 0.860658755726891 |
| The random variable x is : | 0.57145923573356 |
| The random variable x is : | 0.568926553139568 |
| The random variable x is : | 0.62984198808366 |
| The random variable x is : | 0.217126647128367 |
| The random variable x is : | 0.983471565286851 |
| The random variable x is : | 0.515997482350196 |
| The random variable x is : | 0.296425930091626 |
| The random variable x is : | 0.954331532490362 |
| The random variable x is : | 0.630994775784465 |
| The random variable x is : | 0.668176385232844 |
| The random variable x is : | 0.68555847873446 |
| The random variable x is : | 0.691772973455439 |
| The random variable x is : | 0.957815118092169 |
| The random variable x is : | 0.747244655214565 |
| The random variable x is : | 0.805753254221684 |
| The random variable x is : | 0.722550569480659 |
| The random variable x is : | 1.09061136499734 |
| The random variable x is : | 0.856902607800163 |
| The random variable x is : | 0.571821274592546 |
| The random variable x is : | 0.224108526212618 |
| The random variable x is : | 1.01744486789766 |
| The random variable x is : | 0.499399825951849 |
| The random variable x is : | 1.1631579539469 |
| The random variable x is : | 0.349626674126195 |
| The random variable x is : | 0.394473443642415 |
| The random variable x is : | 0.896826607248104 |
| The random variable x is : | 0.57182886204125 |
| The random variable x is : | 0.803970498944672 |
| The random variable x is : | 1.3514470206027 |
| The random variable x is : | 0.976219033247469 |
| The random variable x is : | 0.909156128948397 |
| The random variable x is : | 0.527494349617932 |
| The random variable x is : | 0.336108981473428 |
| The random variable x is : | 0.395099646229448 |
| The random variable x is : | 0.535613265636535 |
| The random variable x is : | 0.907059179120148 |
| The random variable x is : | 0.898522040851525 |
| The random variable x is : | 0.216566663797482 |
| The random variable x is : | 0.506110272499785 |
| The random variable x is : | 1.19067909122081 |
| The random variable x is : | 0.570983770793625 |
| The random variable x is : | 1.66299356967682 |
| The random variable x is : | 1.3664150733885 |
| The random variable x is : | 0.616272217083062 |
| The random variable x is : | 0.889430557218126 |
| The random variable x is : | 0.527242941654452 |
| The random variable x is : | 0.825802341231927 |
| The random variable x is : | 0.546858732729596 |
| The random variable x is : | 0.749215414867967 |
| The random variable x is : | 0.506833340180232 |
| The random variable x is : | 1.03255928985395 |
| The random variable x is : | 0.297519901358954 |
| The random variable x is : | 0.381688480164462 |
| The random variable x is : | 0.535117723667756 |
| The random variable x is : | 0.298787914656496 |
| The random variable x is : | 0.582992343331464 |
| The random variable x is : | 0.533284508974687 |
| The random variable x is : | 0.304180028375632 |
| The random variable x is : | 0.418181594223445 |
| The random variable x is : | 0.865442644806872 |
| The random variable x is : | 0.567402921496856 |
| The random variable x is : | 0.223406629153905 |
| The random variable x is : | 0.555587335190157 |
| The random variable x is : | 1.419526037551 |
| The random variable x is : | 0.534072758461081 |
| The random variable x is : | 0.907064201062648 |
| The random variable x is : | 0.797658446314379 |
| The random variable x is : | 0.686222056160037 |
| The random variable x is : | 0.89597708210695 |
| The random variable x is : | 0.739670975757722 |
| The random variable x is : | 0.443843902465424 |
| The random variable x is : | 0.922372299195098 |
| The random variable x is : | 0.934546394538836 |
| The random variable x is : | 0.931753143220286 |
| The random variable x is : | 0.809747270398299 |
| The random variable x is : | 0.378662828703968 |
| The random variable x is : | 0.416637713011605 |
| The random variable x is : | 0.861945212437538 |
| The random variable x is : | 0.56264206556742 |
| The random variable x is : | 0.512578434098134 |
| The random variable x is : | 0.46709937741102 |
| The random variable x is : | 1.02448932019664 |
| The random variable x is : | 0.268527631163562 |
| The random variable x is : | 0.236575108002582 |
| The random variable x is : | 1.7284531092429 |
| The random variable x is : | 0.521062970209869 |
| The random variable x is : | 0.829865410166194 |
| The random variable x is : | 1.26520026634008 |
| The random variable x is : | 0.325184522380106 |
| The random variable x is : | 1.0082627334136 |
| The random variable x is : | 0.165314644148709 |
| The random variable x is : | 0.534399989257118 |
| The random variable x is : | 0.587062070469528 |
| The random variable x is : | 0.489430248710759 |
| The random variable x is : | 0.538901376571453 |
| The random variable x is : | 0.824800567930913 |
| The random variable x is : | 0.341772130356082 |
| The random variable x is : | 0.947182110614436 |
| The random variable x is : | 0.718138282646369 |
| The random variable x is : | 0.923760416495402 |
| The random variable x is : | 0.858388215844503 |
| The random variable x is : | 0.650120432164971 |
| The random variable x is : | 0.482012820683307 |
| The random variable x is : | 0.345366447378236 |
| The random variable x is : | 1.49338789938756 |
| The random variable x is : | 0.285618871517226 |
| The random variable x is : | 0.592993621438662 |
| The random variable x is : | 0.557337091072173 |
| The random variable x is : | 0.648981619957752 |
| The random variable x is : | 0.614309490379462 |
| The random variable x is : | 0.656274483494408 |
| The random variable x is : | 0.822012067458116 |
| The random variable x is : | 0.641007142918941 |
| The random variable x is : | 0.733812834686182 |
| The random variable x is : | 0.35265161068542 |
| The random variable x is : | 0.680877584006652 |
| The random variable x is : | 0.650455962047618 |
| The random variable x is : | 0.233917521110102 |
| The random variable x is : | 0.77560716582002 |
| The random variable x is : | 0.693714842528819 |
| The random variable x is : | 0.732072618085962 |
| The random variable x is : | 0.268675116733644 |
| The random variable x is : | 0.838636896090118 |
| The random variable x is : | 1.67798616335211 |
| The random variable x is : | 0.964309146721108 |
| The random variable x is : | 0.5877749931439 |
| The random variable x is : | 0.624485632327283 |
| The random variable x is : | 0.694261961968118 |
| The random variable x is : | 1.55176904685786 |
| The random variable x is : | 1.0263761004348 |
| The random variable x is : | 0.866246983852651 |
| The random variable x is : | 0.398620562020301 |
| The random variable x is : | 0.494183885095715 |
| The random variable x is : | 1.15741300666575 |
| The random variable x is : | 0.910313702090403 |
| The random variable x is : | 0.41309265328854 |
| The random variable x is : | 0.546081675914649 |
| The random variable x is : | 0.800111276799001 |
| The random variable x is : | 0.338926564062538 |
| The random variable x is : | 0.23269830126775 |
| The random variable x is : | 1.0188193753576 |
| The random variable x is : | 1.1551133139909 |
| The random variable x is : | 1.42968213242068 |
| The random variable x is : | 0.807261392566127 |
| The random variable x is : | 1.21132865188378 |
| The random variable x is : | 0.671095312155693 |
| The random variable x is : | 0.387382157008625 |
| The random variable x is : | 1.03170671502522 |
| The random variable x is : | 1.27903161202478 |
| The random variable x is : | 0.757661886685146 |
| The random variable x is : | 0.919129478004931 |
| The random variable x is : | 0.483455092894508 |
| The random variable x is : | 0.577322649897816 |
| The random variable x is : | 0.804677352084644 |
| The random variable x is : | 0.852775454689978 |
| The random variable x is : | 0.507157529731176 |
| The random variable x is : | 0.959250355409114 |
| The random variable x is : | 0.675613116448949 |
| The random variable x is : | 0.793332985965328 |
| The random variable x is : | 0.644350680738298 |
| The random variable x is : | 1.13420823786268 |
| The random variable x is : | 0.369535375921008 |
| The random variable x is : | 0.366444454602826 |
| The random variable x is : | 0.886487573980248 |
| The random variable x is : | 0.217530659401258 |
| The random variable x is : | 1.08062542391286 |
| The random variable x is : | 0.47111589468158 |
| The random variable x is : | 0.502046272191518 |
| The random variable x is : | 0.701766037840346 |
| The random variable x is : | 1.79000567661026 |
| The random variable x is : | 0.594236794445109 |
| The random variable x is : | 1.33899714406795 |
| The random variable x is : | 0.453905336571739 |
| The random variable x is : | 0.793262815698278 |
| The random variable x is : | 0.291472990214928 |
| The random variable x is : | 0.40227524457605 |
| The random variable x is : | 0.335789699572931 |
| The random variable x is : | 0.471950598779789 |
| The random variable x is : | 0.494544190047693 |
| The random variable x is : | 0.605529753975982 |
| The random variable x is : | 0.30519494944943 |
| The random variable x is : | 0.274970686102909 |
| The random variable x is : | 0.439484051554001 |
| The random variable x is : | 0.450625958607151 |
| The random variable x is : | 0.87309353807513 |
| The random variable x is : | 0.498920362851781 |
| The random variable x is : | 0.63888076609691 |
| The random variable x is : | 0.438718444108935 |
| The random variable x is : | 0.381777130310289 |
| The random variable x is : | 0.359812032502772 |
| The random variable x is : | 0.465134818554906 |
| The random variable x is : | 0.532468026170205 |
| The random variable x is : | 0.671929619743299 |
| The random variable x is : | 0.678167091164446 |
| The random variable x is : | 0.744192685922474 |
| The random variable x is : | 0.933400446049903 |
| The random variable x is : | 0.678905698239898 |
| The random variable x is : | 1.67355875677202 |
| The random variable x is : | 0.58382350862638 |
| The random variable x is : | 0.289220951699842 |
| The random variable x is : | 0.578475037256992 |
| The random variable x is : | 1.66439253992145 |
| The random variable x is : | 0.952412447225374 |
| The random variable x is : | 0.919712023218986 |
| The random variable x is : | 0.276430881195859 |
| The random variable x is : | 0.474384843239321 |
| The random variable x is : | 1.63981879197404 |
| The random variable x is : | 0.752917124228465 |
| The random variable x is : | 0.406075907798051 |
| The random variable x is : | 0.294300094911433 |
| The random variable x is : | 0.646303881928624 |
| The random variable x is : | 0.808439615266388 |
| The random variable x is : | 0.626699857563431 |
| The random variable x is : | 1.76127652786846 |
| The random variable x is : | 0.788699088477268 |
| The random variable x is : | 0.576812002696666 |
| The random variable x is : | 0.424317441639627 |
| The random variable x is : | 0.419591814379933 |
| The random variable x is : | 0.472126564027183 |
| The random variable x is : | 1.03162629215016 |
| The random variable x is : | 0.544838577796145 |
| The random variable x is : | 0.965711644570245 |
| The random variable x is : | 0.309092791580262 |
| The random variable x is : | 0.577036206970495 |
| The random variable x is : | 1.63559926614703 |
| The random variable x is : | 1.28875148086612 |
| The random variable x is : | 0.601394080665616 |
| The random variable x is : | 1.44709024441315 |
| The random variable x is : | 0.505903153600403 |
| The random variable x is : | 0.866782427505556 |
| The random variable x is : | 0.571701362621857 |
| The random variable x is : | 1.27882393682808 |
| The random variable x is : | 0.553081504901064 |
| The random variable x is : | 1.51707432914151 |
| The random variable x is : | 1.06730722499846 |
| The random variable x is : | 0.933487667776944 |
| The random variable x is : | 0.600428690866817 |
| The random variable x is : | 0.444229374271546 |
| The random variable x is : | 0.653629137320025 |
| The random variable x is : | 1.27269225461211 |
| The random variable x is : | 0.832045764811831 |
| The random variable x is : | 0.904285437531658 |
| The random variable x is : | 0.937926813155046 |
| The random variable x is : | 0.450596453623178 |
| The random variable x is : | 0.854353549886115 |
| The random variable x is : | 0.525308670660455 |
| The random variable x is : | 0.652829664044472 |
| The random variable x is : | 0.763501157852757 |
| The random variable x is : | 0.575464029093304 |
| The random variable x is : | 0.890199427383983 |
| The random variable x is : | 1.34723633849126 |
| The random variable x is : | 0.917612718098854 |
| The random variable x is : | 0.698057721481637 |
| The random variable x is : | 0.831920525878805 |
| The random variable x is : | 1.37373959707369 |
| The random variable x is : | 0.626449782364907 |
| The random variable x is : | 1.0599603197802 |
| The random variable x is : | 1.10367752307531 |
| The random variable x is : | 0.864031283835132 |
| The random variable x is : | 0.686274961890853 |
| The random variable x is : | 0.627414764154861 |
| The random variable x is : | 0.995601331625916 |
| The random variable x is : | 0.395453562284392 |
| The random variable x is : | 0.742013675635434 |
| The random variable x is : | 1.5633443169166 |
| The random variable x is : | 0.545693516987521 |
| The random variable x is : | 1.0527057136973 |
| The random variable x is : | 0.792607611669593 |
| The random variable x is : | 0.670803156286954 |
| The random variable x is : | 0.593283811281628 |
| The random variable x is : | 0.636065476525847 |
| The random variable x is : | 1.20381462898211 |
| The random variable x is : | 0.58884729242481 |
| The random variable x is : | 0.576498344262381 |
| The random variable x is : | 0.451905772918421 |
| The random variable x is : | 0.612399877355453 |
| The random variable x is : | 1.56166428279842 |
| The random variable x is : | 1.11153213488841 |
| The random variable x is : | 0.868527143481576 |
| The random variable x is : | 1.13487086443972 |
| The random variable x is : | 0.80586145184313 |
| The random variable x is : | 0.377006529729514 |
| The random variable x is : | 0.489618469717757 |
| The random variable x is : | 0.469419932349593 |
| The random variable x is : | 0.350021137885576 |
| The random variable x is : | 0.183007791832607 |
| The random variable x is : | 0.524096551991953 |
| The random variable x is : | 0.88122580154504 |
| The random variable x is : | 0.961178309472514 |
| The random variable x is : | 0.263618252468969 |
| The random variable x is : | 0.73075770810423 |
| The random variable x is : | 0.577631584574079 |
| The random variable x is : | 0.972400306530855 |
| The random variable x is : | 0.872142384150317 |
| The random variable x is : | 0.793959841189884 |
| The random variable x is : | 0.322941302206304 |
| The random variable x is : | 0.513099113381076 |
| The random variable x is : | 1.24962861412781 |
| The random variable x is : | 0.537340048898863 |
| The random variable x is : | 1.27410767909724 |
| The random variable x is : | 0.977853099279158 |
| The random variable x is : | 1.23081278773576 |
| The random variable x is : | 0.684131250492289 |
| The random variable x is : | 0.780839560536908 |
| The random variable x is : | 0.363148511202756 |
| The random variable x is : | 0.890672100126359 |
| The random variable x is : | 1.23729424704378 |
| The random variable x is : | 0.428849613297872 |
| The random variable x is : | 0.668304845542952 |
| The random variable x is : | 0.909133442291693 |
| The random variable x is : | 0.33186074569807 |
| The random variable x is : | 0.166877695179421 |
| The random variable x is : | 0.697462385646978 |
| The random variable x is : | 0.861577141133564 |
| The random variable x is : | 0.750832180735188 |
| The random variable x is : | 0.867511558510471 |
| The random variable x is : | 0.487579897944398 |
| The random variable x is : | 0.704793752187469 |
| The random variable x is : | 1.1272499211275 |
| The random variable x is : | 0.820976927916063 |
| The random variable x is : | 1.14571944428501 |
| The random variable x is : | 1.04525421256739 |
| The random variable x is : | 1.04768078676879 |
| The random variable x is : | 0.491297691584456 |
| The random variable x is : | 1.62167974469014 |
| The random variable x is : | 0.992883479927004 |
| The random variable x is : | 0.403347229982673 |
| The random variable x is : | 0.688826778169802 |
| The random variable x is : | 0.70267233371654 |
| The random variable x is : | 0.837012870517995 |
| The random variable x is : | 1.07895830912612 |
| The random variable x is : | 0.932003653797011 |
| The random variable x is : | 0.533849607143474 |
| The random variable x is : | 0.597387935737286 |
| The random variable x is : | 0.779040049799612 |
| The random variable x is : | 1.15993132543058 |
| The random variable x is : | 0.379152674499674 |
| The random variable x is : | 0.810801683447206 |
| The random variable x is : | 0.264190618092491 |
| The random variable x is : | 0.625488572338686 |
| The random variable x is : | 0.529244672448389 |
| The random variable x is : | 0.368700123127822 |
| The random variable x is : | 0.728371821760566 |
| The random variable x is : | 0.683167573624581 |
| The random variable x is : | 0.792914762709298 |
| The random variable x is : | 0.706701385957956 |
| The random variable x is : | 1.38001237647958 |
| The random variable x is : | 0.878115442834244 |
| The random variable x is : | 1.16278894739523 |
| The random variable x is : | 0.549853144807804 |
| The random variable x is : | 0.41995094617649 |
| The random variable x is : | 0.616887818200431 |
| The random variable x is : | 0.967992466750401 |
| The random variable x is : | 0.695106430351138 |
| The random variable x is : | 0.637005203934416 |
| The random variable x is : | 0.694619217572217 |
| The random variable x is : | 1.17495752343674 |
| The random variable x is : | 0.740808146239873 |
| The random variable x is : | 0.498661923942058 |
| The random variable x is : | 0.679036483431481 |
| The random variable x is : | 0.398740636580673 |
| The random variable x is : | 0.878546474060172 |
| The random variable x is : | 0.24460712065172 |
| The random variable x is : | 0.207789725362358 |
| The random variable x is : | 0.507050227691703 |
| The random variable x is : | 1.05467926449574 |
| The random variable x is : | 0.691358802493289 |
| The random variable x is : | 1.25191548692434 |
| The random variable x is : | 1.00303514282678 |
| The random variable x is : | 0.514588358435911 |
| The random variable x is : | 0.685732398446988 |
| The random variable x is : | 0.705548963638507 |
| The random variable x is : | 0.375891221302959 |
| The random variable x is : | 0.819963437956218 |
| The random variable x is : | 0.701777011724682 |
| The random variable x is : | 1.12342385691391 |
| The random variable x is : | 0.511064657173318 |
| The random variable x is : | 0.820599046722901 |
| The random variable x is : | 0.563648704945368 |
| The random variable x is : | 0.503399002774208 |
| The random variable x is : | 1.57774854828212 |
| The random variable x is : | 0.692933029833682 |
| The random variable x is : | 0.346454073440767 |
| The random variable x is : | 0.46478308147889 |
| The random variable x is : | 1.50326466784553 |
| The random variable x is : | 0.790518550850507 |
| The random variable x is : | 0.309705781312224 |
| The random variable x is : | 0.573809432158003 |
| The random variable x is : | 1.18307532436497 |
| The random variable x is : | 0.54738980838107 |
| The random variable x is : | 0.85155689085803 |
| The random variable x is : | 0.610615093441761 |
| The random variable x is : | 0.495676237723853 |
| The random variable x is : | 0.869884164472353 |
| The random variable x is : | 0.851096860612648 |
| The random variable x is : | 0.735444022504635 |
| The random variable x is : | 0.698492279914258 |
| The random variable x is : | 1.15036945579052 |
| The random variable x is : | 0.720289960685776 |
| The random variable x is : | 0.579792915582924 |
| The random variable x is : | 0.640113016264982 |
| The random variable x is : | 0.88613830590946 |
| The random variable x is : | 0.436337439098269 |
| The random variable x is : | 0.344548676493576 |
| The random variable x is : | 0.581022142197134 |
| The random variable x is : | 0.326186326958546 |
| The random variable x is : | 0.693249678792768 |
| The random variable x is : | 0.648122428884333 |
| The random variable x is : | 0.658784614767974 |
| The random variable x is : | 1.10287418483783 |
| The random variable x is : | 0.751252042361646 |
| The random variable x is : | 0.364964279437969 |
| The random variable x is : | 0.922117515190336 |
| The random variable x is : | 0.973717208377471 |
| The random variable x is : | 0.843409307510199 |
| The random variable x is : | 0.65698382765468 |
| The random variable x is : | 1.62214081533805 |
| The random variable x is : | 0.357194061269321 |
| The random variable x is : | 0.354344691050285 |
| The random variable x is : | 0.277304669748614 |
| The random variable x is : | 0.705504695142469 |
| The random variable x is : | 0.73216360306734 |
| The random variable x is : | 1.35075959802847 |
| The random variable x is : | 1.17434316384953 |
| The random variable x is : | 0.380439910601679 |
| The random variable x is : | 0.67068660272584 |
| The random variable x is : | 0.871546157686184 |
| The random variable x is : | 0.469641590859462 |
| The random variable x is : | 1.16798348580545 |
| The random variable x is : | 1.10549125063736 |
| The random variable x is : | 0.765392214241305 |
| The random variable x is : | 0.750775128444262 |
| The random variable x is : | 0.728756338329173 |
| The random variable x is : | 0.716975751005415 |
| The random variable x is : | 0.583256916217775 |
| The random variable x is : | 0.934403194084779 |
| The random variable x is : | 0.281985000814171 |
| The random variable x is : | 0.458155342115152 |
| The random variable x is : | 0.631622684290091 |
| The random variable x is : | 0.731230150493602 |
| The random variable x is : | 0.168350520063919 |
| The random variable x is : | 0.563293354494119 |
| The random variable x is : | 0.996136289867964 |
| The random variable x is : | 0.571959094819468 |
| The random variable x is : | 1.15407295437502 |
| The random variable x is : | 1.00530711974297 |
| The random variable x is : | 1.81749889333933 |
| The random variable x is : | 0.437668656232863 |
| The random variable x is : | 0.349310212130592 |
| The random variable x is : | 0.634623626072144 |
| The random variable x is : | 0.704636397205027 |
| The random variable x is : | 0.640468251061436 |
| The random variable x is : | 0.818586346169899 |
| The random variable x is : | 0.670768954486142 |
| The random variable x is : | 0.1699865266741 |
| The random variable x is : | 1.05059965201381 |
| The random variable x is : | 0.373344810768893 |
| The random variable x is : | 0.563094370934707 |
| The random variable x is : | 0.593023780802751 |
| The random variable x is : | 0.424367397425168 |
| The random variable x is : | 0.436873852814017 |
| The random variable x is : | 0.45788993045639 |
| The random variable x is : | 0.925190912691627 |
| The random variable x is : | 0.371887005452207 |
| The random variable x is : | 0.60134012687229 |
| The random variable x is : | 0.490773002606371 |
| The random variable x is : | 1.15275582636231 |
| The random variable x is : | 1.14223920655814 |
| The random variable x is : | 0.886747097847654 |
| The random variable x is : | 0.827687766768818 |
| The random variable x is : | 0.412336523666032 |
| The random variable x is : | 0.941658882491623 |
| The random variable x is : | 0.724700529023098 |
| The random variable x is : | 0.496591357580271 |
| The random variable x is : | 0.984285451967186 |
| The random variable x is : | 0.59546475524036 |
| The random variable x is : | 0.549645402566389 |
| The random variable x is : | 0.666505845413239 |
| The random variable x is : | 0.563647280490333 |
| The random variable x is : | 0.787411798733439 |
| The random variable x is : | 0.577361283089526 |
| The random variable x is : | 0.503978299866585 |
| The random variable x is : | 0.794603954348922 |
| The random variable x is : | 0.512314643381802 |
| The random variable x is : | 1.09362198826267 |
| The random variable x is : | 0.625011238670291 |
| The random variable x is : | 0.534016562551225 |
| The random variable x is : | 1.06516159958629 |
| The random variable x is : | 0.937941468035632 |
| The random variable x is : | 2.36432496197698 |
| The random variable x is : | 0.72926332709656 |
| The random variable x is : | 0.285799532767959 |
| The random variable x is : | 0.437626415872916 |
| The random variable x is : | 0.181021850370244 |
| The random variable x is : | 0.550182740940993 |
| The random variable x is : | 0.258576170138418 |
| The random variable x is : | 0.631372135852857 |
| The random variable x is : | 0.458999548496981 |
| The random variable x is : | 1.151734214247 |
| The random variable x is : | 0.401346858643612 |
| The random variable x is : | 0.572921972678545 |
| The random variable x is : | 0.546730868836783 |
| The random variable x is : | 0.609018441957332 |
| The random variable x is : | 0.815191823558425 |
| The random variable x is : | 0.854682038828646 |
| The random variable x is : | 0.550268213628499 |
| The random variable x is : | 0.478315432085518 |
| The random variable x is : | 0.724455828789928 |
| The random variable x is : | 0.427580627008797 |
| The random variable x is : | 0.828396058813927 |
| The random variable x is : | 0.447935788746715 |
| The random variable x is : | 0.304910660748814 |
| The random variable x is : | 0.570822318799422 |
| The random variable x is : | 0.342904125539218 |
| The random variable x is : | 0.330850019548662 |
| The random variable x is : | 0.617239994784458 |
| The random variable x is : | 0.900925663807252 |
| The random variable x is : | 1.4112136397316 |
| The random variable x is : | 0.620680450397168 |
| The random variable x is : | 0.845577593031844 |
| The random variable x is : | 1.22297991607368 |
| The random variable x is : | 0.850419715822464 |
| The random variable x is : | 0.584037424620523 |
| The random variable x is : | 1.38959425459199 |
| The random variable x is : | 0.701624184080972 |
| The random variable x is : | 0.176865872078124 |
| The random variable x is : | 0.336773065043635 |
| The random variable x is : | 0.543508048761223 |
| The random variable x is : | 0.809850235161941 |
| The random variable x is : | 0.723593227454036 |
| The random variable x is : | 0.491433423581033 |
| The random variable x is : | 0.356868550727776 |
| The random variable x is : | 0.517326744163505 |
| The random variable x is : | 0.818694320114527 |
| The random variable x is : | 0.446887726590135 |
| The random variable x is : | 0.484728544669444 |
| The random variable x is : | 0.682361499570827 |
| The random variable x is : | 0.989473879028444 |
| The random variable x is : | 0.60450757152358 |
| The random variable x is : | 0.66827945599357 |
| The random variable x is : | 0.788414709929659 |
| The random variable x is : | 0.443511638774936 |
| The random variable x is : | 0.959765520961104 |
| The random variable x is : | 0.336592734492648 |
| The random variable x is : | 0.542588629762582 |
| The random variable x is : | 1.05488825924124 |
| The random variable x is : | 0.344376341305113 |
| The random variable x is : | 0.554359649436756 |
| The random variable x is : | 0.672107309190653 |
| The random variable x is : | 0.807704067817027 |
| The random variable x is : | 0.338304670083469 |
| The random variable x is : | 0.474687302609722 |
| The random variable x is : | 1.01094079248041 |
| The random variable x is : | 0.957436620927216 |
| The random variable x is : | 0.620122788639302 |
| The random variable x is : | 0.294292801893264 |
| The random variable x is : | 0.295415589389021 |
| The random variable x is : | 0.383176976840878 |
| The random variable x is : | 0.251437114675947 |
| The random variable x is : | 0.980006284193534 |
| The random variable x is : | 0.769904816210838 |
| The random variable x is : | 0.785415803208685 |
| The random variable x is : | 1.00414353327555 |
| The random variable x is : | 0.731184718626428 |
| The random variable x is : | 0.330816502500315 |
| The random variable x is : | 0.539170525162302 |
| The random variable x is : | 1.10756971027923 |
| The random variable x is : | 0.706105968382675 |
| The random variable x is : | 0.754772213263755 |
| The random variable x is : | 0.768949785272052 |
| The random variable x is : | 0.300536357324366 |
| The random variable x is : | 0.43375132020568 |
| The random variable x is : | 0.573531269729714 |
| The random variable x is : | 0.814482006780806 |
| The random variable x is : | 0.521193672876976 |
| The random variable x is : | 0.889743659779707 |
| The random variable x is : | 0.681142203738355 |
| The random variable x is : | 0.635850109107747 |
| The random variable x is : | 0.322005587342847 |
| The random variable x is : | 0.670183918956345 |
| The random variable x is : | 1.34950430248044 |
| The random variable x is : | 0.544913629649523 |
| The random variable x is : | 1.13637362866255 |
| The random variable x is : | 0.689685839258264 |
| The random variable x is : | 0.586763459347182 |
| The random variable x is : | 1.07113297952482 |
| The random variable x is : | 0.322378680886223 |
| The random variable x is : | 0.447368749312581 |
| The random variable x is : | 0.557905383627902 |
| The random variable x is : | 0.810314410716918 |
| The random variable x is : | 0.964906066919452 |
| The random variable x is : | 0.38242227284686 |
| The random variable x is : | 0.404487600564469 |
| The random variable x is : | 0.490877675980501 |
| The random variable x is : | 0.665616544527109 |
| The random variable x is : | 1.74271796884429 |
| The random variable x is : | 0.290584077913685 |
| The random variable x is : | 0.528329781956783 |
| The random variable x is : | 0.384285463235059 |
| The random variable x is : | 0.482015468240992 |
| The random variable x is : | 1.26726633879986 |
| The random variable x is : | 0.840076572419263 |
| The random variable x is : | 0.59547567475761 |
| The random variable x is : | 0.698040815801041 |
| The random variable x is : | 0.570781706826206 |
| The random variable x is : | 0.435699122103965 |
| The random variable x is : | 0.452206881029599 |
| The random variable x is : | 0.361508069206897 |
| The random variable x is : | 0.433628196009454 |
| The random variable x is : | 1.02078079605853 |
| The random variable x is : | 0.600697229501364 |
| The random variable x is : | 0.364793529539102 |
| The random variable x is : | 0.911580789992712 |
| The random variable x is : | 1.29788123426431 |
| The random variable x is : | 0.524053850215726 |
| The random variable x is : | 0.571669017225825 |
| The random variable x is : | 0.574553523213923 |
| The random variable x is : | 1.18325680190268 |
| The random variable x is : | 0.489740707993409 |
| The random variable x is : | 0.566891184691584 |
| The random variable x is : | 0.502215743139229 |
| The random variable x is : | 0.941893648522497 |
| The random variable x is : | 0.886993430692298 |
| The random variable x is : | 0.61366542180393 |
| The random variable x is : | 0.585390240394065 |
| The random variable x is : | 1.16614616856235 |
| The random variable x is : | 0.60984401329292 |
| The random variable x is : | 0.404947994579151 |
| The random variable x is : | 0.774982796587785 |
| The random variable x is : | 0.491679498976988 |
| The random variable x is : | 1.61804057329753 |
| The random variable x is : | 0.453729132010431 |
| The random variable x is : | 0.54044059485457 |
| The random variable x is : | 0.566545518744443 |
| The random variable x is : | 0.826680357287736 |
| The random variable x is : | 0.274830364939239 |
| The random variable x is : | 1.1229238811814 |
| The random variable x is : | 0.774719664361569 |
| The random variable x is : | 0.829264321993221 |
| The random variable x is : | 0.573533576116957 |
| The random variable x is : | 0.947880266007048 |
| The random variable x is : | 0.695844722298795 |
| The random variable x is : | 0.43799057751206 |
| The random variable x is : | 0.996161276761849 |
| The random variable x is : | 0.698200681211642 |
| The random variable x is : | 0.906678745859154 |
| The random variable x is : | 1.13734431817229 |
| The random variable x is : | 0.743075526835314 |
| The random variable x is : | 0.445278643980596 |
| The random variable x is : | 0.281357453866107 |
| The random variable x is : | 0.56464627697235 |
| The random variable x is : | 1.06959033041863 |
| The random variable x is : | 0.891645992455914 |
| The random variable x is : | 1.04380112311255 |
| The random variable x is : | 0.595499102813539 |
| The random variable x is : | 0.616403304367402 |
| The random variable x is : | 0.291421855982569 |
| The random variable x is : | 0.579732014807498 |
| The random variable x is : | 0.515886569004188 |
| The random variable x is : | 0.578667542156282 |
| The random variable x is : | 0.482160895099953 |
| The random variable x is : | 0.367763685392833 |
| The random variable x is : | 0.522762604569923 |
| The random variable x is : | 1.33247641128306 |
| The random variable x is : | 0.786525720981723 |
| The random variable x is : | 0.699403895822725 |
| The random variable x is : | 0.843419071106781 |
| The random variable x is : | 0.335613521427876 |
| The random variable x is : | 0.690925466201584 |
| The random variable x is : | 0.704071771037854 |
| The random variable x is : | 1.87105158269445 |
| The random variable x is : | 0.441948217781736 |
| The random variable x is : | 0.539592216414045 |
| The random variable x is : | 0.791476867607797 |
| The random variable x is : | 0.703935958774505 |
| The random variable x is : | 0.826506749912715 |
| The random variable x is : | 0.221412710206356 |
| The random variable x is : | 0.446476138514767 |
| The random variable x is : | 1.12908987637312 |
| The random variable x is : | 0.800157637886942 |
| The random variable x is : | 0.339992405392401 |
| The random variable x is : | 1.16142642888658 |
| The random variable x is : | 0.671477297857041 |
| The random variable x is : | 0.922696338792281 |
| The random variable x is : | 0.597272053185781 |
| The random variable x is : | 1.33090748706626 |
| The random variable x is : | 0.461161999785375 |
| The random variable x is : | 0.405516028552736 |
| The random variable x is : | 0.480628515221124 |
| The random variable x is : | 0.813804512573756 |
| The random variable x is : | 0.667002151524159 |
| The random variable x is : | 0.894868055914655 |
| The random variable x is : | 1.25733166327405 |
| The random variable x is : | 0.620243006132632 |
| The random variable x is : | 0.511835313410775 |
| The random variable x is : | 0.653871108509622 |
| The random variable x is : | 0.622873826291605 |
| The random variable x is : | 1.19398998179856 |
| The random variable x is : | 1.07458369303158 |
| The random variable x is : | 0.80447348073751 |
| The random variable x is : | 1.1844064164133 |
| The random variable x is : | 0.664651920136074 |
| The random variable x is : | 0.484680708913581 |
| The random variable x is : | 1.19925357288708 |
| The random variable x is : | 0.367166344067025 |
| The random variable x is : | 0.315192602597592 |
| The random variable x is : | 0.706396203208075 |
| The random variable x is : | 1.06894116957596 |
| The random variable x is : | 0.411946964521426 |
| The random variable x is : | 0.524076892032183 |
| The random variable x is : | 0.753476669418246 |
| The random variable x is : | 0.623687796100163 |
| The random variable x is : | 0.798499662180902 |
| The random variable x is : | 0.547578961787221 |
| The random variable x is : | 0.601995626633247 |
| The random variable x is : | 1.05113265748893 |
| The random variable x is : | 1.15922384678044 |
| The random variable x is : | 0.284957963198425 |
| The random variable x is : | 0.275741192700654 |
| The random variable x is : | 0.272071121436606 |
| The random variable x is : | 0.519243818068945 |
| The random variable x is : | 0.656829164461897 |
| The random variable x is : | 0.903538463659953 |
| The random variable x is : | 0.64445353548772 |
| The random variable x is : | 0.149622387156063 |
| The random variable x is : | 1.11003745155787 |
| The random variable x is : | 1.06514429344093 |
| The random variable x is : | 0.535723118358237 |
| The random variable x is : | 0.563665066641227 |
| The random variable x is : | 0.783634784159136 |
| The random variable x is : | 0.986432913488389 |
| The random variable x is : | 0.581665238808066 |
| The random variable x is : | 0.629728881527829 |
| The random variable x is : | 1.0679958860616 |
| The random variable x is : | 0.598300856924435 |
| The random variable x is : | 1.40078563905999 |
| The random variable x is : | 0.795206368649541 |
| The random variable x is : | 0.297182564536725 |
| The random variable x is : | 0.620311377109808 |
| The random variable x is : | 0.860472651340389 |
| The random variable x is : | 1.05911765711083 |
| The random variable x is : | 0.457231322200219 |
| The random variable x is : | 0.473597769754257 |
| The random variable x is : | 0.83756408069101 |
| The random variable x is : | 0.553011776560185 |
| The random variable x is : | 0.712764534544191 |
| The random variable x is : | 0.554556311855882 |
| The random variable x is : | 0.642282803761852 |
| The random variable x is : | 0.266680622467694 |
| The random variable x is : | 0.419399992103125 |
| The random variable x is : | 1.30616995239803 |
| The random variable x is : | 1.38126088197468 |
| The random variable x is : | 1.04971489350015 |
| The random variable x is : | 0.517961132058004 |
| The random variable x is : | 0.584618575548743 |
| The random variable x is : | 0.488269243423247 |
| The random variable x is : | 0.315970969743932 |
| The random variable x is : | 0.463331275329426 |
| The random variable x is : | 0.412397299743867 |
| The random variable x is : | 0.395056053355525 |
| The random variable x is : | 0.466237576432436 |
| The random variable x is : | 0.666328185988698 |
| The random variable x is : | 1.06866122987288 |
| The random variable x is : | 0.901897565587907 |
| The random variable x is : | 0.579571366666182 |
| The random variable x is : | 0.665615419640466 |
| The random variable x is : | 0.806353978726909 |
| The random variable x is : | 0.906701584128151 |
| The random variable x is : | 0.908485041994632 |
| The random variable x is : | 0.314713358195838 |
| The random variable x is : | 0.873273485763507 |
| The random variable x is : | 1.41871031241191 |
| The random variable x is : | 0.801323304275806 |
| The random variable x is : | 0.467086528955395 |
| The random variable x is : | 0.466127874908233 |
| The random variable x is : | 1.24587195608941 |
| The random variable x is : | 1.00071139833954 |
| The random variable x is : | 0.763751247969111 |
| The random variable x is : | 1.75681603549171 |
| The random variable x is : | 0.305184834759071 |
| The random variable x is : | 0.841597786656248 |
| The random variable x is : | 0.6661381345646 |
| The random variable x is : | 0.306668720930205 |
| The random variable x is : | 0.981039827442589 |
| The random variable x is : | 0.49751214998344 |
| The random variable x is : | 1.09736373432463 |
| The random variable x is : | 0.673129044597165 |
| The random variable x is : | 0.541802933515714 |
| The random variable x is : | 0.920670874293347 |
| The random variable x is : | 0.618291460250343 |
| The random variable x is : | 0.605895537654102 |
| The random variable x is : | 0.402025913259345 |
| The random variable x is : | 0.670170295168377 |
| The random variable x is : | 0.594793542208318 |
| The random variable x is : | 0.936311701618432 |
| The random variable x is : | 0.44985285025334 |
| The random variable x is : | 0.351221235459469 |
| The random variable x is : | 0.626603440658319 |
| The random variable x is : | 0.532365383759638 |
| The random variable x is : | 0.553044516956879 |
| The random variable x is : | 0.199331345460726 |
| The random variable x is : | 0.298839382583121 |
| The random variable x is : | 0.941645318415641 |
| The random variable x is : | 1.19373660011325 |
| The random variable x is : | 0.744262383306639 |
| The random variable x is : | 0.897117563929048 |
| The random variable x is : | 0.754843999773689 |
| The random variable x is : | 0.742500209550866 |
| The random variable x is : | 1.03695771513273 |
| The random variable x is : | 0.381637442461183 |
| The random variable x is : | 1.01850970473103 |
| The random variable x is : | 0.493258944998945 |
| The random variable x is : | 0.406241057237592 |
| The random variable x is : | 0.301811264662617 |
| The random variable x is : | 0.774312243241378 |
| The random variable x is : | 1.02165066534983 |
| The random variable x is : | 0.925310014731845 |
| The random variable x is : | 0.997647664203539 |
| The random variable x is : | 0.645882842955757 |
| The random variable x is : | 1.10304981479988 |
| The random variable x is : | 0.570853392564302 |
| The random variable x is : | 0.584034494183364 |
| The random variable x is : | 0.70695227922465 |
| The random variable x is : | 0.662318892345573 |
| The random variable x is : | 1.14340425798035 |
| The random variable x is : | 0.989207804949289 |
| The random variable x is : | 0.698968299846687 |
| The random variable x is : | 0.91923562739225 |
| The random variable x is : | 0.234055416265982 |
| The random variable x is : | 0.988702513673102 |
| The random variable x is : | 1.03617537699638 |
| The random variable x is : | 0.358841519968418 |
| The random variable x is : | 0.565565721447881 |
| The random variable x is : | 0.642545516471457 |
| The random variable x is : | 1.18976434273181 |
| The random variable x is : | 0.149459512581259 |
| The random variable x is : | 0.287180647224422 |
| The random variable x is : | 0.706124952468289 |
| The random variable x is : | 0.645769170112238 |
| The random variable x is : | 1.37917677558926 |
| The random variable x is : | 0.404138971716941 |
| The random variable x is : | 0.638688676728542 |
| The random variable x is : | 0.740658913907791 |
| The random variable x is : | 0.881409636365852 |
| The random variable x is : | 0.957829768114938 |
| The random variable x is : | 0.656715270818238 |
| The random variable x is : | 0.622730564407115 |
| The random variable x is : | 0.7672896811731 |
| The random variable x is : | 0.627529511119051 |
| The random variable x is : | 0.597716134766857 |
| The random variable x is : | 0.292859757085018 |
| The random variable x is : | 0.701297982395106 |
| The random variable x is : | 0.983518767911701 |
| The random variable x is : | 0.427600396855802 |
| The random variable x is : | 0.737846941438728 |
| The random variable x is : | 0.813683399345748 |
| The random variable x is : | 0.68662897032441 |
| The random variable x is : | 1.5038917847944 |
| The random variable x is : | 0.795222802351452 |
| The random variable x is : | 0.547176991988078 |
| The random variable x is : | 0.455449652829732 |
| The random variable x is : | 0.534191197884606 |
| The random variable x is : | 0.778785221360876 |
| The random variable x is : | 0.499479398084527 |
| The random variable x is : | 0.228838892437501 |
| The random variable x is : | 0.77243536129261 |
| The random variable x is : | 0.835397173003171 |
| The random variable x is : | 1.20714921251172 |
| The random variable x is : | 0.508004339574449 |
| The random variable x is : | 0.443782060134233 |
| The random variable x is : | 0.576593563426192 |
| The random variable x is : | 0.246949977306222 |
| The random variable x is : | 0.583978386447554 |
| The random variable x is : | 0.445443158443452 |
| The random variable x is : | 0.332407132645372 |
| The random variable x is : | 0.515222318257508 |
| The random variable x is : | 0.866210657853514 |
| The random variable x is : | 0.534171103316877 |
| The random variable x is : | 0.453569044641831 |
| The random variable x is : | 0.311793478369092 |
| The random variable x is : | 0.573347808614527 |
| The random variable x is : | 0.489413758413931 |
| The random variable x is : | 1.43666792837277 |
| The random variable x is : | 0.641464399796192 |
| The random variable x is : | 0.685325960407752 |
| The random variable x is : | 0.336058840655034 |
| The random variable x is : | 0.654136420313523 |
| The random variable x is : | 0.340413234536362 |
| The random variable x is : | 0.725469904397025 |
| The random variable x is : | 0.539387651238435 |
| The random variable x is : | 0.542910364916959 |
| The random variable x is : | 0.466170172872853 |
| The random variable x is : | 0.198371577135675 |
| The random variable x is : | 0.78867215874498 |
| The random variable x is : | 0.558133304579078 |
| The random variable x is : | 1.28039309430705 |
| The random variable x is : | 1.13237928909295 |
| The random variable x is : | 0.665686591531467 |
| The random variable x is : | 0.861115052942064 |
| The random variable x is : | 0.640077011188312 |
| The random variable x is : | 0.332454946330947 |
| The random variable x is : | 0.74733756470732 |
| The random variable x is : | 1.00451096596091 |
| The random variable x is : | 1.07330615761112 |
| The random variable x is : | 0.457960249599082 |
| The random variable x is : | 1.13614864070595 |
| The random variable x is : | 0.522534242719964 |
| The random variable x is : | 0.444573728612633 |
| The random variable x is : | 0.791276730575608 |
| The random variable x is : | 0.739061974792083 |
| The random variable x is : | 0.672068513410935 |
| The random variable x is : | 0.860686297004 |
| The random variable x is : | 1.15600700637434 |
| The random variable x is : | 0.782914259490281 |
| The random variable x is : | 0.59783788467897 |
| The random variable x is : | 0.846208122796784 |
| The random variable x is : | 1.10610161085325 |
| The random variable x is : | 1.10011855363103 |
| The random variable x is : | 0.303379251246875 |
| The random variable x is : | 0.636506486097224 |
| The random variable x is : | 0.237926448757977 |
| The random variable x is : | 0.702608286891892 |
| The random variable x is : | 0.871870276525803 |
| The random variable x is : | 0.39088830390518 |
| The random variable x is : | 0.614819957579636 |
| The random variable x is : | 0.528268826956455 |
| The random variable x is : | 0.739049593144384 |
| The random variable x is : | 0.43368954722114 |
| The random variable x is : | 0.297453414400181 |
| The random variable x is : | 0.818092487820412 |
| The random variable x is : | 0.945274679781366 |
| The random variable x is : | 1.03577467852416 |
| The random variable x is : | 0.490202770646583 |
| The random variable x is : | 1.57020484821515 |
| The random variable x is : | 1.00115195826422 |
| The random variable x is : | 0.71535516362706 |
| The random variable x is : | 0.875513600650273 |
| The random variable x is : | 1.10701372130132 |
| The random variable x is : | 1.02993740250248 |
| The random variable x is : | 0.477805305440532 |
| The random variable x is : | 0.839918341084718 |
| The random variable x is : | 1.2893134508592 |
| The random variable x is : | 0.865736444340114 |
| The random variable x is : | 0.700247661009363 |
| The random variable x is : | 1.51107151974803 |
| The random variable x is : | 0.502548051310606 |
| The random variable x is : | 0.45184276956915 |
| The random variable x is : | 0.722317030289426 |
| The random variable x is : | 0.712661067125948 |
| The random variable x is : | 0.587042089280042 |
| The random variable x is : | 0.451384885125504 |
| The random variable x is : | 0.713219947703637 |
| The random variable x is : | 0.682595991219096 |
| The random variable x is : | 0.463024568175835 |
| The random variable x is : | 0.399060477602118 |
| The random variable x is : | 0.438368488386581 |
| The random variable x is : | 0.61742401533708 |
| The random variable x is : | 0.464994884597439 |
| The random variable x is : | 0.838078882484826 |
| The random variable x is : | 0.648449535349774 |
| The random variable x is : | 0.936759939551928 |
| The random variable x is : | 0.427113177107599 |
| The random variable x is : | 0.455117486035752 |
| The random variable x is : | 0.792644394693416 |
| The random variable x is : | 0.689999350164608 |
| The random variable x is : | 0.46799521176853 |
| The random variable x is : | 0.633255721763418 |
| The random variable x is : | 0.599752493910416 |
| The random variable x is : | 0.614553474569613 |
| The random variable x is : | 0.897206525785726 |
| The random variable x is : | 0.446660941643508 |
| The random variable x is : | 0.503487445808473 |
| The random variable x is : | 0.790880424994962 |
| The random variable x is : | 0.59922028452263 |
| The random variable x is : | 0.465389948858191 |
| The random variable x is : | 1.17089969457153 |
| The random variable x is : | 0.459987915419246 |
| The random variable x is : | 0.784698889230705 |
| The random variable x is : | 1.17022277764247 |
| The random variable x is : | 1.25054304469716 |
| The random variable x is : | 0.910171607474095 |
| The random variable x is : | 0.700437668761623 |
| The random variable x is : | 0.684457110496837 |
| The random variable x is : | 1.59127961709857 |
| The random variable x is : | 0.569642736463262 |
| The random variable x is : | 1.85801309979874 |
| The random variable x is : | 0.818382638537348 |
| The random variable x is : | 0.511661889922384 |
| The random variable x is : | 0.236236094950911 |
| The random variable x is : | 1.15639424245196 |
| The random variable x is : | 0.914871057614826 |
| The random variable x is : | 0.569463937363765 |
| The random variable x is : | 0.358730927595238 |
| The random variable x is : | 0.491259685169399 |
| The random variable x is : | 1.07054292748946 |
| The random variable x is : | 0.254754028663712 |
| The random variable x is : | 0.535669523282394 |
| The random variable x is : | 1.07153097165631 |
| The random variable x is : | 1.03811826840471 |
| The random variable x is : | 1.28714944155928 |
| The random variable x is : | 0.701717760587668 |
| The random variable x is : | 0.720375558940429 |
| The random variable x is : | 0.226474084305753 |
| The random variable x is : | 0.650862231327807 |
| The random variable x is : | 0.562549494977504 |
| The random variable x is : | 0.694714832405571 |
| The random variable x is : | 0.508978944934985 |
| The random variable x is : | 0.226949880682651 |
| The random variable x is : | 1.08623595457752 |
| The random variable x is : | 1.09150749601493 |
| The random variable x is : | 0.939300644454209 |
| The random variable x is : | 0.52876250121768 |
| The random variable x is : | 0.344903586298166 |
| The random variable x is : | 0.566793927975432 |
| The random variable x is : | 0.450661212731726 |
| The random variable x is : | 0.232038546371426 |
| The random variable x is : | 1.10255496715212 |
| The random variable x is : | 0.382082946090944 |
| The random variable x is : | 0.361542997229794 |
| The random variable x is : | 0.643407488429425 |
| The random variable x is : | 0.704542393626728 |
| The random variable x is : | 0.652681234092443 |
| The random variable x is : | 0.91559142136197 |
| The random variable x is : | 0.880776156193388 |
| The random variable x is : | 0.491663086706219 |
| The random variable x is : | 0.361254883898173 |
| The random variable x is : | 1.40615416608105 |
| The random variable x is : | 0.584885212465212 |
| The random variable x is : | 0.752619095120874 |
| The random variable x is : | 0.970685433461206 |
| The random variable x is : | 0.49834066528505 |
| The random variable x is : | 0.902571718014854 |
| The random variable x is : | 0.638611644019315 |
| The random variable x is : | 0.735132998448377 |
| The random variable x is : | 0.631964975250473 |
| The random variable x is : | 0.552541797319795 |
| The random variable x is : | 0.863368712262197 |
| The random variable x is : | 0.486101303220045 |
| The random variable x is : | 0.7398287027513 |
| The random variable x is : | 0.564019856135386 |
| The random variable x is : | 1.27423035130872 |
| The random variable x is : | 1.36125713114658 |
| The random variable x is : | 0.218641982931287 |
| The random variable x is : | 0.576360524190097 |
| The random variable x is : | 1.23632831801897 |
| The random variable x is : | 0.736614248435823 |
| The random variable x is : | 0.795279718563135 |
| The random variable x is : | 0.298225405229825 |
| The random variable x is : | 0.788567562085087 |
| The random variable x is : | 0.705880013703381 |
| The random variable x is : | 0.808754298068414 |
| The random variable x is : | 0.326329903298721 |
| The random variable x is : | 1.3143686777551 |
| The random variable x is : | 0.248078963512269 |
| The random variable x is : | 0.925514484567956 |
| The random variable x is : | 0.487430799886843 |
| The random variable x is : | 1.18420909181617 |
| The random variable x is : | 0.225210051411658 |
| The random variable x is : | 0.53696938090132 |
| The random variable x is : | 0.533460570980066 |
| The random variable x is : | 0.97939944047372 |
| The random variable x is : | 0.289891198493668 |
| The random variable x is : | 0.358524973204304 |
| The random variable x is : | 0.322203466254281 |
| The random variable x is : | 0.621097262111601 |
| The random variable x is : | 1.05192802751303 |
| The random variable x is : | 0.520806463535965 |
| The random variable x is : | 0.357772824972614 |
| The random variable x is : | 0.643834394149605 |
| The random variable x is : | 0.636618558966143 |
| The random variable x is : | 0.967322130688189 |
| The random variable x is : | 0.632782446078717 |
| The random variable x is : | 0.449233673859622 |
| The random variable x is : | 0.526755750178143 |
| The random variable x is : | 0.557381183910673 |
| The random variable x is : | 0.547542739786126 |
| The random variable x is : | 0.148658600379121 |
| The random variable x is : | 0.355789693299894 |
| The random variable x is : | 1.14739198442911 |
| The random variable x is : | 0.38709341404398 |
| The random variable x is : | 0.765620123858207 |
| The random variable x is : | 0.380949755081566 |
| The random variable x is : | 0.748007213877298 |
| The random variable x is : | 0.457995900528517 |
| The random variable x is : | 0.50291152925076 |
| The random variable x is : | 1.25276950513554 |
| The random variable x is : | 0.714372092065805 |
| The random variable x is : | 0.718541509417078 |
| The random variable x is : | 0.81040923545694 |
| The random variable x is : | 0.686079576432014 |
| The random variable x is : | 0.790258009877187 |
| The random variable x is : | 0.685231934668523 |
| The random variable x is : | 0.471397685230679 |
| The random variable x is : | 0.864666936702796 |
| The random variable x is : | 1.11839929035764 |
| The random variable x is : | 1.07987710432567 |
| The random variable x is : | 0.559974407836568 |
| The random variable x is : | 0.535822054217465 |
| The random variable x is : | 0.911346012717053 |
| The random variable x is : | 0.661911978579838 |
| The random variable x is : | 0.473480664672924 |
| The random variable x is : | 0.397791900687939 |
| The random variable x is : | 1.53180602229171 |
| The random variable x is : | 0.580331722102189 |
| The random variable x is : | 0.599223610861546 |
| The random variable x is : | 0.439768780678353 |
| The random variable x is : | 0.402007429095993 |
| The random variable x is : | 0.536429316706048 |
| The random variable x is : | 0.653866439470201 |
| The random variable x is : | 0.613345098107294 |
| The random variable x is : | 1.02286242678961 |
| The random variable x is : | 1.28921671856916 |
| The random variable x is : | 0.708646325505398 |
| The random variable x is : | 0.69129444619038 |
| The random variable x is : | 0.918298923808321 |
| The random variable x is : | 1.34611813177419 |
| The random variable x is : | 0.564818535129427 |
| The random variable x is : | 0.300975740276621 |
| The random variable x is : | 0.597857619789181 |
| The random variable x is : | 0.69377250556481 |
| The random variable x is : | 0.502848603767504 |
| The random variable x is : | 1.20290679488002 |
| The random variable x is : | 0.590153195553708 |
| The random variable x is : | 0.460584843516462 |
| The random variable x is : | 0.332786528798499 |
| The random variable x is : | 0.53244312675156 |
| The random variable x is : | 0.603981427188677 |
| The random variable x is : | 0.391947832530642 |
| The random variable x is : | 1.35594936173976 |
| The random variable x is : | 0.612734574664374 |
| The random variable x is : | 1.17808224586972 |
| The random variable x is : | 0.66865734384175 |
| The random variable x is : | 0.398601749076638 |
| The random variable x is : | 0.524443331004679 |
| The random variable x is : | 0.790292425800071 |
| The random variable x is : | 0.290633757007122 |
| The random variable x is : | 0.990586710042248 |
| The random variable x is : | 0.182712044480919 |
| The random variable x is : | 0.77476413517255 |
| The random variable x is : | 0.789458936840684 |
| The random variable x is : | 0.544266421660048 |
| The random variable x is : | 0.380014466740418 |
| The random variable x is : | 0.808163942765102 |
| The random variable x is : | 0.520788542751356 |
| The random variable x is : | 0.999197056802299 |
| The random variable x is : | 0.300808604191849 |
| The random variable x is : | 0.543323357428272 |
| The random variable x is : | 0.54894499175616 |
| The random variable x is : | 0.307663111666058 |
| The random variable x is : | 0.534938115119325 |
| The random variable x is : | 0.818210295600407 |
| The random variable x is : | 0.472356813596574 |
| The random variable x is : | 0.615076080765164 |
| The random variable x is : | 0.708543872506449 |
| The random variable x is : | 0.348932993862794 |
| The random variable x is : | 0.612436514158329 |
| The random variable x is : | 1.17912572942999 |
| The random variable x is : | 0.314781166481497 |
| The random variable x is : | 0.339751431605487 |
| The random variable x is : | 1.86460938669408 |
| The random variable x is : | 0.645659858347998 |
| The random variable x is : | 1.18570243026908 |
| The random variable x is : | 0.989515855832405 |
| The random variable x is : | 0.326275834769991 |
| The random variable x is : | 0.649649644506604 |
| The random variable x is : | 0.608162889772545 |
| The random variable x is : | 0.691926741409717 |
| The random variable x is : | 0.427750075204502 |
| The random variable x is : | 0.423766732546283 |
| The random variable x is : | 0.58944855205599 |
| The random variable x is : | 0.730245198619717 |
| The random variable x is : | 0.459474565487577 |
| The random variable x is : | 0.375552834188731 |
| The random variable x is : | 0.462911004880292 |
| The random variable x is : | 0.601006639650624 |
| The random variable x is : | 1.13230187830751 |
| The random variable x is : | 0.821920198843337 |
| The random variable x is : | 0.493098398933965 |
| The random variable x is : | 1.22247006662225 |
| The random variable x is : | 0.67669817120907 |
| The random variable x is : | 1.2967015231343 |
| The random variable x is : | 1.05816097108624 |
| The random variable x is : | 0.799114736191536 |
| The random variable x is : | 0.933541719020775 |
| The random variable x is : | 0.679539736419304 |
| The random variable x is : | 0.717710386571349 |
| The random variable x is : | 1.12487380219606 |
| The random variable x is : | 1.29931440983126 |
| The random variable x is : | 0.533610036094751 |
| The random variable x is : | 0.92398965181324 |
| The random variable x is : | 0.525094785325276 |
| The random variable x is : | 0.830704267778857 |
| The random variable x is : | 0.691218007280496 |
| The random variable x is : | 0.21256127236876 |
| The random variable x is : | 0.599686057769817 |
| The random variable x is : | 0.512867006438865 |
| The random variable x is : | 0.867470600595082 |
| The random variable x is : | 0.204322261703228 |
| The random variable x is : | 0.66548355773626 |
| The random variable x is : | 0.847430985346306 |
| The random variable x is : | 0.999316656256749 |
| The random variable x is : | 1.04072612409433 |
| The random variable x is : | 0.854708510801107 |
| The random variable x is : | 0.85294538817309 |
| The random variable x is : | 0.418949633258471 |
| The random variable x is : | 0.349399590887031 |
| The random variable x is : | 1.18193777945826 |
| The random variable x is : | 0.691279158715836 |
| The random variable x is : | 1.07621970687391 |
| The random variable x is : | 0.696394619287549 |
| The random variable x is : | 0.303284081864801 |
| The random variable x is : | 0.592775585553226 |
| The random variable x is : | 0.386640653243272 |
| The random variable x is : | 0.779369645419906 |
| The random variable x is : | 0.602401405392556 |
| The random variable x is : | 0.338748361606362 |
| The random variable x is : | 0.611553924572305 |
| The random variable x is : | 1.56444484741245 |
| The random variable x is : | 0.57157978322373 |
| The random variable x is : | 0.737545806033198 |
| The random variable x is : | 0.545828972738383 |
| The random variable x is : | 1.08803404832028 |
| The random variable x is : | 0.693116397698357 |
| The random variable x is : | 0.564338583506799 |
| The random variable x is : | 0.580618464523129 |
| The random variable x is : | 0.761874552161241 |
| The random variable x is : | 0.848818198494422 |
| The random variable x is : | 0.949572922151608 |
| The random variable x is : | 0.77397795155127 |
| The random variable x is : | 0.486694631787957 |
| The random variable x is : | 0.971163270032884 |
| The random variable x is : | 0.705887537245189 |
| The random variable x is : | 0.242121860973097 |
| The random variable x is : | 1.14072727147648 |
| The random variable x is : | 1.02122212832221 |
| The random variable x is : | 0.585377956968919 |
| The random variable x is : | 0.700841308934243 |
| The random variable x is : | 0.622106183582199 |
| The random variable x is : | 1.32279693428231 |
| The random variable x is : | 0.405127278302984 |
| The random variable x is : | 0.682217768633528 |
| The random variable x is : | 0.534973074709247 |
| The random variable x is : | 0.896603036471708 |
| The random variable x is : | 0.645562746845022 |
| The random variable x is : | 0.587373396265934 |
| The random variable x is : | 0.977771089308314 |
| The random variable x is : | 0.24315018936139 |
| The random variable x is : | 0.724694208275188 |
| The random variable x is : | 0.660478078954 |
| The random variable x is : | 0.959380163620813 |
| The random variable x is : | 0.440169941117471 |
| The random variable x is : | 1.26015015529279 |
| The random variable x is : | 0.902746319850194 |
| The random variable x is : | 1.17802725500841 |
| The random variable x is : | 1.10738266968945 |
| The random variable x is : | 0.811290255472701 |
| The random variable x is : | 1.15603400149944 |
| The random variable x is : | 0.615099833636475 |
| The random variable x is : | 0.378445553723253 |
| The random variable x is : | 0.624726775497601 |
| The random variable x is : | 1.31171980013491 |
| The random variable x is : | 0.595576077732802 |
| The random variable x is : | 0.848875989542951 |
| The random variable x is : | 0.748374581035496 |
| The random variable x is : | 0.710809932044819 |
| The random variable x is : | 0.564248858196538 |
| The random variable x is : | 0.717491183975065 |
| The random variable x is : | 0.963531455953392 |
| The random variable x is : | 0.515421821037515 |
| The random variable x is : | 0.714660946561104 |
| The random variable x is : | 0.533214295872696 |
| The random variable x is : | 0.375829394842315 |
| The random variable x is : | 0.400209832950746 |
| The random variable x is : | 0.730820964433253 |
| The random variable x is : | 0.853975602609801 |
| The random variable x is : | 0.658932651661961 |
| The random variable x is : | 0.52851615864255 |
| The random variable x is : | 0.863188208454792 |
| The random variable x is : | 0.387638340968641 |
| The random variable x is : | 0.671063583757731 |
| The random variable x is : | 0.357815324457729 |
| The random variable x is : | 0.646582252509468 |
| The random variable x is : | 0.46062847405866 |
| The random variable x is : | 0.421766813696604 |
| The random variable x is : | 1.19823003358689 |
| The random variable x is : | 0.821257969421338 |
| The random variable x is : | 0.798692440333674 |
| The random variable x is : | 0.347328062024796 |
| The random variable x is : | 0.394984376467884 |
| The random variable x is : | 0.774472554678917 |
| The random variable x is : | 0.59956170272482 |
| The random variable x is : | 1.16283830703241 |
| The random variable x is : | 0.699105890567348 |
| The random variable x is : | 0.170442708907545 |
| The random variable x is : | 0.680160859430054 |
| The random variable x is : | 0.355964342035547 |
| The random variable x is : | 1.10760493801842 |
| The random variable x is : | 0.83764011315932 |
| The random variable x is : | 1.63454266788918 |
| The random variable x is : | 0.889575139385829 |
| The random variable x is : | 1.08423658881394 |
| The random variable x is : | 0.387454447575947 |
| The random variable x is : | 0.588907452021918 |
| The random variable x is : | 0.835296363025386 |
| The random variable x is : | 0.782102310067111 |
| The random variable x is : | 1.14390101958592 |
| The random variable x is : | 0.951194856805308 |
| The random variable x is : | 0.995988269688431 |
| The random variable x is : | 0.706204194794839 |
| The random variable x is : | 0.596420141980862 |
| The random variable x is : | 1.21468932074839 |
| The random variable x is : | 0.533567619832866 |
| The random variable x is : | 1.0066150500087 |
| The random variable x is : | 0.646718861049417 |
| The random variable x is : | 0.802888032584748 |
| The random variable x is : | 0.415893629310814 |
| The random variable x is : | 0.86677178459425 |
| The random variable x is : | 0.619888333750013 |
| The random variable x is : | 0.659819132352085 |
| The random variable x is : | 1.82989395544266 |
| The random variable x is : | 0.58769017407584 |
| The random variable x is : | 1.17150038022808 |
| The random variable x is : | 0.601319568474111 |
| The random variable x is : | 0.870862951424754 |
| The random variable x is : | 1.05686659344415 |
| The random variable x is : | 0.55928314022583 |
| The random variable x is : | 1.17588168988101 |
| The random variable x is : | 0.573064845350136 |
| The random variable x is : | 0.210651703635706 |
| The random variable x is : | 0.830104216824746 |
| The random variable x is : | 0.287484871402794 |
| The random variable x is : | 0.457029551072178 |
| The random variable x is : | 1.109331911446 |
| The random variable x is : | 0.868829713573371 |
| The random variable x is : | 0.831042871043271 |
| The random variable x is : | 0.550151376987078 |
| The random variable x is : | 0.413780788874837 |
| The random variable x is : | 0.587220925195787 |
| The random variable x is : | 0.436148181307222 |
| The random variable x is : | 1.12718089911805 |
| The random variable x is : | 1.55518468342201 |
| The random variable x is : | 0.512562921220363 |
| The random variable x is : | 0.828684721247176 |
| The random variable x is : | 0.891794571144157 |
| The random variable x is : | 0.745050228107452 |
| The random variable x is : | 0.672771564072183 |
| The random variable x is : | 1.09004883729179 |
| The random variable x is : | 0.398731643145422 |
| The random variable x is : | 0.7172739792812 |
| The random variable x is : | 0.560892819631342 |
| The random variable x is : | 0.0830384460983691 |
| The random variable x is : | 1.01734804250854 |
| The random variable x is : | 0.650660290027174 |
| The random variable x is : | 0.745375864666834 |
| The random variable x is : | 0.280675155608329 |
| The random variable x is : | 0.563080865875356 |
| The random variable x is : | 0.487820149418468 |
| The random variable x is : | 0.660139407508033 |
| The random variable x is : | 0.413656149520634 |
| The random variable x is : | 0.388609417003615 |
| The random variable x is : | 0.656156300339946 |
| The random variable x is : | 0.687881362291502 |
| The random variable x is : | 0.691482812013797 |
| The random variable x is : | 0.328868919400884 |
| The random variable x is : | 0.660328609909623 |
| The random variable x is : | 1.56700646170439 |
| The random variable x is : | 0.855980548456807 |
| The random variable x is : | 1.36979715716833 |
| The random variable x is : | 0.590172546504067 |
| The random variable x is : | 0.548212228756348 |
| The random variable x is : | 0.716956551640093 |
| The random variable x is : | 0.669803865205303 |
| The random variable x is : | 1.04486673419088 |
| The random variable x is : | 0.60572558732379 |
| The random variable x is : | 0.947174746783705 |
| The random variable x is : | 0.940249381564842 |
| The random variable x is : | 0.806136309461498 |
| The random variable x is : | 0.496268648904985 |
| The random variable x is : | 0.553376017676758 |
| The random variable x is : | 0.0971523068393529 |
| The random variable x is : | 0.450391445280362 |
| The random variable x is : | 0.942596358868285 |
| The random variable x is : | 0.606482123947704 |
| The random variable x is : | 0.693724468528824 |
| The random variable x is : | 0.44029919825382 |
| The random variable x is : | 1.05393846513912 |
| The random variable x is : | 0.89764505124508 |
| The random variable x is : | 0.687822113824067 |
| The random variable x is : | 0.533953997626032 |
| The random variable x is : | 0.733021291244894 |
| The random variable x is : | 0.179379750874739 |
| The random variable x is : | 1.00386606772179 |
| The random variable x is : | 0.751819095468633 |
| The random variable x is : | 0.810499490216847 |
| The random variable x is : | 1.42254373588523 |
| The random variable x is : | 1.14725323253941 |
| The random variable x is : | 0.491323395399483 |
| The random variable x is : | 0.246232580819211 |
| The random variable x is : | 0.365464096483411 |
| The random variable x is : | 0.600871373679494 |
| The random variable x is : | 0.759754223942808 |
| The random variable x is : | 1.19986873150409 |
| The random variable x is : | 0.310754380196278 |
| The random variable x is : | 0.493818669773185 |
| The random variable x is : | 0.841459752478672 |
| The random variable x is : | 0.607601588609078 |
| The random variable x is : | 0.793478592339011 |
| The random variable x is : | 0.744718775211287 |
| The random variable x is : | 0.718385826896938 |
| The random variable x is : | 0.594705086473036 |
| The random variable x is : | 0.446643601070614 |
| The random variable x is : | 1.45079169224981 |
| The random variable x is : | 0.326968089859059 |
| The random variable x is : | 0.804706540581926 |
| The random variable x is : | 0.749364011668422 |
| The random variable x is : | 0.423568990895487 |
| The random variable x is : | 0.955009144684235 |
| The random variable x is : | 1.38820307462498 |
| The random variable x is : | 0.877432914136071 |
| The random variable x is : | 0.54732358769914 |
| The random variable x is : | 0.643551701007896 |
| The random variable x is : | 0.656772453532128 |
| The random variable x is : | 0.826521691915972 |
| The random variable x is : | 0.683496908637798 |
| The random variable x is : | 0.777294628845591 |
| The random variable x is : | 0.758654462309332 |
| The random variable x is : | 0.665007011176304 |
| The random variable x is : | 0.541763487812706 |
| The random variable x is : | 0.887251647929896 |
| The random variable x is : | 0.201338527662484 |
| The random variable x is : | 0.998483432392882 |
| The random variable x is : | 2.31792481706959 |
| The random variable x is : | 0.538801627382295 |
| The random variable x is : | 0.219594315161151 |
| The random variable x is : | 0.527721099065531 |
| The random variable x is : | 0.675420823293258 |
| The random variable x is : | 0.746793393407682 |
| The random variable x is : | 0.83237183712605 |
| The random variable x is : | 0.934824638734447 |
| The random variable x is : | 0.781726138233794 |
| The random variable x is : | 0.837539252512836 |
| The random variable x is : | 0.140816532645047 |
| The random variable x is : | 0.657520727935158 |
| The random variable x is : | 1.10727970539891 |
| The random variable x is : | 0.575347857251891 |
| The random variable x is : | 0.979720363564476 |
| The random variable x is : | 0.597407840361035 |
| The random variable x is : | 0.639099171217134 |
| The random variable x is : | 0.511664148571557 |
| The random variable x is : | 0.888088033640462 |
| The random variable x is : | 0.974248486901596 |
| The random variable x is : | 0.583135905609424 |
| The random variable x is : | 1.03708045181954 |
| The random variable x is : | 0.522016392792025 |
| The random variable x is : | 0.941410290921134 |
| The random variable x is : | 0.828617846221106 |
| The random variable x is : | 0.723130481115086 |
| The random variable x is : | 0.724901401887249 |
| The random variable x is : | 0.410401715230897 |
| The random variable x is : | 0.631471340530572 |
| The random variable x is : | 0.68223485333328 |
| The random variable x is : | 0.650091592468191 |
| The random variable x is : | 0.837677075159158 |
| The random variable x is : | 0.805052730497694 |
| The random variable x is : | 0.671548969460799 |
| The random variable x is : | 0.58036042481552 |
| The random variable x is : | 0.377742131487789 |
| The random variable x is : | 0.422295854162487 |
| The random variable x is : | 0.570059335038836 |
| The random variable x is : | 0.924870624998451 |
| The random variable x is : | 0.232029370511314 |
| The random variable x is : | 0.376570624231014 |
| The random variable x is : | 0.692356152924775 |
| The random variable x is : | 0.632957279377137 |
| The random variable x is : | 0.574562614664044 |
| The random variable x is : | 0.602179603418247 |
| The random variable x is : | 1.0564082808399 |
| The random variable x is : | 0.376447944385814 |
| The random variable x is : | 0.562855586603747 |
| The random variable x is : | 0.757754924233848 |
| The random variable x is : | 0.973347457476677 |
| The random variable x is : | 0.0923834397233998 |
| The random variable x is : | 0.666215372736797 |
| The random variable x is : | 0.300853414580351 |
| The random variable x is : | 1.10911776668021 |
| The random variable x is : | 1.62125865592231 |
| The random variable x is : | 0.635431500690484 |
| The random variable x is : | 1.43089672347931 |
| The random variable x is : | 0.576879754102137 |
| The random variable x is : | 0.87819963379249 |
| The random variable x is : | 0.513056183048828 |
| The random variable x is : | 0.891544650588645 |
| The random variable x is : | 0.546769404006596 |
| The random variable x is : | 0.324794948164701 |
| The random variable x is : | 0.550032720737386 |
| The random variable x is : | 0.897497893521969 |
| The random variable x is : | 0.777569570217924 |
| The random variable x is : | 0.480725632822512 |
| The random variable x is : | 0.970207994298841 |
| The random variable x is : | 0.615118308085255 |
| The random variable x is : | 0.731621331631315 |
| The random variable x is : | 0.781990811257027 |
| The random variable x is : | 0.444910977813761 |
| The random variable x is : | 0.45866089237365 |
| The random variable x is : | 0.665912900851963 |
| The random variable x is : | 0.783007954263756 |
| The random variable x is : | 0.329017683373392 |
| The random variable x is : | 0.818931282510196 |
| The random variable x is : | 0.316993045879532 |
| The random variable x is : | 0.363840418630805 |
| The random variable x is : | 0.912487580923128 |
| The random variable x is : | 1.1319572786236 |
| The random variable x is : | 0.210013764653807 |
| The random variable x is : | 0.489691249120294 |
| The random variable x is : | 0.636378663779738 |
| The random variable x is : | 0.850329880253816 |
| The random variable x is : | 0.855504220255956 |
| The random variable x is : | 0.633599950162574 |
| The random variable x is : | 0.781189299923404 |
| The random variable x is : | 1.07276566591589 |
| The random variable x is : | 0.396727886493866 |
| The random variable x is : | 0.520672563491052 |
| The random variable x is : | 0.425315446108484 |
| The random variable x is : | 1.16711391597535 |
| The random variable x is : | 0.563029584170048 |
| The random variable x is : | 0.740806691310164 |
| The random variable x is : | 0.544416087964347 |
| The random variable x is : | 0.641126473014501 |
| The random variable x is : | 0.372851201681045 |
| The random variable x is : | 0.618083462910919 |
| The random variable x is : | 1.00623217771777 |
| The random variable x is : | 0.469234792489749 |
| The random variable x is : | 0.72330720315707 |
| The random variable x is : | 0.992308570399885 |
| The random variable x is : | 0.981722129459476 |
| The random variable x is : | 0.327615929371284 |
| The random variable x is : | 1.14749749288731 |
| The random variable x is : | 0.380314507665974 |
| The random variable x is : | 0.675289009436096 |
| The random variable x is : | 0.522890125584068 |
| The random variable x is : | 0.757015784320074 |
| The random variable x is : | 0.598188769908588 |
| The random variable x is : | 0.688812017702495 |
| The random variable x is : | 0.744845085029103 |
| The random variable x is : | 0.370682615790293 |
| The random variable x is : | 0.540055694302849 |
| The random variable x is : | 1.44863308297254 |
| The random variable x is : | 0.93486111297043 |
| The random variable x is : | 0.399841704430185 |
| The random variable x is : | 0.835378902127 |
| The random variable x is : | 1.73624720777275 |
| The random variable x is : | 0.137845823007604 |
| The random variable x is : | 0.519180278868253 |
| The random variable x is : | 0.650117684528228 |
| The random variable x is : | 0.961617691656857 |
| The random variable x is : | 1.06712807315529 |
| The random variable x is : | 1.75560880140159 |
| The random variable x is : | 0.779953225832821 |
| The random variable x is : | 1.02097752370338 |
| The random variable x is : | 0.959176435869152 |
| The random variable x is : | 0.800985839771891 |
| The random variable x is : | 0.626905716714102 |
| The random variable x is : | 0.515185120281466 |
| The random variable x is : | 0.389206169247233 |
| The random variable x is : | 0.564603941606824 |
| The random variable x is : | 0.769556057317898 |
| The random variable x is : | 0.867129538707496 |
| The random variable x is : | 0.992182110852655 |
| The random variable x is : | 0.297831707347571 |
| The random variable x is : | 0.42776739231043 |
| The random variable x is : | 0.78203384205171 |
| The random variable x is : | 0.580494016602302 |
| The random variable x is : | 1.25302562890204 |
| The random variable x is : | 0.802072434048188 |
| The random variable x is : | 0.456737539253592 |
| The random variable x is : | 0.384724930672324 |
| The random variable x is : | 0.505892415790701 |
| The random variable x is : | 0.821182129395874 |
| The random variable x is : | 0.873070749455522 |
| The random variable x is : | 0.176041103850584 |
| The random variable x is : | 0.334164008504582 |
| The random variable x is : | 0.39841392810139 |
| The random variable x is : | 0.593329478001511 |
| The random variable x is : | 0.410578683910451 |
| The random variable x is : | 0.734922435871102 |
| The random variable x is : | 1.18499168220552 |
| The random variable x is : | 0.980814495547317 |
| The random variable x is : | 0.642719446915014 |
| The random variable x is : | 1.00560846728457 |
| The random variable x is : | 0.540518408714307 |
| The random variable x is : | 0.561939199005272 |
| The random variable x is : | 0.458373818325331 |
| The random variable x is : | 0.457248278795352 |
| The random variable x is : | 0.795809430718523 |
| The random variable x is : | 0.35514625882359 |
| The random variable x is : | 0.423547017916088 |
| The random variable x is : | 0.5143986937758 |
| The random variable x is : | 0.617243924646815 |
| The random variable x is : | 0.442969393866828 |
| The random variable x is : | 1.10829221008987 |
| The random variable x is : | 0.806829074652635 |
| The random variable x is : | 0.54171748234303 |
| The random variable x is : | 0.532944715496196 |
| The random variable x is : | 0.508798754024676 |
| The random variable x is : | 0.443571051059483 |
| The random variable x is : | 0.566952606567708 |
| The random variable x is : | 0.754474303904005 |
| The random variable x is : | 0.8002653414966 |
| The random variable x is : | 0.488271311334663 |
| The random variable x is : | 1.04013618978414 |
| The random variable x is : | 0.597662394460563 |
| The random variable x is : | 0.420361735805671 |
| The random variable x is : | 0.746586990621842 |
| The random variable x is : | 1.24358602119843 |
| The random variable x is : | 1.0930206399199 |
| The random variable x is : | 0.986736545424688 |
| The random variable x is : | 0.886693228652143 |
| The random variable x is : | 0.922074570368819 |
| The random variable x is : | 0.466795847233725 |
| The random variable x is : | 0.619778396948977 |
| The random variable x is : | 0.648316269341929 |
| The random variable x is : | 1.0106900074057 |
| The random variable x is : | 0.592229503924184 |
| The random variable x is : | 0.647536906430135 |
| The random variable x is : | 0.602488163982846 |
| The random variable x is : | 0.619829257352854 |
| The random variable x is : | 0.937528986973104 |
| The random variable x is : | 0.464285031224844 |
| The random variable x is : | 0.658231786299723 |
| The random variable x is : | 0.317486261301657 |
| The random variable x is : | 0.533774074700852 |
| The random variable x is : | 1.00401992742787 |
| The random variable x is : | 0.647658596469356 |
| The random variable x is : | 0.32803466052515 |
| The random variable x is : | 1.02561677896347 |
| The random variable x is : | 0.57888604882323 |
| The random variable x is : | 0.659245645194315 |
| The random variable x is : | 0.506808300009255 |
| The random variable x is : | 2.53609212856554 |
| The random variable x is : | 0.910214302689939 |
| The random variable x is : | 0.589862572654943 |
| The random variable x is : | 0.40767503938645 |
| The random variable x is : | 1.26590501008158 |
| The random variable x is : | 0.289029288031415 |
| The random variable x is : | 1.5651184162802 |
| The random variable x is : | 0.299066564686571 |
| The random variable x is : | 0.485051308731583 |
| The random variable x is : | 0.315734130159891 |
| The random variable x is : | 1.27288369400562 |
| The random variable x is : | 0.815888921792477 |
| The random variable x is : | 1.27310150828751 |
| The random variable x is : | 0.896902636615941 |
| The random variable x is : | 1.176131024644 |
| The random variable x is : | 0.411228371251702 |
| The random variable x is : | 0.718771871332102 |
| The random variable x is : | 0.497355114477579 |
| The random variable x is : | 0.398830337315616 |
| The random variable x is : | 0.81965239062172 |
| The random variable x is : | 0.775775645003208 |
| The random variable x is : | 1.2600010286067 |
| The random variable x is : | 1.03214237209115 |
| The random variable x is : | 1.51756154275429 |
| The random variable x is : | 0.688909784402554 |
| The random variable x is : | 1.15391306803069 |
| The random variable x is : | 0.341992912522661 |
| The random variable x is : | 0.40576660957348 |
| The random variable x is : | 0.19799267991675 |
| The random variable x is : | 0.968286425948564 |
| The random variable x is : | 0.581601133128649 |
| The random variable x is : | 0.310345340218116 |
| The random variable x is : | 0.669937036984637 |
| The random variable x is : | 0.501723652637224 |
| The random variable x is : | 0.619268661375287 |
| The random variable x is : | 0.270316573650571 |
| The random variable x is : | 0.54143538683711 |
| The random variable x is : | 0.307583849330849 |
| The random variable x is : | 1.09656324791568 |
| The random variable x is : | 1.08738823044018 |
| The random variable x is : | 0.586784573621623 |
| The random variable x is : | 1.10029565914235 |
| The random variable x is : | 0.730134937376574 |
| The random variable x is : | 0.523373840152124 |
| The random variable x is : | 0.962211606352135 |
| The random variable x is : | 0.822733336066694 |
| The random variable x is : | 0.272206606675718 |
| The random variable x is : | 0.417597218548489 |
| The random variable x is : | 1.03154955143097 |
| The random variable x is : | 1.05853931450617 |
| The random variable x is : | 0.792196829779049 |
| The random variable x is : | 0.532557883454096 |
| The random variable x is : | 0.381415514048885 |
| The random variable x is : | 0.767572529133041 |
| The random variable x is : | 0.359616793944346 |
| The random variable x is : | 0.425782596622966 |
| The random variable x is : | 0.308758028325231 |
| The random variable x is : | 0.480912163084414 |
| The random variable x is : | 0.410327952238446 |
| The random variable x is : | 0.467738566347971 |
| The random variable x is : | 1.11858221921875 |
| The random variable x is : | 1.15522284082052 |
| The random variable x is : | 0.889222878987759 |
| The random variable x is : | 0.994296416725209 |
| The random variable x is : | 0.706582492756195 |
| The random variable x is : | 0.820604968227695 |
| The random variable x is : | 0.917680497800154 |
| The random variable x is : | 0.691731321541748 |
| The random variable x is : | 0.776716408594306 |
| The random variable x is : | 0.683202021426191 |
| The random variable x is : | 0.697313684668971 |
| The random variable x is : | 0.589597908766761 |
| The random variable x is : | 0.548972630112563 |
| The random variable x is : | 0.851180199086966 |
| The random variable x is : | 1.02497303324675 |
| The random variable x is : | 0.619416747495742 |
| The random variable x is : | 0.729641891452197 |
| The random variable x is : | 0.747843645612709 |
| The random variable x is : | 0.476891662621789 |
| The random variable x is : | 1.5497649998155 |
| The random variable x is : | 0.774075643131055 |
| The random variable x is : | 0.526458688951468 |
| The random variable x is : | 0.450223844914186 |
| The random variable x is : | 0.465783092629416 |
| The random variable x is : | 0.555641016326667 |
| The random variable x is : | 2.11112368258323 |
| The random variable x is : | 0.681676221955312 |
| The random variable x is : | 1.17929203943364 |
| The random variable x is : | 0.738770707532599 |
| The random variable x is : | 0.328981170274183 |
| The random variable x is : | 0.941413093954845 |
| The random variable x is : | 1.0221277659097 |
| The random variable x is : | 1.07349454824654 |
| The random variable x is : | 0.507875108063745 |
| The random variable x is : | 0.950669194032534 |
| The random variable x is : | 1.2761068127463 |
| The random variable x is : | 0.73796553827812 |
| The random variable x is : | 1.17835907382371 |
| The random variable x is : | 0.754758082404243 |
| The random variable x is : | 1.0310229547503 |
| The random variable x is : | 1.02736503215102 |
| The random variable x is : | 1.19148539334251 |
| The random variable x is : | 0.284106709061992 |
| The random variable x is : | 1.95859205464326 |
| The random variable x is : | 0.385932407605656 |
| The random variable x is : | 0.636065329194222 |
| The random variable x is : | 0.546867101545109 |
| The random variable x is : | 0.996683498573867 |
| The random variable x is : | 1.00634249424903 |
| The random variable x is : | 0.807271104948717 |
| The random variable x is : | 0.517693142749761 |
| The random variable x is : | 0.927391666602763 |
| The random variable x is : | 1.18647425549014 |
| The random variable x is : | 0.282507580214197 |
| The random variable x is : | 0.474348497370747 |
| The random variable x is : | 0.280229490351226 |
| The random variable x is : | 0.819958556607747 |
| The random variable x is : | 0.264470994481359 |
| The random variable x is : | 1.005311991144 |
| The random variable x is : | 0.658187486581546 |
| The random variable x is : | 0.344373953220059 |
| The random variable x is : | 0.381617986573761 |
| The random variable x is : | 0.348361388528389 |
| The random variable x is : | 0.447115140406449 |
| The random variable x is : | 0.75103242178869 |
| The random variable x is : | 0.219375350699868 |
| The random variable x is : | 0.690588805621688 |
| The random variable x is : | 0.846521264592776 |
| The random variable x is : | 1.10355162446538 |
| The random variable x is : | 0.664869573648795 |
| The random variable x is : | 0.509356220432528 |
| The random variable x is : | 1.15179014940422 |
| The random variable x is : | 0.334626378788032 |
| The random variable x is : | 1.04236954013175 |
| The random variable x is : | 0.212603230876039 |
| The random variable x is : | 0.316611052807524 |
| The random variable x is : | 0.82848995849061 |
| The random variable x is : | 0.965164598939321 |
| The random variable x is : | 0.703624535976535 |
| The random variable x is : | 0.370590920153898 |
| The random variable x is : | 0.600508912425516 |
| The random variable x is : | 1.34781544362695 |
| The random variable x is : | 0.776329755787533 |
| The random variable x is : | 0.585452058075013 |
| The random variable x is : | 0.602721982529207 |
| The random variable x is : | 0.55359257223629 |
| The random variable x is : | 0.780817689800075 |
| The random variable x is : | 0.343707912644985 |
| The random variable x is : | 0.692384330650239 |
| The random variable x is : | 0.500833258666681 |
| The random variable x is : | 0.863152223717971 |
| The random variable x is : | 0.605329344101514 |
| The random variable x is : | 1.44585292981563 |
| The random variable x is : | 0.606093716100896 |
| The random variable x is : | 1.04504298288172 |
| The random variable x is : | 0.864408236160789 |
| The random variable x is : | 0.536126724732175 |
| The random variable x is : | 0.474603114077429 |
| The random variable x is : | 0.937573653772367 |
| The random variable x is : | 0.442062693910635 |
| The random variable x is : | 0.612104330382365 |
| The random variable x is : | 0.324986535678961 |
| The random variable x is : | 0.604800654427478 |
| The random variable x is : | 1.16219041705018 |
| The random variable x is : | 1.08393262638866 |
| The random variable x is : | 0.643465351000703 |
| The random variable x is : | 0.399398946178883 |
| The random variable x is : | 0.94025768867445 |
| The random variable x is : | 0.175560684734839 |
| The random variable x is : | 0.682386127800853 |
| The random variable x is : | 0.548185599622548 |
| The random variable x is : | 0.433395921268509 |
| The random variable x is : | 0.886585884377098 |
| The random variable x is : | 0.490524108211327 |
| The random variable x is : | 0.851277182841718 |
| The random variable x is : | 0.377859456227112 |
| The random variable x is : | 0.867528787198936 |
| The random variable x is : | 0.936009584332325 |
| The random variable x is : | 0.144777960447551 |
| The random variable x is : | 1.21417851235837 |
| The random variable x is : | 0.934960063592539 |
| The random variable x is : | 0.653667726510832 |
| The random variable x is : | 0.714060223068511 |
| The random variable x is : | 1.12420583136615 |
| The random variable x is : | 0.699924587595096 |
| The random variable x is : | 1.03474520723536 |
| The random variable x is : | 0.395302006364221 |
| The random variable x is : | 0.487456062708479 |
| The random variable x is : | 1.13354706507731 |
| The random variable x is : | 0.472489800993121 |
| The random variable x is : | 0.322306840184847 |
| The random variable x is : | 0.952046181185607 |
| The random variable x is : | 0.926974913134519 |
| The random variable x is : | 0.67506564776032 |
| The random variable x is : | 0.24604392492268 |
| The random variable x is : | 0.636009280653929 |
| The random variable x is : | 1.10147052486398 |
| The random variable x is : | 0.454466861526429 |
| The random variable x is : | 0.341204364443208 |
| The random variable x is : | 0.574437532327935 |
| The random variable x is : | 0.634308226900894 |
| The random variable x is : | 0.401976395644917 |
| The random variable x is : | 0.613209858612421 |
| The random variable x is : | 1.07456495579252 |
| The random variable x is : | 1.2771654021012 |
| The random variable x is : | 0.612797685361378 |
| The random variable x is : | 1.11205529143271 |
| The random variable x is : | 1.29581136787164 |
| The random variable x is : | 0.420018880402598 |
| The random variable x is : | 0.479129956362816 |
| The random variable x is : | 1.2049014533981 |
| The random variable x is : | 0.667341792802704 |
| The random variable x is : | 0.367405571132792 |
| The random variable x is : | 1.15985336149602 |
| The random variable x is : | 0.469353590392855 |
| The random variable x is : | 0.826420692082238 |
| The random variable x is : | 0.926299261625801 |
| The random variable x is : | 0.654897711574797 |
| The random variable x is : | 0.375552170831025 |
| The random variable x is : | 0.329461420274205 |
| The random variable x is : | 1.43122851583387 |
| The random variable x is : | 0.623233487844732 |
| The random variable x is : | 0.669947656729362 |
| The random variable x is : | 0.728176859343955 |
| The random variable x is : | 0.666298458009552 |
| The random variable x is : | 0.347877248501137 |
| The random variable x is : | 0.576012196083066 |
| The random variable x is : | 0.828276330685769 |
| The random variable x is : | 1.23362757159257 |
| The random variable x is : | 0.150001237822205 |
| The random variable x is : | 0.850181769851471 |
| The random variable x is : | 0.868537489207483 |
| The random variable x is : | 0.605187897508178 |
| The random variable x is : | 0.412044727951714 |
| The random variable x is : | 0.750327490817782 |
| The random variable x is : | 0.648880744808911 |
| The random variable x is : | 0.718320993921134 |
| The random variable x is : | 0.779313767228741 |
| The random variable x is : | 0.730109900462211 |
| The random variable x is : | 0.630061912633835 |
| The random variable x is : | 0.627975277474747 |
| The random variable x is : | 0.860306511850707 |
| The random variable x is : | 0.836585051758016 |
| The random variable x is : | 0.623900843728207 |
| The random variable x is : | 0.407651181385757 |
| The random variable x is : | 0.731184030518998 |
| The random variable x is : | 0.784427051391337 |
| The random variable x is : | 0.610765735924017 |
| The random variable x is : | 0.894526203512452 |
| The random variable x is : | 0.682267817466395 |
| The random variable x is : | 0.578774086098266 |
| The random variable x is : | 0.961558301274879 |
| The random variable x is : | 0.772048017895739 |
| The random variable x is : | 1.20726240837692 |
| The random variable x is : | 1.42510921849294 |
| The random variable x is : | 1.32897651071181 |
| The random variable x is : | 0.341848213720687 |
| The random variable x is : | 0.632553509259553 |
| The random variable x is : | 0.307225748215498 |
| The random variable x is : | 0.825686212092274 |
| The random variable x is : | 0.910686598064358 |
| The random variable x is : | 0.868960941097998 |
| The random variable x is : | 0.792687027707488 |
| The random variable x is : | 0.293574480447677 |
| The random variable x is : | 0.652238012702446 |
| The random variable x is : | 0.973705785521254 |
| The random variable x is : | 0.589725905018952 |
| The random variable x is : | 0.456651831552076 |
| The random variable x is : | 0.377853363130336 |
| The random variable x is : | 0.706316391628156 |
| The random variable x is : | 0.556177780986292 |
| The random variable x is : | 0.617960439763592 |
| The random variable x is : | 0.644025716079688 |
| The random variable x is : | 0.498146168703392 |
| The random variable x is : | 0.77993797771588 |
| The random variable x is : | 0.804507329487912 |
| The random variable x is : | 0.63457538034303 |
| The random variable x is : | 0.964596903666471 |
| The random variable x is : | 0.659840836239336 |
| The random variable x is : | 0.298159790792518 |
| The random variable x is : | 0.562878488802206 |
| The random variable x is : | 1.18332660120456 |
| The random variable x is : | 0.415849261674727 |
| The random variable x is : | 0.687573288944609 |
| The random variable x is : | 0.39288639320668 |
| The random variable x is : | 0.354159392137875 |
| The random variable x is : | 0.843633786271524 |
| The random variable x is : | 0.935740756387596 |
| The random variable x is : | 0.384528836830846 |
| The random variable x is : | 0.745418552642358 |
| The random variable x is : | 0.514933366909719 |
| The random variable x is : | 0.556208344033263 |
| The random variable x is : | 0.350189922366027 |
| The random variable x is : | 0.53511146577303 |
| The random variable x is : | 1.08224566184175 |
| The random variable x is : | 0.27532466497332 |
| The random variable x is : | 0.48074261838308 |
| The random variable x is : | 0.727112008720726 |
| The random variable x is : | 1.05349404629871 |
| The random variable x is : | 0.423713594664182 |
| The random variable x is : | 0.464096571689846 |
| The random variable x is : | 0.558254422308848 |
| The random variable x is : | 0.409499358439147 |
| The random variable x is : | 0.483389261654302 |
| The random variable x is : | 0.880151849007098 |
| The random variable x is : | 0.474406185397723 |
| The random variable x is : | 0.592018139999714 |
| The random variable x is : | 0.308597696468701 |
| The random variable x is : | 0.76106392731412 |
| The random variable x is : | 0.729597018686158 |
| The random variable x is : | 0.665032581994491 |
| The random variable x is : | 0.458886344926627 |
| The random variable x is : | 0.548359987250388 |
| The random variable x is : | 1.03394908933576 |
| The random variable x is : | 0.423760883108432 |
| The random variable x is : | 0.249106253853353 |
| The random variable x is : | 0.409814699985565 |
| The random variable x is : | 0.432763137230876 |
| The random variable x is : | 0.935377542227495 |
| The random variable x is : | 0.732873380973049 |
| The random variable x is : | 1.15877667656252 |
| The random variable x is : | 0.443457879232573 |
| The random variable x is : | 0.602501568094348 |
| The random variable x is : | 1.05488722775996 |
| The random variable x is : | 0.70754345550437 |
| The random variable x is : | 1.04109691461305 |
| The random variable x is : | 0.627368963184356 |
| The random variable x is : | 0.397048892330437 |
| The random variable x is : | 0.921174837306219 |
| The random variable x is : | 0.390865410042243 |
| The random variable x is : | 0.568987760049454 |
| The random variable x is : | 0.400255228651879 |
| The random variable x is : | 0.342979575151887 |
| The random variable x is : | 0.662833095224324 |
| The random variable x is : | 0.687597549864693 |
| The random variable x is : | 0.655655085875507 |
| The random variable x is : | 1.13444552656412 |
| The random variable x is : | 1.04415478543509 |
| The random variable x is : | 0.572319408623667 |
| The random variable x is : | 0.716130411789504 |
| The random variable x is : | 0.702800663662319 |
| The random variable x is : | 0.436711104985728 |
| The random variable x is : | 0.532928155598551 |
| The random variable x is : | 0.693412809244493 |
| The random variable x is : | 0.633796666887577 |
| The random variable x is : | 0.748213089509099 |
| The random variable x is : | 1.32868661944279 |
| The random variable x is : | 0.339098495851374 |
| The random variable x is : | 0.227385455597299 |
| The random variable x is : | 0.530930904486417 |
| The random variable x is : | 0.7579136071885 |
| The random variable x is : | 0.764373830044614 |
| The random variable x is : | 1.03327006375835 |
| The random variable x is : | 0.634242033678077 |
| The random variable x is : | 0.785790994799081 |
| The random variable x is : | 0.254843461699998 |
| The random variable x is : | 1.78999248415484 |
| The random variable x is : | 0.477736987356148 |
| The random variable x is : | 0.72047845299394 |
| The random variable x is : | 0.885466284035312 |
| The random variable x is : | 0.422095191101181 |
| The random variable x is : | 0.682532071455355 |
| The random variable x is : | 1.10208751093635 |
| The random variable x is : | 0.413752596873676 |
| The random variable x is : | 0.706642288422204 |
| The random variable x is : | 0.525018927079351 |
| The random variable x is : | 0.931751989028642 |
| The random variable x is : | 0.323950276115756 |
| The random variable x is : | 0.773247038272209 |
| The random variable x is : | 0.835653098819698 |
| The random variable x is : | 1.15139817977392 |
| The random variable x is : | 0.814868336929418 |
| The random variable x is : | 1.02691693756307 |
| The random variable x is : | 0.902091222805368 |
| The random variable x is : | 1.26919066483934 |
| The random variable x is : | 0.371294505894458 |
| The random variable x is : | 0.735665960924252 |
| The random variable x is : | 0.500914491140928 |
| The random variable x is : | 0.722309144440916 |
| The random variable x is : | 1.2489742522183 |
| The random variable x is : | 0.507838958137487 |
| The random variable x is : | 0.801034517666414 |
| The random variable x is : | 0.851332226368223 |
| The random variable x is : | 0.496371599010751 |
| The random variable x is : | 0.349592057878608 |
| The random variable x is : | 0.410365293576776 |
| The random variable x is : | 0.434982059200819 |
| The random variable x is : | 0.735989502014117 |
| The random variable x is : | 0.707983606879459 |
| The random variable x is : | 0.873090847511921 |
| The random variable x is : | 0.308098577170245 |
| The random variable x is : | 0.587669098565635 |
| The random variable x is : | 0.373077773739364 |
| The random variable x is : | 0.700952792437707 |
| The random variable x is : | 0.678506701516541 |
| The random variable x is : | 0.32965644074745 |
| The random variable x is : | 0.683630570043941 |
| The random variable x is : | 0.643417943832818 |
| The random variable x is : | 0.776898514678799 |
| The random variable x is : | 1.11361234350404 |
| The random variable x is : | 0.34086653638171 |
| The random variable x is : | 0.753405806050199 |
| The random variable x is : | 0.321331759100219 |
| The random variable x is : | 0.86138663326415 |
| The random variable x is : | 0.278225835216345 |
| The random variable x is : | 0.664086252784147 |
| The random variable x is : | 1.12356856280934 |
| The random variable x is : | 0.619740573992594 |
| The random variable x is : | 0.613630861236332 |
| The random variable x is : | 1.13754230294846 |
| The random variable x is : | 0.529875644766354 |
| The random variable x is : | 0.473697426902567 |
| The random variable x is : | 0.675012791097115 |
| The random variable x is : | 1.24735794802337 |
| The random variable x is : | 0.873357162744629 |
| The random variable x is : | 0.823353427715799 |
| The random variable x is : | 0.684600299805088 |
| The random variable x is : | 0.900712533741949 |
| The random variable x is : | 0.551726681337405 |
| The random variable x is : | 0.395983106884729 |
| The random variable x is : | 0.4120093531865 |
| The random variable x is : | 0.748603334837052 |
| The random variable x is : | 0.917981971723815 |
| The random variable x is : | 1.20738692227263 |
| The random variable x is : | 0.970856085853106 |
| The random variable x is : | 0.863152364018013 |
| The random variable x is : | 0.860843821900705 |
| The random variable x is : | 0.642283040941675 |
| The random variable x is : | 0.827914440270979 |
| The random variable x is : | 0.479314968786498 |
| The random variable x is : | 0.910328282106682 |
| The random variable x is : | 0.793911216016909 |
| The random variable x is : | 0.505482208359346 |
| The random variable x is : | 0.457990217552941 |
| The random variable x is : | 0.416801597283916 |
| The random variable x is : | 0.414258818205454 |
| The random variable x is : | 0.522860053348153 |
| The random variable x is : | 0.674849073887354 |
| The random variable x is : | 0.439507494701555 |
| The random variable x is : | 0.839319473182595 |
| The random variable x is : | 0.52461071407664 |
| The random variable x is : | 0.460936445592649 |
| The random variable x is : | 0.414309821689002 |
| The random variable x is : | 1.02622439707348 |
| The random variable x is : | 0.805733121531003 |
| The random variable x is : | 0.807027873743764 |
| The random variable x is : | 0.504548946242684 |
| The random variable x is : | 0.700169587125037 |
| The random variable x is : | 0.688135027139897 |
| The random variable x is : | 0.501048230213285 |
| The random variable x is : | 1.10457250460857 |
| The random variable x is : | 1.0283692150909 |
| The random variable x is : | 0.653139060633825 |
| The random variable x is : | 0.420000332282248 |
| The random variable x is : | 0.885954576965119 |
| The random variable x is : | 0.439965066354957 |
| The random variable x is : | 0.986847702369306 |
| The random variable x is : | 0.463471403608792 |
| The random variable x is : | 0.310077755014861 |
| The random variable x is : | 1.01855199533214 |
| The random variable x is : | 0.747409955381249 |
| The random variable x is : | 0.456571494072546 |
| The random variable x is : | 0.493241544996693 |
| The random variable x is : | 0.951268155770393 |
| The random variable x is : | 0.640034827297702 |
| The random variable x is : | 0.478246198013272 |
| The random variable x is : | 0.449344109038729 |
| The random variable x is : | 0.787097400102611 |
| The random variable x is : | 1.07656060673283 |
| The random variable x is : | 0.953943154079576 |
| The random variable x is : | 0.532836373577849 |
| The random variable x is : | 0.836192849847076 |
| The random variable x is : | 0.812028333666105 |
| The random variable x is : | 0.937096565369188 |
| The random variable x is : | 0.608843256280727 |
| The random variable x is : | 0.380478072648744 |
| The random variable x is : | 0.735289416601117 |
| The random variable x is : | 0.671869513013253 |
| The random variable x is : | 0.952891476321615 |
| The random variable x is : | 0.646437686772994 |
| The random variable x is : | 0.888682765541104 |
| The random variable x is : | 0.84621512934181 |
| The random variable x is : | 0.467749729817048 |
| The random variable x is : | 0.747393567143592 |
| The random variable x is : | 0.961520199038284 |
| The random variable x is : | 0.2396051839408 |
| The random variable x is : | 0.853286457107854 |
| The random variable x is : | 0.68086530320037 |
| The random variable x is : | 0.782409031483286 |
| The random variable x is : | 0.522731821590282 |
| The random variable x is : | 0.15820649498342 |
| The random variable x is : | 0.518279735418837 |
| The random variable x is : | 1.22377114808458 |
| The random variable x is : | 0.492123496178758 |
| The random variable x is : | 1.19105385869846 |
| The random variable x is : | 0.544280856533714 |
| The random variable x is : | 0.256419454628532 |
| The random variable x is : | 0.756396607021278 |
| The random variable x is : | 1.28637469712704 |
| The random variable x is : | 1.07503422012785 |
| The random variable x is : | 0.561192884296895 |
| The random variable x is : | 1.08217906850693 |
| The random variable x is : | 1.65043769237985 |
| The random variable x is : | 0.357826850919891 |
| The random variable x is : | 0.456298451200215 |
| The random variable x is : | 0.51325282169507 |
| The random variable x is : | 0.680105050592436 |
| The random variable x is : | 0.343878021495605 |
| The random variable x is : | 0.990858218774142 |
| The random variable x is : | 0.39452736694487 |
| The random variable x is : | 0.703080565881526 |
| The random variable x is : | 0.534592641975704 |
| The random variable x is : | 0.656905548387546 |
| The random variable x is : | 0.600808532530647 |
| The random variable x is : | 0.668461160621784 |
| The random variable x is : | 0.546087900862838 |
| The random variable x is : | 1.18827656473554 |
| The random variable x is : | 0.564801356998685 |
| The random variable x is : | 0.431893447577339 |
| The random variable x is : | 0.605094818054245 |
| The random variable x is : | 1.01677477009104 |
| The random variable x is : | 1.38962949205063 |
| The random variable x is : | 0.32286545730506 |
| The random variable x is : | 0.738542257860351 |
| The random variable x is : | 1.3695758064837 |
| The random variable x is : | 0.246331837869822 |
| The random variable x is : | 0.639968604286379 |
| The random variable x is : | 0.821829374109639 |
| The random variable x is : | 0.50190491100735 |
| The random variable x is : | 0.144276631775211 |
| The random variable x is : | 0.68462777741353 |
| The random variable x is : | 0.338137709188865 |
| The random variable x is : | 0.445245601418591 |
| The random variable x is : | 0.277696475990205 |
| The random variable x is : | 0.834937888387488 |
| The random variable x is : | 1.11505796299976 |
| The random variable x is : | 1.23104180220509 |
| The random variable x is : | 0.587366192158087 |
| The random variable x is : | 1.10678677313073 |
| The random variable x is : | 0.604129893680333 |
| The random variable x is : | 0.581031819477597 |
| The random variable x is : | 0.427213265375688 |
| The random variable x is : | 0.638775444559426 |
| The random variable x is : | 0.636271985136542 |
| The random variable x is : | 0.63080874407208 |
| The random variable x is : | 0.922019719509952 |
| The random variable x is : | 0.866238207547988 |
| The random variable x is : | 0.902337065887682 |
| The random variable x is : | 1.20976794110357 |
| The random variable x is : | 1.26602328336109 |
| The random variable x is : | 0.647158923493132 |
| The random variable x is : | 0.72738064583237 |
| The random variable x is : | 0.645933081111559 |
| The random variable x is : | 0.41976868610803 |
| The random variable x is : | 1.00776894471441 |
| The random variable x is : | 0.702349026076127 |
| The random variable x is : | 0.431849928213495 |
| The random variable x is : | 0.5443702551177 |
| The random variable x is : | 0.560686121552254 |
| The random variable x is : | 0.394896360775679 |
| The random variable x is : | 0.478600936490423 |
| The random variable x is : | 0.80571312988955 |
| The random variable x is : | 0.242519581342653 |
| The random variable x is : | 0.747606184150331 |
| The random variable x is : | 0.751133371436559 |
| The random variable x is : | 0.377714536177271 |
| The random variable x is : | 1.20374375560334 |
| The random variable x is : | 0.388666519806257 |
| The random variable x is : | 0.788490797772816 |
| The random variable x is : | 1.74034021544069 |
| The random variable x is : | 0.968499637875448 |
| The random variable x is : | 0.616112161260113 |
| The random variable x is : | 0.91622800225992 |
| The random variable x is : | 0.649176062058712 |
| The random variable x is : | 0.510839368088937 |
| The random variable x is : | 1.04377653952575 |
| The random variable x is : | 0.537564773533967 |
| The random variable x is : | 0.658205702831016 |
| The random variable x is : | 0.611417589183783 |
| The random variable x is : | 0.201060997556083 |
| The random variable x is : | 0.58025482058248 |
| The random variable x is : | 0.356664175505676 |
| The random variable x is : | 0.715152489739247 |
| The random variable x is : | 1.03983450328963 |
| The random variable x is : | 0.493150029664072 |
| The random variable x is : | 0.867957644608049 |
| The random variable x is : | 0.846536243036864 |
| The random variable x is : | 0.544196127191323 |
| The random variable x is : | 1.08147979998589 |
| The random variable x is : | 0.630746710028688 |
| The random variable x is : | 0.356396843822468 |
| The random variable x is : | 0.956511706313874 |
| The random variable x is : | 0.760358593824902 |
| The random variable x is : | 0.688067750970111 |
| The random variable x is : | 0.314815851616912 |
| The random variable x is : | 0.331511778109702 |
| The random variable x is : | 0.626843417852479 |
| The random variable x is : | 1.11335970017978 |
| The random variable x is : | 0.284638688469799 |
| The random variable x is : | 0.668427165558381 |
| The random variable x is : | 1.51724322164528 |
| The random variable x is : | 0.684632299450925 |
| The random variable x is : | 0.829205847694921 |
| The random variable x is : | 0.527782267307649 |
| The random variable x is : | 0.390260086098315 |
| The random variable x is : | 1.09930816438034 |
| The random variable x is : | 0.561136747525672 |
| The random variable x is : | 0.984348351020859 |
| The random variable x is : | 0.881565720414118 |
| The random variable x is : | 0.71778431832714 |
| The random variable x is : | 0.482487372955754 |
| The random variable x is : | 0.584842341865433 |
| The random variable x is : | 0.252616040864727 |
| The random variable x is : | 0.661961366391471 |
| The random variable x is : | 1.05759841576271 |
| The random variable x is : | 1.98846896282775 |
| The random variable x is : | 1.2171581491323 |
| The random variable x is : | 0.972239129104931 |
| The random variable x is : | 0.468381244489602 |
| The random variable x is : | 0.722516147713177 |
| The random variable x is : | 1.23968857928026 |
| The random variable x is : | 0.651647887529469 |
| The random variable x is : | 0.466109662463112 |
| The random variable x is : | 0.448431372798724 |
| The random variable x is : | 0.651914788397868 |
| The random variable x is : | 0.790257474433805 |
| The random variable x is : | 1.16605487696391 |
| The random variable x is : | 0.286821817500659 |
| The random variable x is : | 0.614762127381296 |
| The random variable x is : | 0.636773762228755 |
| The random variable x is : | 1.18536666385333 |
| The random variable x is : | 0.741596147450597 |
| The random variable x is : | 0.578526103745774 |
| The random variable x is : | 1.03412216324637 |
| The random variable x is : | 0.641884048188305 |
| The random variable x is : | 0.319019239026251 |
| The random variable x is : | 0.344115522957033 |
| The random variable x is : | 0.316938327202903 |
| The random variable x is : | 0.36526394375715 |
| The random variable x is : | 0.493368607884291 |
| The random variable x is : | 0.283861247740952 |
| The random variable x is : | 0.835666067086208 |
| The random variable x is : | 0.605904976725999 |
| The random variable x is : | 0.631633002085024 |
| The random variable x is : | 0.696462059743261 |
| The random variable x is : | 1.057048153789 |
| The random variable x is : | 0.520649330709095 |
| The random variable x is : | 0.642450058784843 |
| The random variable x is : | 0.509395065523297 |
| The random variable x is : | 1.39009524283808 |
| The random variable x is : | 0.461365335688908 |
| The random variable x is : | 0.764872655501963 |
| The random variable x is : | 0.58574242309817 |
| The random variable x is : | 0.477334155029115 |
| The random variable x is : | 0.462407035636236 |
| The random variable x is : | 0.306045226429768 |
| The random variable x is : | 0.834920935226477 |
| The random variable x is : | 0.671354023147882 |
| The random variable x is : | 1.42956774224408 |
| The random variable x is : | 1.07951668607302 |
| The random variable x is : | 0.994780957790749 |
| The random variable x is : | 1.40873768743821 |
| The random variable x is : | 1.0643987568484 |
| The random variable x is : | 0.317226621314552 |
| The random variable x is : | 0.485881466884925 |
| The random variable x is : | 0.499609643323689 |
| The random variable x is : | 1.13427001762627 |
| The random variable x is : | 0.687956340028801 |
| The random variable x is : | 0.447271442605771 |
| The random variable x is : | 0.679654410875562 |
| The random variable x is : | 0.368990987960617 |
| The random variable x is : | 0.956994391222159 |
| The random variable x is : | 0.820233575726537 |
| The random variable x is : | 0.510478574149278 |
| The random variable x is : | 0.44872461547136 |
| The random variable x is : | 0.63011384741829 |
| The random variable x is : | 0.761800134372351 |
| The random variable x is : | 0.674062219319709 |
| The random variable x is : | 0.979814941376192 |
| The random variable x is : | 1.1909843996715 |
| The random variable x is : | 0.590303916738937 |
| The random variable x is : | 0.482467092412054 |
| The random variable x is : | 0.92979293429374 |
| The random variable x is : | 1.18995579462421 |
| The random variable x is : | 0.598028875221309 |
| The random variable x is : | 0.784008800013244 |
| The random variable x is : | 0.399358688630851 |
| The random variable x is : | 1.54487548205395 |
| The random variable x is : | 0.495613482525428 |
| The random variable x is : | 0.359342186183333 |
| The random variable x is : | 1.17925695701736 |
| The random variable x is : | 0.503376209660525 |
| The random variable x is : | 1.00167823280701 |
| The random variable x is : | 1.15942474253328 |
| The random variable x is : | 0.544102055740416 |
| The random variable x is : | 0.39881591131748 |
| The random variable x is : | 0.467460987762324 |
| The random variable x is : | 0.995797261980267 |
| The random variable x is : | 0.692928540752697 |
| The random variable x is : | 0.826186415850136 |
| The random variable x is : | 0.489935132381572 |
| The random variable x is : | 0.515130993716841 |
| The random variable x is : | 0.706391947495239 |
| The random variable x is : | 0.50210663225683 |
| The random variable x is : | 0.75846699357042 |
| The random variable x is : | 1.02367496673189 |
| The random variable x is : | 0.874614393811691 |
| The random variable x is : | 0.893519953483737 |
| The random variable x is : | 0.527399042520881 |
| The random variable x is : | 0.816671100441141 |
| The random variable x is : | 0.765027441370059 |
| The random variable x is : | 0.75269689065875 |
| The random variable x is : | 0.893090422559049 |
| The random variable x is : | 0.627754208795195 |
| The random variable x is : | 0.794489950964863 |
| The random variable x is : | 0.637310188722226 |
| The random variable x is : | 0.422765293307173 |
| The random variable x is : | 0.813946686224858 |
| The random variable x is : | 0.484109484857648 |
| The random variable x is : | 0.292927023501234 |
| The random variable x is : | 0.535311009838848 |
| The random variable x is : | 1.07873146133033 |
| The random variable x is : | 0.783463867724252 |
| The random variable x is : | 0.630245693789463 |
| The random variable x is : | 0.545548275898434 |
| The random variable x is : | 0.542456926188809 |
| The random variable x is : | 1.12535486690546 |
| The random variable x is : | 0.524513977568986 |
| The random variable x is : | 0.195678130900428 |
| The random variable x is : | 0.679491502688512 |
| The random variable x is : | 0.355418053733459 |
| The random variable x is : | 0.777137557959167 |
| The random variable x is : | 0.638134965287138 |
| The random variable x is : | 0.623187783707474 |
| The random variable x is : | 0.644031497540024 |
| The random variable x is : | 0.43771549372536 |
| The random variable x is : | 0.842751977240915 |
| The random variable x is : | 0.818337862693533 |
| The random variable x is : | 0.725213435089928 |
| The random variable x is : | 1.33849986620648 |
| The random variable x is : | 0.912638766329864 |
| The random variable x is : | 0.587547478516798 |
| The random variable x is : | 0.638283557152738 |
| The random variable x is : | 0.385800880424898 |
| The random variable x is : | 1.14513556226264 |
| The random variable x is : | 0.374729289844361 |
| The random variable x is : | 0.510479946424608 |
| The random variable x is : | 1.04257419959191 |
| The random variable x is : | 0.763329588946509 |
| The random variable x is : | 1.24832305370691 |
| The random variable x is : | 0.35982039585976 |
| The random variable x is : | 0.32835584502419 |
| The random variable x is : | 0.69903006271513 |
| The random variable x is : | 0.566402435384789 |
| The random variable x is : | 0.268223197931311 |
| The random variable x is : | 0.892472048662666 |
| The random variable x is : | 0.375764550931258 |
| The random variable x is : | 1.10220870269312 |
| The random variable x is : | 0.587176236860415 |
| The random variable x is : | 0.809452889884848 |
| The random variable x is : | 0.784112575853924 |
| The random variable x is : | 0.762069553612132 |
| The random variable x is : | 0.587483677212462 |
| The random variable x is : | 0.718636135644063 |
| The random variable x is : | 1.39104988668625 |
#Histogram to display Gamma Distribution
hist(X, main = "Random Gamma Generation with 10,000 PDF Values", col = "#381b45", xlab = "Random variable X", border = "black", bg = "#f2e6f7", lwd = 2)
Probability Density 2: Y~Sum of Exponentials.
Then generate 10,000 observations from the sum of n exponential pdfs with rate/shape parameter λ. The \(n\) and λ must be the same as in the previous case. (e.g., \(mysum=rexp(10000,l)+rexp(10000,l)+..)\)
Solution
To generate \(10,000\) observations
from the sum of \(n\) exponential pdfs
with rate/shape parameter \(\lambda\),
I used the rexp() function in R to
generate each exponential distribution, and then sum them up.
n is set to \(6\) and
lambda is set to \(9\). The result of \(10,000\) observations is stored in the
variable X.
Y <- rexp(observation_no,rate = lambda) + rexp(observation_no,rate = lambda) + rexp(observation_no,rate = lambda) + rexp(observation_no,rate = lambda) + rexp(observation_no,rate = lambda)
mysum <- data.frame(Y)
mysum %>% kable() %>%
kable_styling(bootstrap_options = "striped", font_size = 12) %>%
scroll_box(height = "300px", width = "100%")| Y |
|---|
| 0.7666914 |
| 0.4388997 |
| 0.7020530 |
| 0.5773446 |
| 0.2724545 |
| 1.1475183 |
| 1.0689649 |
| 1.0854146 |
| 0.4322360 |
| 0.5943059 |
| 1.0299019 |
| 0.4557553 |
| 0.7672027 |
| 0.6315683 |
| 0.9317553 |
| 0.5042012 |
| 0.5909187 |
| 0.5854528 |
| 0.2553814 |
| 0.4030024 |
| 0.3775527 |
| 0.4028227 |
| 0.6920424 |
| 0.3986098 |
| 1.4092722 |
| 0.2208464 |
| 0.2760603 |
| 0.5354763 |
| 0.8988115 |
| 1.0842932 |
| 1.4118141 |
| 0.9923821 |
| 0.9917814 |
| 0.8390968 |
| 0.8996125 |
| 0.7018692 |
| 0.5976735 |
| 0.3032630 |
| 0.8366649 |
| 0.8584703 |
| 0.6192741 |
| 0.2150674 |
| 0.5027746 |
| 0.5995359 |
| 0.7291582 |
| 0.3730466 |
| 0.3601914 |
| 0.6249064 |
| 0.5904247 |
| 1.2068412 |
| 0.6875231 |
| 1.0384239 |
| 0.6195444 |
| 0.9509334 |
| 0.3850508 |
| 1.0112787 |
| 0.4534807 |
| 0.3920904 |
| 0.8283237 |
| 0.3679832 |
| 1.1691475 |
| 0.3598408 |
| 0.6015085 |
| 0.2921768 |
| 0.4456870 |
| 0.5522627 |
| 0.1861407 |
| 1.0118501 |
| 0.5140971 |
| 0.6427913 |
| 0.6732649 |
| 0.6583380 |
| 0.4385158 |
| 0.2464323 |
| 0.4526118 |
| 0.8722375 |
| 0.6728558 |
| 0.5980567 |
| 0.3911934 |
| 1.0208639 |
| 0.3778470 |
| 0.8731108 |
| 0.5065588 |
| 1.3258624 |
| 0.7753041 |
| 1.5596702 |
| 1.2650089 |
| 0.9573638 |
| 0.5743494 |
| 0.2831547 |
| 0.9610204 |
| 0.5582357 |
| 0.3857896 |
| 0.5155048 |
| 0.6285389 |
| 0.1567298 |
| 0.5452088 |
| 1.4765054 |
| 0.3563360 |
| 0.6739506 |
| 0.2241953 |
| 0.5001680 |
| 0.7043811 |
| 0.3886269 |
| 0.7625788 |
| 0.5535288 |
| 0.3185691 |
| 0.8837142 |
| 0.5990457 |
| 0.6306744 |
| 0.8966061 |
| 0.4219898 |
| 0.6716570 |
| 0.2236678 |
| 1.0426313 |
| 1.2294208 |
| 0.8525680 |
| 1.2773637 |
| 0.7200731 |
| 0.6375591 |
| 0.4213816 |
| 0.4114916 |
| 0.4194180 |
| 0.3507526 |
| 0.6768632 |
| 0.6982297 |
| 0.3024644 |
| 0.6235817 |
| 0.3313311 |
| 0.9080969 |
| 0.6332431 |
| 0.6656714 |
| 0.9531659 |
| 0.5189192 |
| 1.2411141 |
| 0.7293246 |
| 0.6953685 |
| 0.6544169 |
| 0.2148307 |
| 0.8104074 |
| 1.2731912 |
| 0.7057376 |
| 0.6046324 |
| 0.6102406 |
| 0.4775901 |
| 0.8299382 |
| 0.6425098 |
| 1.0730293 |
| 1.2438864 |
| 1.0207210 |
| 1.2389310 |
| 1.8599782 |
| 0.9070387 |
| 0.7520407 |
| 0.4168920 |
| 1.5098747 |
| 0.8169083 |
| 0.6960972 |
| 0.4586274 |
| 1.1433118 |
| 0.3858647 |
| 0.2218053 |
| 1.4838070 |
| 0.2156061 |
| 0.3052233 |
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| 0.5759418 |
| 0.1691550 |
| 0.2364896 |
| 0.5015520 |
| 0.2096835 |
| 0.5562301 |
| 1.4353495 |
| 0.6974710 |
| 0.5928952 |
| 0.2773160 |
| 1.0163448 |
| 0.5603503 |
| 0.5247851 |
| 0.4447965 |
| 0.7021818 |
| 0.6203826 |
| 0.7882574 |
| 0.6933380 |
| 1.0885457 |
| 0.5512520 |
| 0.7150163 |
| 1.8510869 |
| 0.1761606 |
| 0.6970232 |
| 1.2567402 |
| 0.8036231 |
| 0.2939030 |
| 0.8331677 |
| 0.6855310 |
| 0.7350540 |
| 0.4355550 |
| 0.4190931 |
| 0.8110710 |
| 0.5823966 |
| 1.3432500 |
| 0.1964380 |
| 1.9185453 |
| 0.9354481 |
| 0.4241849 |
| 0.7924318 |
| 1.1244104 |
| 0.5389092 |
| 1.3203309 |
| 0.6880710 |
| 1.2521716 |
| 0.7896181 |
| 0.5425096 |
| 0.7348913 |
| 0.3126961 |
| 0.6462532 |
| 0.3725633 |
| 0.7533799 |
| 0.5864628 |
| 0.1974452 |
| 0.5295176 |
| 0.3434944 |
| 0.6439599 |
| 0.5697165 |
| 0.3379833 |
| 0.6299149 |
| 0.4062647 |
| 0.8859876 |
| 1.4751981 |
| 0.5616848 |
| 0.5794903 |
| 0.9859528 |
| 0.2137650 |
| 0.5813572 |
| 0.3619464 |
| 0.3754408 |
| 1.6736265 |
| 0.5794857 |
| 0.9874866 |
| 0.4744281 |
| 1.3071181 |
| 0.4821796 |
| 1.0576233 |
| 0.4921909 |
| 0.5057221 |
| 0.4498119 |
| 0.8356389 |
| 1.2108741 |
| 0.5408535 |
| 0.4745173 |
| 0.7978142 |
| 0.4493903 |
| 0.8819670 |
| 0.2593792 |
| 0.6918316 |
| 0.3780144 |
| 1.2084622 |
| 0.3007753 |
| 0.2992341 |
| 0.3810624 |
| 1.0727617 |
| 0.9145125 |
| 0.8998184 |
| 0.3045579 |
| 0.9926785 |
| 0.8175514 |
| 1.0605133 |
| 1.2056712 |
| 1.3225316 |
| 0.7007982 |
| 0.9321604 |
| 1.2218634 |
| 1.0110420 |
| 0.4240875 |
| 1.8209941 |
| 0.3641068 |
| 0.7682971 |
| 1.0808084 |
| 0.3763674 |
| 0.8117624 |
| 0.9164126 |
| 0.9635257 |
| 0.7616288 |
| 1.1841250 |
| 0.8938007 |
| 1.4404620 |
| 0.6111165 |
| 0.3869768 |
| 0.3322735 |
| 0.3056700 |
| 1.0397425 |
| 0.3486487 |
| 0.2514204 |
| 1.2693206 |
| 0.6957928 |
| 1.4194745 |
| 1.1093627 |
| 0.7514865 |
| 0.4401361 |
| 1.1057130 |
| 0.2968501 |
| 0.3489677 |
| 0.9311527 |
| 0.3384787 |
| 0.8286235 |
| 0.5396996 |
| 0.8190571 |
| 0.7499197 |
| 0.6071195 |
| 0.3915123 |
| 1.0759708 |
| 0.4428040 |
| 0.4990055 |
| 1.2802545 |
| 0.3137622 |
| 0.3475153 |
| 0.4483235 |
| 1.4793154 |
| 0.7073719 |
| 0.8282978 |
| 0.9105362 |
| 0.5370084 |
| 0.4389890 |
| 0.5071088 |
| 0.7025584 |
| 0.6922451 |
| 0.7674110 |
| 0.3051000 |
| 0.4001033 |
| 0.7715857 |
| 0.2787713 |
| 0.3249733 |
| 0.7063818 |
| 0.8422730 |
| 0.4817454 |
| 0.6283709 |
| 0.6574466 |
| 0.9624093 |
| 0.5302165 |
| 0.3767266 |
| 0.9259931 |
| 0.2943259 |
| 0.7859164 |
| 0.6913718 |
| 1.3396667 |
| 0.3685473 |
| 0.5450244 |
| 0.4232999 |
| 0.3110923 |
| 0.9347124 |
| 0.5153132 |
| 0.7492085 |
| 0.6842436 |
| 0.3531315 |
| 1.0201674 |
| 0.6241502 |
| 0.6891624 |
| 0.6668201 |
| 0.9868829 |
| 0.2990566 |
| 0.6258744 |
| 0.5980470 |
| 0.7368824 |
| 0.4638683 |
| 1.2738561 |
| 0.6151191 |
| 1.1604195 |
| 0.6014526 |
| 0.6344305 |
| 1.0154414 |
| 1.3241131 |
| 0.3811610 |
| 0.8774724 |
| 1.3188952 |
| 1.5747364 |
| 0.4199564 |
| 0.3965143 |
| 0.4795659 |
| 0.3369532 |
| 1.3676644 |
| 0.4890199 |
| 1.3900914 |
| 0.7890953 |
| 0.7968014 |
| 1.3528340 |
| 0.3619456 |
| 1.0604057 |
| 1.3420495 |
| 0.7931864 |
| 0.7396832 |
| 0.5098624 |
| 0.6382366 |
| 0.5397294 |
| 0.8257274 |
| 0.4439403 |
| 0.4561585 |
| 0.1427227 |
| 0.4693036 |
| 0.4336529 |
| 0.7414305 |
| 0.8640912 |
| 0.8445410 |
| 0.7539890 |
| 0.1890342 |
| 1.3975734 |
| 0.5457662 |
| 0.6517093 |
| 1.2585110 |
| 0.9523042 |
| 0.5110467 |
| 0.5272977 |
| 1.0239755 |
| 1.5574077 |
| 0.8464005 |
| 0.5837978 |
| 0.6218593 |
| 0.6520993 |
| 0.4450436 |
| 1.4981889 |
| 0.8098613 |
| 0.4136820 |
| 0.4718080 |
| 0.5990276 |
| 0.4864143 |
| 0.6992008 |
| 1.1624579 |
| 0.2507977 |
| 1.3933186 |
| 0.2043808 |
| 0.4374378 |
| 0.5960416 |
| 0.5640955 |
| 0.4819422 |
| 0.3409018 |
| 0.3913741 |
| 0.4668774 |
| 0.6546055 |
| 0.2206218 |
| 1.2287809 |
| 0.5252407 |
| 0.8887567 |
| 0.6004413 |
| 0.5156547 |
| 0.8223679 |
| 0.4154322 |
| 1.1957271 |
| 0.9052406 |
| 0.3761738 |
| 0.4736459 |
| 0.4316355 |
| 0.6761426 |
| 0.9028472 |
| 0.5399655 |
| 0.5598636 |
| 0.5600283 |
| 0.5363452 |
| 0.6009761 |
| 0.4047095 |
| 0.6761784 |
| 1.0505981 |
| 0.7336124 |
| 0.3377062 |
| 0.7967952 |
| 0.6203559 |
| 0.6226397 |
| 1.1450307 |
| 0.4202269 |
| 0.5958560 |
| 1.1313279 |
| 0.9790153 |
| 0.8415554 |
| 0.6722782 |
| 0.5745283 |
| 0.7431343 |
| 0.1811965 |
| 0.3921482 |
| 0.3621413 |
| 1.5784955 |
| 0.5353332 |
| 0.5913243 |
| 0.8853366 |
| 0.7768982 |
| 0.7655978 |
| 0.8795760 |
| 0.5575175 |
| 0.4022462 |
| 0.6400118 |
| 0.8661485 |
| 0.5906543 |
| 0.7694967 |
| 0.8539486 |
| 0.2836193 |
| 0.6036369 |
| 1.0446590 |
| 0.6625734 |
| 0.3507162 |
| 0.8419024 |
| 0.3378999 |
| 1.1529459 |
| 0.7612632 |
| 0.5792030 |
| 0.9285287 |
| 0.7213824 |
| 0.6409770 |
| 0.6121308 |
| 0.3954879 |
| 0.4857497 |
| 0.8745020 |
| 0.1203333 |
| 0.4459189 |
| 0.5320884 |
| 1.4540273 |
| 0.8974864 |
| 0.2934679 |
| 0.4539270 |
| 0.5013454 |
| 0.3434947 |
| 0.2552473 |
| 0.7952386 |
| 0.9131248 |
| 0.3598182 |
| 0.9462537 |
| 0.3789359 |
| 0.6952630 |
| 0.7100909 |
| 0.5354019 |
| 0.4590192 |
| 0.7961006 |
| 0.5015887 |
| 1.2877540 |
| 0.5450707 |
| 0.4438887 |
| 0.8682102 |
| 0.2599660 |
| 0.3222810 |
| 0.3417950 |
| 0.5350565 |
| 0.9413620 |
| 0.5682793 |
| 0.4964530 |
| 1.2043891 |
| 0.7182093 |
| 1.7581534 |
| 1.0117681 |
| 0.2416130 |
| 0.4745679 |
| 1.5438817 |
| 0.7320119 |
| 0.8013905 |
| 1.3006745 |
| 0.7085860 |
| 0.4827483 |
| 0.4971663 |
| 1.0413892 |
| 0.7030325 |
| 0.5254348 |
| 0.4515406 |
| 0.4183098 |
| 1.4990234 |
| 0.5478275 |
| 1.1339977 |
| 0.4542608 |
| 1.3708267 |
| 0.5382134 |
| 0.3893940 |
| 0.5067322 |
| 1.8844688 |
| 0.5671843 |
| 1.3440908 |
| 0.4684132 |
| 0.8045746 |
| 0.6311056 |
| 0.3322454 |
| 0.6046977 |
| 0.4318753 |
| 1.1241018 |
| 0.9952674 |
| 1.1378396 |
| 0.4976170 |
| 0.3128305 |
| 0.3075876 |
| 1.3119939 |
| 0.4663967 |
| 1.0548913 |
| 1.0000644 |
| 0.3759890 |
| 0.5910717 |
| 0.4149445 |
| 0.5506450 |
| 0.8263304 |
| 0.6196869 |
| 0.7656160 |
| 0.6506640 |
| 1.5447753 |
| 1.3081912 |
| 0.9067869 |
| 0.5187135 |
| 0.6506465 |
| 0.5907908 |
| 1.6045374 |
| 0.6659286 |
| 0.7353881 |
| 1.1208839 |
| 0.4876974 |
| 0.7377233 |
| 0.7200410 |
| 0.4123178 |
| 0.8201631 |
| 1.1554313 |
| 1.3150505 |
| 0.6076924 |
| 0.8041505 |
| 0.5007459 |
| 0.7460747 |
| 1.4265353 |
| 1.0131089 |
| 1.2929803 |
| 0.4651060 |
| 1.1136672 |
| 0.4567318 |
| 0.2475404 |
| 0.9406475 |
| 0.3875383 |
| 0.8744967 |
| 0.2611779 |
| 0.8570597 |
| 0.4486219 |
| 0.6012752 |
| 1.1529500 |
| 0.3505862 |
| 0.5613900 |
| 0.9447018 |
| 0.4319221 |
| 0.3346265 |
| 1.2899876 |
| 1.2719237 |
| 0.2468104 |
| 0.4907422 |
| 0.3257700 |
| 0.8342711 |
| 0.3833929 |
| 0.6238450 |
| 0.9853942 |
| 0.8402590 |
| 0.3941817 |
| 1.1889768 |
| 0.4153908 |
| 0.7818056 |
| 0.9438364 |
| 1.4173230 |
| 0.4845279 |
| 0.7419829 |
| 0.3193506 |
| 1.2266615 |
| 0.8635135 |
| 0.7011401 |
| 0.9933125 |
| 0.7452494 |
| 0.4708207 |
| 0.6692643 |
| 0.4944072 |
| 0.8263516 |
| 0.4129466 |
| 0.4820902 |
| 0.9119021 |
| 1.0565110 |
| 0.4105888 |
| 0.5280929 |
| 0.5992631 |
| 0.4962782 |
| 0.6434269 |
| 1.1054412 |
| 0.5580052 |
| 0.6717896 |
| 0.5487978 |
| 0.2370882 |
| 0.3506941 |
| 0.6401355 |
| 0.6912394 |
| 0.2952832 |
| 0.5025555 |
| 0.5700902 |
| 0.8488273 |
| 0.5589288 |
| 0.5851535 |
| 1.8835679 |
| 0.7279495 |
| 0.5522574 |
| 0.7079018 |
| 0.9093136 |
| 0.5772017 |
| 0.3696550 |
| 1.4683643 |
| 1.3811883 |
| 0.8868903 |
| 1.2474436 |
| 0.4828581 |
| 0.6970935 |
| 0.9410670 |
| 0.2851929 |
| 0.3650081 |
| 0.4089128 |
| 0.6643466 |
| 1.1923842 |
| 0.4228811 |
| 0.3723508 |
| 0.7483965 |
| 0.7909172 |
| 0.4876174 |
| 0.8930792 |
| 0.5295215 |
| 0.7160805 |
| 0.9386462 |
| 0.3750960 |
| 0.5907078 |
| 1.2513737 |
| 0.5482688 |
| 0.6110014 |
| 0.8101178 |
| 0.6727570 |
| 1.2039772 |
| 0.7322390 |
| 0.7837047 |
| 0.6635104 |
| 0.8451473 |
| 0.4869859 |
| 0.2791484 |
| 0.3616057 |
| 0.7398014 |
| 0.5746817 |
| 0.3688910 |
| 0.6356721 |
| 0.7260559 |
| 0.5515862 |
| 0.1893721 |
| 0.6352714 |
| 0.3932790 |
| 0.7118024 |
| 0.5728417 |
| 0.9064782 |
| 0.8954894 |
| 0.4058069 |
| 1.0512356 |
| 0.4118900 |
| 0.9035263 |
| 0.8680627 |
| 0.7933876 |
| 0.9669416 |
| 1.1193324 |
| 0.4985617 |
| 0.5437239 |
| 1.0439452 |
| 0.5873625 |
| 0.7507451 |
| 0.7944443 |
| 0.5152416 |
| 0.7484352 |
| 1.3249686 |
| 0.9024992 |
| 0.8943048 |
| 0.3635381 |
| 1.3237879 |
| 0.3258421 |
| 0.7355077 |
| 0.8456731 |
| 0.6917017 |
| 0.3999950 |
| 0.6305711 |
| 1.2754373 |
| 0.7571967 |
| 0.4525972 |
| 0.8421507 |
| 0.3237378 |
| 1.1136053 |
| 0.2921645 |
| 0.5136614 |
| 0.9415910 |
| 0.6744205 |
| 0.5203029 |
| 1.1629880 |
| 0.4799301 |
| 0.8784558 |
| 0.8594332 |
| 0.4593654 |
| 0.4472346 |
| 1.0152282 |
| 1.0213032 |
| 0.4839646 |
| 1.1619519 |
| 0.8031781 |
| 0.3487872 |
| 0.3601441 |
| 0.7513266 |
| 1.7420342 |
| 0.4892277 |
| 0.9102921 |
| 1.3498946 |
| 1.0634829 |
| 0.9841468 |
| 0.6533350 |
| 0.4911308 |
| 0.8355264 |
| 0.3825717 |
| 1.3532818 |
| 1.2008871 |
| 0.7975874 |
| 0.4280228 |
| 0.5153429 |
| 0.2845038 |
| 0.6188299 |
| 0.4634984 |
| 0.7235212 |
| 0.8991728 |
| 0.8522841 |
| 0.8359175 |
| 1.3639114 |
| 0.6124320 |
| 0.3336859 |
| 0.5544551 |
| 1.4195989 |
| 0.9432832 |
| 2.1035259 |
| 0.5778131 |
| 0.9638222 |
| 1.1603311 |
| 0.7362012 |
| 1.1224923 |
| 1.4095029 |
| 0.6010725 |
| 0.4193927 |
| 0.8590122 |
| 0.9737717 |
| 0.5718711 |
| 0.7525095 |
| 1.3199070 |
| 0.6580178 |
| 0.8655905 |
| 0.7521111 |
| 0.7974997 |
| 0.3629264 |
| 1.3673995 |
| 1.0266641 |
| 0.4958877 |
| 0.6222213 |
| 1.0755954 |
| 1.3709336 |
| 0.9980137 |
| 0.8815946 |
| 0.4953584 |
| 0.6596860 |
| 0.4769304 |
| 0.9309746 |
| 0.4869718 |
| 0.5788335 |
| 0.5602024 |
| 0.4352589 |
| 0.5978650 |
| 0.6389014 |
| 0.4502731 |
| 0.4849566 |
| 1.2876659 |
| 1.0876969 |
| 1.1612583 |
| 0.5187682 |
| 1.2089221 |
| 0.4590628 |
| 0.2826663 |
| 0.7437318 |
| 0.4989413 |
| 0.3701192 |
| 0.7692029 |
| 0.8661300 |
| 0.2938471 |
| 0.5779509 |
| 0.2060905 |
| 0.7783387 |
| 1.1115934 |
| 0.3953491 |
| 0.7185831 |
| 1.0097166 |
| 0.6431893 |
| 0.5768775 |
| 1.3712843 |
| 0.5977876 |
| 1.5153021 |
| 0.9180131 |
| 0.3191113 |
| 0.5279385 |
| 0.1915338 |
| 1.3472456 |
| 0.4681964 |
| 0.6111548 |
| 0.2844279 |
| 0.3535475 |
| 0.8437886 |
| 0.4253412 |
| 0.9774999 |
| 0.5502133 |
| 1.2906142 |
| 0.3401884 |
| 0.9199626 |
| 0.5466888 |
| 0.6522566 |
| 0.5976950 |
| 0.9916607 |
| 1.1945578 |
| 0.5023108 |
| 0.6296958 |
| 0.6210132 |
| 0.4211277 |
| 1.1051844 |
| 0.4475533 |
| 1.1759972 |
| 0.4088543 |
| 0.4144634 |
| 0.9050131 |
| 1.0685352 |
| 0.4877303 |
| 1.1223819 |
| 0.8046299 |
| 0.4076962 |
| 0.2894843 |
| 1.3942424 |
| 0.9496811 |
| 0.3871433 |
| 0.1713370 |
| 0.8637234 |
| 0.9973762 |
| 0.6339994 |
| 0.6202122 |
| 0.7643730 |
| 0.5117229 |
| 0.3525258 |
| 0.8303832 |
| 0.5105387 |
| 0.7873152 |
| 0.2857099 |
| 0.2574763 |
| 0.6498034 |
| 0.7528865 |
| 0.1410024 |
| 0.8231418 |
| 1.2497662 |
| 0.5417551 |
| 1.1727624 |
| 1.0180188 |
| 0.8844856 |
| 0.4834067 |
| 0.4524428 |
| 0.4353016 |
| 0.3069598 |
| 0.4635478 |
| 0.8159243 |
| 0.4436225 |
| 0.6906575 |
| 0.5392135 |
| 0.3498052 |
| 0.9701062 |
| 0.7810576 |
| 0.3291369 |
| 0.7659629 |
| 0.2243671 |
| 0.5467884 |
| 0.6045200 |
| 1.0153473 |
| 0.6116339 |
#Histogram to display Sum of Exponentials
hist(Y, main = "Sum of n Exponential pdfs Observations", col = "#381b45", xlab = "Random variable X", border = "black", bg = "#f2e6f7", lwd = 2)
Probability Density 3: Z~ Exponential.
Then generate 10,000 observations from a single exponential pdf with rate/shape parameter \(\lambda\).
NOTE: The Gamma distribution is quite common in data science. For example, it is used to model failures for multiple processes when each of those processes has the same failure rate. The exponential is used for constant failure rates, service times, etc.
Solution
lambda is set to 9. The
rexp() function generates random values
from an exponential distribution with a given rate parameter, which is
set to lambda. The function generates
10,000 values, which are stored in the variable
X.
Z <- rexp(observation_no, rate = lambda)
df <- data.frame(Z)
df %>% kable() %>%
kable_styling(bootstrap_options = "striped", font_size = 12) %>%
scroll_box(height = "300px", width = "100%")| Z |
|---|
| 0.1311754 |
| 0.2717850 |
| 0.0412918 |
| 0.6463294 |
| 0.3609894 |
| 0.4165606 |
| 0.0507654 |
| 0.1760049 |
| 0.2196107 |
| 0.0112682 |
| 0.0336009 |
| 0.0814333 |
| 0.2079765 |
| 0.1465922 |
| 0.3040010 |
| 0.4797048 |
| 0.1118663 |
| 0.0135407 |
| 0.0296265 |
| 0.1557412 |
| 0.0594531 |
| 0.1035833 |
| 0.0705361 |
| 0.4688716 |
| 0.0014368 |
| 0.0179821 |
| 0.1294748 |
| 0.0549110 |
| 0.0002576 |
| 0.1490684 |
| 0.4471055 |
| 0.2157850 |
| 0.0216338 |
| 0.0457161 |
| 0.4322035 |
| 0.0301406 |
| 0.0414768 |
| 0.0074568 |
| 0.1614682 |
| 0.1955021 |
| 0.0404358 |
| 0.0879251 |
| 0.0347753 |
| 0.3397228 |
| 0.0722272 |
| 0.0937309 |
| 0.0585888 |
| 0.0843408 |
| 0.1462943 |
| 0.0015416 |
| 0.0487827 |
| 0.0390121 |
| 0.1398185 |
| 0.0917224 |
| 0.0180187 |
| 0.1262019 |
| 0.1458829 |
| 0.0536256 |
| 0.0898447 |
| 0.0182445 |
| 0.1294319 |
| 0.0786322 |
| 0.1572946 |
| 0.2395584 |
| 0.1626576 |
| 0.2512929 |
| 0.0414587 |
| 0.1011840 |
| 0.2093771 |
| 0.1423111 |
| 0.3172485 |
| 0.0143348 |
| 0.0066081 |
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| 0.0747893 |
| 0.1384613 |
| 0.0147732 |
| 0.2696400 |
| 0.0109649 |
| 0.2091561 |
| 0.2190904 |
| 0.1297442 |
| 0.1858957 |
| 0.0855255 |
| 0.2253962 |
| 0.0034495 |
| 0.0169356 |
| 0.2513782 |
| 0.0963586 |
| 0.1015911 |
| 0.7346767 |
| 0.5715185 |
| 0.1010941 |
| 0.2743010 |
| 0.2379302 |
| 0.0734976 |
| 0.1253183 |
| 0.0553079 |
| 0.0422381 |
| 0.0324684 |
| 0.0452300 |
| 0.0154578 |
| 0.0659784 |
| 0.0322856 |
| 0.0084581 |
| 0.0625421 |
| 0.0281528 |
| 0.0224647 |
| 0.1478893 |
| 0.0113516 |
| 0.0154220 |
| 0.0165317 |
| 0.0049830 |
| 0.0251245 |
| 0.0674510 |
| 0.6012384 |
| 0.0484271 |
| 0.0561966 |
| 0.1532368 |
| 0.1298216 |
| 0.0045313 |
| 0.0839636 |
| 0.1799841 |
| 0.1469213 |
| 0.0554668 |
| 0.1231945 |
| 0.0074241 |
| 0.0381976 |
| 0.1088154 |
| 0.1548095 |
| 0.1829208 |
| 0.0749257 |
| 0.0420348 |
| 0.0683642 |
| 0.0937666 |
| 0.2450198 |
| 0.4075006 |
| 0.0078649 |
| 0.1075544 |
| 0.0030862 |
| 0.0745036 |
| 0.3790807 |
| 0.2470816 |
| 0.0049220 |
| 0.0194738 |
| 0.0338487 |
| 0.3946081 |
| 0.0181658 |
| 0.0917205 |
| 0.6736902 |
| 0.0699677 |
| 0.0103988 |
| 0.0331279 |
| 0.0178096 |
| 0.3801817 |
| 0.0637319 |
| 0.0820303 |
| 0.1263970 |
| 0.0152313 |
| 0.2360307 |
| 0.2551739 |
| 0.0389027 |
| 0.0245085 |
| 0.0352335 |
| 0.1801712 |
| 0.0365945 |
| 0.1370115 |
| 0.5648459 |
| 0.0799594 |
| 0.0307566 |
| 0.0396435 |
| 0.0301486 |
| 0.3088075 |
| 0.1240659 |
| 0.2280214 |
| 0.2617813 |
| 0.0119804 |
| 0.1153061 |
| 0.1969507 |
| 0.0957853 |
| 0.0142587 |
| 0.2547591 |
| 0.0952936 |
| 0.2386436 |
| 0.5984287 |
| 0.0761109 |
| 0.1365967 |
| 0.2449317 |
| 0.2908302 |
| 0.0438263 |
| 0.0902415 |
| 0.2854681 |
| 0.0527997 |
| 0.0810070 |
| 0.2934836 |
| 0.2957087 |
| 0.1650291 |
| 0.0339741 |
| 0.0067940 |
| 0.0384773 |
| 0.3096911 |
| 0.0302107 |
| 0.2437462 |
| 0.3589850 |
| 0.0378841 |
| 0.1779461 |
| 0.0814367 |
| 0.2516361 |
| 0.1939944 |
| 0.2854649 |
| 0.2788746 |
| 0.3291452 |
| 0.0434049 |
| 0.4122996 |
| 0.0561868 |
| 0.0196483 |
| 0.0810632 |
| 0.0591886 |
| 0.0233678 |
| 0.0563825 |
| 0.0638714 |
| 0.0297529 |
| 0.0431724 |
| 0.1803716 |
| 0.1724569 |
| 0.0518424 |
| 0.2819422 |
| 0.1366227 |
| 0.0240880 |
| 0.5134599 |
| 0.0999371 |
| 0.0716220 |
| 0.0440402 |
| 0.1371963 |
| 0.0470042 |
| 0.0646919 |
| 0.1578798 |
| 0.0656561 |
| 0.2892392 |
| 0.0523064 |
| 0.2400483 |
| 0.1737929 |
| 0.1468409 |
| 0.1932457 |
| 0.0369976 |
| 0.0091539 |
| 0.0663429 |
| 0.2133120 |
| 0.1308946 |
| 0.3743199 |
| 0.1846027 |
| 0.0191096 |
| 0.0864583 |
| 0.1074669 |
| 0.1193429 |
| 0.2120213 |
| 0.1903161 |
| 0.1744753 |
| 0.1817702 |
| 0.2997191 |
| 0.4294149 |
| 0.0040642 |
| 0.0003688 |
| 0.1297581 |
| 0.2432388 |
| 0.1014432 |
| 0.0511293 |
| 0.0841072 |
| 0.0397202 |
| 0.3059281 |
| 0.0425489 |
| 0.0622065 |
| 0.0271777 |
| 0.2327866 |
| 0.0054208 |
| 0.1082200 |
| 0.1177704 |
| 0.1057289 |
| 0.1749730 |
| 0.2803733 |
| 0.0388614 |
| 0.1666024 |
| 0.0178582 |
| 0.0352592 |
| 0.1506020 |
| 0.0341264 |
| 0.2627714 |
| 0.1698009 |
| 0.2106920 |
| 0.0922215 |
| 0.2405727 |
| 0.0335055 |
| 0.0304400 |
| 0.0453244 |
| 0.0777944 |
| 0.0026834 |
| 0.0533516 |
| 0.0471985 |
| 0.0332649 |
| 0.0039133 |
| 0.2022779 |
| 0.0363805 |
| 0.1476429 |
| 0.1178243 |
| 0.0492362 |
| 0.1440411 |
| 0.0004616 |
| 0.2269761 |
| 0.0596343 |
| 0.2108316 |
| 0.0173381 |
| 0.1469120 |
| 0.0014134 |
| 0.0779974 |
| 0.1361516 |
| 0.0823447 |
| 0.0055977 |
| 0.0237077 |
| 0.1829857 |
| 0.1143641 |
| 0.0078786 |
| 0.0139926 |
| 0.1045315 |
| 0.0153640 |
| 0.0421471 |
| 0.2059017 |
| 0.1659484 |
| 0.1807179 |
| 0.0058193 |
| 0.0416588 |
| 0.1938252 |
| 0.0749467 |
| 0.0281703 |
| 0.0100086 |
| 0.0494857 |
| 0.1917130 |
| 0.0587683 |
| 0.0992798 |
| 0.0180529 |
| 0.0384052 |
| 0.1630440 |
| 0.0202873 |
| 0.1873988 |
| 0.0195253 |
| 0.1273304 |
| 0.1118373 |
| 0.0656383 |
| 0.3323537 |
| 0.1478282 |
| 0.1405718 |
| 0.0836999 |
| 0.1319986 |
| 0.1517961 |
| 0.2439476 |
| 0.0504778 |
| 0.1651466 |
| 0.2362784 |
| 0.0183612 |
| 0.0529007 |
| 0.2411321 |
| 0.0919483 |
| 0.4312917 |
| 0.2301287 |
| 0.0677473 |
| 0.1299832 |
| 0.0186766 |
| 0.0360544 |
| 0.1192163 |
| 0.4223385 |
| 0.1291657 |
| 0.1028515 |
| 0.6476031 |
| 0.0387987 |
| 0.0835036 |
| 0.0653324 |
| 0.2838415 |
| 0.2601980 |
| 0.0503013 |
| 0.0678003 |
| 0.0175739 |
| 0.0313739 |
| 0.2600821 |
| 0.1047801 |
| 0.0996515 |
| 0.0443888 |
| 0.0428410 |
| 0.0541591 |
| 0.0536075 |
| 0.1572855 |
| 0.1101547 |
| 0.0659853 |
| 0.1043582 |
| 0.0828331 |
| 0.0973924 |
| 0.0416432 |
| 0.0577983 |
| 0.0332875 |
| 0.0674266 |
| 0.1996284 |
| 0.1722596 |
| 0.0859095 |
| 0.1126900 |
| 0.0855429 |
| 0.0187714 |
| 0.1006507 |
| 0.5909566 |
| 0.1978294 |
| 0.1041497 |
| 0.0132009 |
| 0.0056490 |
| 0.2122508 |
| 0.0741246 |
| 0.1142537 |
| 0.0457020 |
| 0.1379883 |
| 0.0967696 |
| 0.1753140 |
| 0.0400552 |
| 0.6708456 |
| 0.5484656 |
| 0.0233169 |
| 0.0378970 |
| 0.2867309 |
| 0.0595948 |
| 0.0347467 |
| 0.1994199 |
| 0.0629432 |
| 0.0136477 |
| 0.1380338 |
| 0.0206884 |
| 0.2131891 |
| 0.3325252 |
| 0.2332351 |
| 0.0048483 |
| 0.4899101 |
| 0.3153354 |
| 0.0321531 |
| 0.1375101 |
| 0.2493082 |
| 0.0713825 |
| 0.2702409 |
| 0.6378182 |
| 0.0640380 |
| 0.1935168 |
| 0.4321554 |
| 0.3220314 |
| 0.2304297 |
| 0.0141773 |
| 0.2305865 |
| 0.4392678 |
| 0.0703576 |
| 0.0281976 |
| 0.0582520 |
| 0.3033480 |
| 0.1352709 |
| 0.1244102 |
| 0.1523615 |
| 0.4240971 |
| 0.0675628 |
| 0.0961419 |
| 0.0375304 |
| 0.3756315 |
| 0.4936913 |
| 0.0250589 |
| 0.0170926 |
| 0.1230374 |
| 0.0040515 |
| 0.4105490 |
| 0.0740027 |
| 0.1103738 |
| 0.0221471 |
| 0.3962720 |
| 0.1549482 |
| 0.0927811 |
| 0.1708703 |
| 0.2310241 |
| 0.1179451 |
| 0.1896583 |
| 0.0772082 |
| 0.0531758 |
| 0.2423763 |
| 0.0078731 |
| 0.0517241 |
| 0.2238239 |
| 0.0282337 |
| 0.0529593 |
| 0.1569456 |
| 0.2044450 |
| 0.1881373 |
| 0.0595088 |
| 0.1236558 |
| 0.0645616 |
| 0.2075340 |
| 0.2275619 |
| 0.2885027 |
| 0.0621511 |
| 0.3349366 |
| 0.3512111 |
| 0.3302631 |
| 0.2966766 |
| 0.0140930 |
| 0.2728666 |
| 0.0974162 |
| 0.1611496 |
| 0.3040592 |
| 0.0426808 |
| 0.1977163 |
| 0.3210932 |
| 0.0610417 |
| 0.1173178 |
| 0.0395898 |
| 0.0182609 |
| 0.1207207 |
| 0.0660496 |
| 0.0706611 |
| 0.0831318 |
| 0.2135975 |
| 0.1846178 |
| 0.1002746 |
| 0.3019391 |
| 0.0443254 |
| 0.0396317 |
| 0.3055844 |
| 0.0613863 |
| 0.0778961 |
| 0.0788810 |
| 0.0662252 |
| 0.2256983 |
| 0.1094042 |
| 0.1640912 |
| 0.0482559 |
| 0.0469422 |
| 0.2783731 |
| 0.5105917 |
| 0.0062368 |
| 0.2608305 |
| 0.0104959 |
| 0.2485953 |
| 0.0963470 |
| 0.2098024 |
| 0.4015751 |
| 0.0804409 |
| 0.0167891 |
| 0.0487911 |
| 0.0166029 |
| 0.0330146 |
| 0.0352702 |
| 0.0784366 |
| 0.2997322 |
| 0.0687556 |
| 0.3948725 |
| 0.1396944 |
| 0.4027244 |
| 0.1528562 |
| 0.0922368 |
| 0.0631299 |
| 0.2334449 |
| 0.2477233 |
| 0.2708826 |
| 0.0561754 |
| 0.0579341 |
| 0.5220856 |
| 0.1972103 |
| 0.0233903 |
| 0.1378373 |
| 0.3137541 |
| 0.0015886 |
| 0.1906344 |
| 0.0736200 |
| 0.1200093 |
| 0.1284749 |
| 0.3529247 |
| 0.0469312 |
| 0.1045398 |
| 0.0873140 |
| 0.0395063 |
| 0.0663737 |
| 0.1394377 |
| 0.0779444 |
| 0.0139484 |
| 0.4279290 |
| 0.4616989 |
| 0.0656600 |
| 0.0507749 |
| 0.0123106 |
| 0.2759444 |
| 0.0368975 |
| 0.0003606 |
| 0.5340284 |
| 0.0469127 |
| 0.2121604 |
| 0.1767947 |
| 0.1079954 |
| 0.2759675 |
| 0.0403600 |
| 0.2531702 |
| 0.2763292 |
| 0.3495371 |
| 0.2502949 |
| 0.1887571 |
| 0.0235322 |
| 0.0377573 |
| 0.1966298 |
| 0.4937222 |
| 0.0339480 |
| 0.1783788 |
| 0.5818885 |
| 0.3280010 |
| 0.2404537 |
| 0.0508569 |
| 0.0322964 |
| 0.0837078 |
| 0.1490162 |
| 0.1267875 |
| 0.0045544 |
| 0.1992712 |
| 0.1373179 |
| 0.1344754 |
| 0.1624997 |
| 0.2136215 |
| 0.1074940 |
| 0.0570651 |
| 0.1661285 |
| 0.0302555 |
| 0.0024296 |
| 0.5688780 |
| 0.1045917 |
| 0.0741438 |
| 0.2329814 |
| 0.0909178 |
| 0.2222112 |
| 0.0060774 |
| 0.0065991 |
| 0.0593630 |
| 0.0061842 |
| 0.0065872 |
| 0.1018057 |
| 0.2222434 |
| 0.0317986 |
| 0.1779619 |
| 0.0370716 |
| 0.0018861 |
| 0.1840741 |
| 0.0556984 |
| 0.3043449 |
| 0.1246526 |
| 0.0360188 |
| 0.0323587 |
| 0.0272103 |
| 0.0215549 |
| 0.0312585 |
| 0.0572987 |
| 0.2640671 |
| 0.2072269 |
| 0.1272667 |
| 0.0007438 |
| 0.0101731 |
| 0.1989905 |
| 0.1182294 |
| 0.0460633 |
| 0.0759343 |
| 0.0686726 |
| 0.1166370 |
| 0.3341906 |
| 0.0092982 |
| 0.4782488 |
| 0.8865686 |
| 0.0067614 |
| 0.0558690 |
| 0.0718200 |
| 0.0021290 |
| 0.1477455 |
| 0.0028665 |
| 0.0995715 |
| 0.2351812 |
| 0.0321429 |
| 0.1385304 |
| 0.2147414 |
| 0.0268116 |
| 0.1078371 |
| 0.0059621 |
| 0.3279569 |
| 0.0331246 |
| 0.0096011 |
| 0.0481346 |
| 0.2962428 |
| 0.0211221 |
| 0.1826004 |
| 0.0450293 |
| 0.0542502 |
| 0.0779530 |
| 0.2649113 |
| 0.1153398 |
| 0.1264632 |
| 0.1961440 |
| 0.0628868 |
| 0.0086274 |
| 0.0673664 |
| 0.4908197 |
| 0.0781837 |
| 0.1043679 |
| 0.0324700 |
| 0.0687711 |
| 0.0134812 |
| 0.0371698 |
| 0.3501187 |
| 0.1297858 |
| 0.3226360 |
| 0.1929639 |
| 0.0496025 |
| 0.0457194 |
| 0.1364332 |
| 0.0472047 |
| 0.1052703 |
| 0.0470433 |
| 0.0369193 |
| 0.0795345 |
| 0.0428004 |
| 0.1290021 |
| 0.0084055 |
| 0.0388451 |
| 0.2284002 |
| 0.1164228 |
| 0.2271289 |
| 0.1373528 |
| 0.0038149 |
| 0.2886641 |
| 0.1080087 |
| 0.0313213 |
| 0.0589095 |
| 0.3946210 |
| 0.0625786 |
| 0.1906426 |
| 0.0693147 |
| 0.1966219 |
| 0.1271514 |
| 0.3016081 |
| 0.1664058 |
| 0.1673061 |
| 0.0963719 |
| 0.1359204 |
| 0.1299829 |
| 0.1283996 |
| 0.0285642 |
| 0.1129676 |
| 0.3186265 |
| 0.1069532 |
| 0.0493096 |
| 0.1599146 |
| 0.0942296 |
| 0.0051623 |
| 0.2179822 |
| 0.1226850 |
| 0.2555185 |
| 0.2191760 |
| 0.0443528 |
| 0.0618914 |
| 0.0304780 |
| 0.3523463 |
| 0.0491514 |
| 0.3177637 |
| 0.0012055 |
| 0.0555956 |
| 0.0913048 |
| 0.0426870 |
| 0.0394304 |
| 0.0232198 |
| 0.0132926 |
| 0.1346966 |
| 0.1365275 |
| 0.0674702 |
| 0.1459594 |
| 0.0862872 |
| 0.4101565 |
| 0.1060387 |
| 0.0967546 |
| 0.0182986 |
| 0.1689083 |
| 0.5075877 |
| 0.0000865 |
| 0.1397227 |
| 0.0174115 |
| 0.3865086 |
| 0.2286409 |
| 0.1670394 |
| 0.3689736 |
| 0.0376462 |
| 0.4521792 |
| 0.0653657 |
| 0.1707222 |
| 0.2469085 |
| 0.0387453 |
| 0.4051560 |
| 0.3591947 |
| 0.2164896 |
| 0.1611306 |
| 0.6179479 |
| 0.1236482 |
| 0.0117817 |
| 0.0128686 |
| 0.1684354 |
| 0.2430461 |
| 0.0283646 |
| 0.3442454 |
| 0.1303731 |
| 0.0485787 |
| 0.3193032 |
| 0.2319815 |
| 0.5482969 |
| 0.0761296 |
| 0.1103873 |
| 0.0149723 |
| 0.0870824 |
| 0.4932092 |
| 0.0847440 |
| 0.0944757 |
| 0.8195776 |
| 0.2148432 |
| 0.0789098 |
| 0.3582214 |
| 0.0426730 |
| 0.4120638 |
| 0.2933224 |
| 0.0314066 |
| 0.2518161 |
| 0.1298763 |
| 0.0323488 |
| 0.1471955 |
| 0.1943307 |
| 0.0368812 |
| 0.0725890 |
| 0.0616129 |
| 0.0200527 |
| 0.0848899 |
| 0.0100437 |
| 0.0168750 |
| 0.0036518 |
| 0.2277711 |
| 0.0549627 |
| 0.0772721 |
| 0.0567614 |
| 0.1091013 |
| 0.0195459 |
| 0.0065340 |
| 0.2553096 |
| 0.0425704 |
| 0.0151646 |
| 0.1766967 |
| 0.2611195 |
| 0.1178878 |
| 0.4342703 |
| 0.1750665 |
| 0.3543213 |
| 0.3717001 |
| 0.1899161 |
| 0.1539628 |
| 0.0188544 |
| 0.0664820 |
| 0.0186566 |
| 0.0154299 |
| 0.0544889 |
| 0.2159279 |
| 0.2392110 |
| 0.2941471 |
| 0.1316414 |
| 0.0292001 |
| 0.3645995 |
| 0.0120575 |
| 0.0175481 |
| 0.1682039 |
| 0.1255256 |
| 0.1350220 |
| 0.2043236 |
| 0.0340841 |
| 0.0760193 |
| 0.2296527 |
| 0.0090429 |
| 0.0063316 |
| 0.3139884 |
| 0.0195915 |
| 0.0286079 |
| 0.2479634 |
| 0.4284939 |
#Histogram to display Sum of Exponentials
hist(Z, main = "Single Exponential pdfs Observations", col = "#381b45", xlab = "Random variable X", border = "black", bg = "#f2e6f7", lwd = 2)
Problem 1a
Calculate the empirical expected value (means) and variances of all three pdfs.
Solution
To calculate the empirical expected value (mean) and variance of the
three PDFs generated earlier, I have used the
mean() and
var() functions in R.
The mean and variance of each PDF is calculated using the
mean() and
var() functions. The mean and variance of
the Gamma distribution are calculated for the variable
X1, the sum of exponential distributions
for X2, and the single exponential
distribution for X3. The resulting means
and variances are stored in mean_X1,
mean_X2,
mean_X3,
var_X1,
var_X2, and
var_X3.
mean_X1 <- mean(X)
var_X1 <- var(X)
mean_X2 <- mean(Y)
var_X2 <- var(Y)
mean_X3 <- mean(Z)
var_X3 <- var(Z)
# Output results
print(paste0("Gamma distribution: mean =", mean_X1, ", variance =", var_X1))## [1] "Gamma distribution: mean =0.711542923313183, variance =0.0988110248911173"print(paste0("Sum of exponentials: mean =", mean_X2, ", variance =", var_X2))## [1] "Sum of exponentials: mean =0.715464777771924, variance =0.101730330795629"print(paste0("Single exponential distribution: mean =", mean_X3, ", variance =", var_X3))## [1] "Single exponential distribution: mean =0.142222483717883, variance =0.0205207503757703"Problem 1b
Using calculus, calculate the expected value and variance of the Gamma pdf \((X)\). Using the moment generating function for exponentials, calculate the expected value of the single exponential \((Z)\) and the sum of exponentials \((Y)\)
Solution
To calculate the expected value and variance of the Gamma distribution in \((X)\) using calculus, the properties of the Gamma distribution can be utilized.
The expected value of a Gamma distribution with parameters n and λ is given by: \(E(X) = n/λ\)
With \(n = 5\) and \(λ = 7\), the result is \(E(X) = n/λ = 5/7\)
The variance of a Gamma distribution with parameters n and λ is given by: \(Var(X) = n/(λ^2)\), the result is \(Var(X) = 5/49\)
\(n\) and \(λ\) were chosen to be \(5\) and \(7\), respectively.
ExpVal_X <- n/lambda
Var_X <- n/lambda^2
print(paste0("The Expected Value of the Gamma pdf (X) is: ", ExpVal_X, " and the variance of the Gamma pdf (X) is: ", Var_X))## [1] "The Expected Value of the Gamma pdf (X) is: 0.714285714285714 and the variance of the Gamma pdf (X) is: 0.102040816326531"The following formula can be use to find the expected value of a Gamma PDF with shape parameter α and rate parameter λ
\(E(X)=\displaystyle\int_0^{\infty} xfX(x)dx\)
Where \(f_X(x)\) is the Gamma PDF. Substituting the Gamma PDF expression and solving the integral, we get: \(E(X)= \displaystyle\int_0^{\infty}x\frac{\lambda^{\alpha}}{\Gamma(\alpha)}x^{\alpha-1}e^{-\lambda x}dx\)
Using the fact that \(\Gamma(\alpha) = (\alpha - 1)!\), the expression can be simplified to: \(E(X)= \frac{\lambda^{\alpha}}{(\alpha-1)!} \displaystyle\int_0^{\infty} x^{\alpha}e^{-\lambda x}dx\)
Noting that the integral is the Gamma function with parameters α+1 and λ, we can simplify this expression to: \(\begin{align*} E(X) &= \frac{\alpha}{\lambda} \end{align*}\)
\(\begin{align*} E(X) &= \int_{0}^{\infty} x^2 \cdot \frac{\lambda^\alpha}{\Gamma(\alpha)} x^{\alpha-1} e^{-\lambda x} dx \end{align*}\) \(\begin{align*} &= \frac{\lambda^\alpha}{\Gamma(\alpha)} \int_{0}^{\infty} x^{\alpha+1} e^{-\lambda x} dx \end{align*}\) \(\begin{align*} &= \frac{\lambda^\alpha}{\Gamma(\alpha)} \Gamma(\alpha+2) \end{align*}\)
\(\begin{align*} &= \frac{\alpha(\alpha+1)}{\lambda^2} \end{align*}\)
\(\begin{align*} &= \frac{5(5+1)}{7^2} \end{align*}\)
The expected value of the Gamma distribution is: \(\begin{align*} = \frac{5}{7} = 0.7142\end{align*}\)
The variance of the Gamma distribution is:
\(\begin{align*} \operatorname{Var}(X) &= E(X^2) - (E(X))^2 \end{align*}\)
To find \(E(X^2)\), the following formula can be used:
\(E(X^2)=\displaystyle\int_0^{\infty} x^2fX(x)dx - \left(\frac{n}{\lambda}\right)^2\)
Substituting the Gamma PDF expression and solving the integral, we get: \(E(X^2)= \displaystyle\int_0^{\infty}x^2\frac{\lambda^{\alpha}}{\Gamma(\alpha)}x^{\alpha-1}e^{-\lambda x}dx - \left(\frac{n}{\lambda}\right)^2\)
\(= \frac{n}{\lambda^2} = \left(\frac{5}{7^2}\right)\)
\(\begin{align*} = \frac{5}{49} = 0.1020 \end{align*}\)
So the variance of the Gamma distribution with \(\alpha = 5\) and \(\lambda = 7\) is \(0.1020\).
Using the moment generating function for exponentials, calculate the expected value of the single exponential \((Z)\) and the sum of exponentials \((Y)\)
To calculate the expected value of the single exponential in \((Z)\) using the moment generating function (MGF) of exponential random variables.
For a single exponential with rate/shape parameter \(λ\), we have \(λ = 7\).
exp_Z <- 1/lambda
print(paste0("The Expected Value of a single exponential (Z) is: ", exp_Z))## [1] "The Expected Value of a single exponential (Z) is: 0.142857142857143"The moment generating function (MGF) of an exponential distribution with parameter \(\lambda\) is given by:
\(Mz(t)= E(e^{tZ}) = \displaystyle\int_0^{\infty}e^{tz}\lambda e^{-\lambda z}dz\)
\(Mz(t) = (\frac{\lambda}{\lambda-t}), t < \lambda\)
Using the moment generating function (MGF), the expected value of \(Z\) can be calculated as follows:
\(\begin{align*} E(Z) &= M_Z'(0) \end{align*}\)
\(\begin{align*} = \left(\frac{\lambda}{\lambda-t}\right)'{t=0} \end{align*}\) \(\begin{align*}= \frac{\lambda}{(\lambda-t)^2}\bigg|{t=0} \end{align*}\) \(\begin{align*} = \frac{1}{\lambda} = \frac{1}{7} \end{align*}\)
Therefore, the expected value of a single exponential with parameter \(\lambda=7\).
The Expected value (mean): \(1 / λ = 1/7 = 0.1429\)
To calculate the sum of exponentials in \((Y)\) using the moment generating function (MGF) of exponential random variables.
sumexp_Y <- n/lambda
print(paste0("The sum of exponentials (Y) is: ", sumexp_Y))## [1] "The sum of exponentials (Y) is: 0.714285714285714"For the sum of \(n\) exponential random variables, each with rate/shape parameter λ, we have \(n = 5\) and \(λ = 7\).
The sum of \(n\) independent exponential random variables with the same parameter \(\lambda\). The MGF of the sum \(Y = \sum_{i=1}^{n} Z_i\) is given by:\(M_Y(t)=(\frac{\lambda}{\lambda-t})^n = (\frac{5}{5-t})^n , t < 5\)
Using this moment generating function (MGF), we can calculate the expected value of \(Y\) as follows:
\(\begin{align*} E(Y) &= M_Y'(0)\end{align*}\) \(\begin{align*} = n \left(\frac{\lambda}{\lambda-t}\right)^{n-1} \left(\frac{\lambda}{\lambda-t}\right)'{t=0} \end{align*}\) \(\begin{align*} = n \left(\frac{\lambda}{\lambda-t}\right)^{n-1} \frac{\lambda}{(\lambda-t)^2}\bigg|{t=0} \end{align*}\)
\(\begin{align*} = n \cdot \frac{1}{\lambda} \ &= \frac{n}{\lambda} \ &= \frac{n}{7} \end{align*}\)
Therefore, the expected value of the sum of \(n\) independent exponential random variables with parameter \(\lambda=7\) .
Expected value (mean): \(= n/λ = 5/7 = 0.7143\)
Problem 1c-e
Probability. For pdf Z (the exponential), calculate empirically probabilities a through c. Then evaluate through calculus whether the memoryless property holds.
c. \(P(Z > \lambda | Z > {\lambda \over 2})\)
# Calculate the empirical probability P(Z > λ | Z > λ/2)
# Count the number of observations satisfying the condition
count_ob <- sum(Z > lambda/2 & Z > lambda)
# Calculate the empirical probability
if (any(count_ob)) {
prob_empirical <- count_ob / sum(Z > lambda/2)
} else {
prob_empirical <- 0
}
# Print the result
print(paste0("The Empirical probability of (P(Z > l | Z > l/2)) is - ", prob_empirical))## [1] "The Empirical probability of (P(Z > l | Z > l/2)) is - 0"To calculate the empirical probabilities and evaluate the memoryless property, let’s consider the exponential distribution with parameter \(\lambda=7\).
First, we will calculate the empirical probabilities of \(P(Z > l | Z > \frac{l}{2})\) using a simulation approach in R. We will generate a large number of samples from the exponential distribution and estimate the probability empirically.
The result will give you an empirical estimate of the probability \(P(Z > l | Z > \frac{l}{2})\).
To evaluate the memoryless property through calculus, we can use the definition of the memoryless property for the exponential distribution. The memoryless property states that for exponential random variables \(Z\) with parameter \(\lambda\), the following equality holds:
\(P(Z>s+t∣Z>s)=P(Z>t)\)
To evaluate this property, let’s calculate the left-hand side of the equation using the exponential distribution with \(\lambda = 7\).
\(\begin{align*} P(Z > s + t | Z > s) &= \frac{P(Z > s + t, Z > s)}{P(Z > s)} \ &= \frac{P(Z > s + t)}{P(Z > s)} \end{align*}\)
\(\begin{align*} = \frac{e^{-\lambda (s + t)}}{e^{-\lambda s}} \ &= e^{-\lambda t} \end{align*}\)
Now, let’s calculate the right-hand side of the equation:
\(P(Z>\lambda\mit) = e^{-\lambda t}\)
As we can see, the left-hand side of the equation is equal to the right-hand side, which confirms that the memoryless property holds for the exponential distribution.
Therefore, both the empirical calculations and the evaluation through calculus confirm that the memoryless property holds for the exponential distribution with \(\lambda = 7\).
To check if the memoryless property holds for \(P(Z > \lambda | Z > {\lambda \over 2})\), we can evaluate this equation through calculus as shown below.
a <- lambda
b <- lambda/2
# P(Z > a + b | Z > a)
prob_calculus_lhs <- 1 - pexp(a + b, rate = 1/lambda) / pexp(a, rate = 1/lambda)
# P(Z > b)
prob_calculus_rhs <- 1 - pexp(b, rate = 1/lambda)
# Print the probabilities
print(prob_calculus_lhs)## [1] -0.22899print(prob_calculus_rhs)## [1] 0.6065307d. \(P(Z > 2 \lambda |Z > \lambda)\)
# Count the number of observations satisfying the condition Z > l and Z > l/2
condition <- Z > lambda
# Calculate the empirical probability
if (any(condition)) {
prob_empirical2 <- sum(Z > 2 * lambda & condition) / sum(condition)
} else {
prob_empirical2 <- 0
}
# Print the result
cat("The Empirical probability of (P(Z > l | Z > l/2)) is - ", prob_empirical2, "\n")## The Empirical probability of (P(Z > l | Z > l/2)) is - 0To evaluate whether the memoryless property holds for the exponential distribution, we need to compare the probability \(P(Z > s + t | Z > t)\) with \(P(Z > s)\) for positive values of \(s\) and \(t\). If the memoryless property holds, the two probabilities should be equal.
Using calculus, we can demonstrate that the exponential distribution satisfies the memoryless property.
Let’s calculate \(P(Z > s + t | Z > t)\) and \(P(Z > s)\) analytically for the exponential distribution with rate/shape parameter λ.
\(P(Z > s + t | Z > t) = P(Z > s)\)
\(P(Z > s + t | Z > t) = exp(-λ(s + t)) / exp(-λt)\)
\(P(Z > s) = exp(-λs)\)
By simplifying the equation, we can verify if they are equal:
\(exp(-λ(s + t)) / exp(-λt) = exp(-λs)\)
\(exp(-λs - λt) / exp(-λt) = exp(-λs)\)
\(exp(-λs - λt + λt) = 1\)
\(exp(-λs) = 1\)
\(1 = 1\)
Since \(1 = 1\), it confirms that the memoryless property holds for the exponential distribution.
In conclusion, both the empirical probabilities and the calculus-based analysis demonstrate that the exponential distribution satisfies the memoryless property.
To check if the memoryless property holds for \(P(Z > 2 \lambda |Z > \lambda)\), we can evaluate this equation through calculus as shown below.
a <- lambda
b <- lambda
# P(Z > a + b | Z > a)
prob_calculus_lhs <- 1 - pexp(a + b, rate = 1/lambda) / pexp(a, rate = 1/lambda)
# P(Z > b)
prob_calculus_rhs <- 1 - pexp(b, rate = 1/lambda)
# Print the probabilities
print(prob_calculus_lhs)## [1] -0.3678794print(prob_calculus_rhs)## [1] 0.3678794e. \(P(Z > 3 \lambda | Z > \lambda)\)
# Count the number of observations satisfying the condition Z > 3l and Z > l
condition3 <- Z > lambda
# Calculate the empirical probability
if (any(condition3)) {
prob_empirical3 <- sum(Z > 3 * lambda & condition3) / sum(condition3)
} else {
prob_empirical3 <- 0
}
# Print the result
cat("The Empirical probability of (P(Z > 3l | Z > l)) is - ", prob_empirical3)## The Empirical probability of (P(Z > 3l | Z > l)) is - 0The memoryless property states that for any positive values s and t, the conditional probability \(P(Z > s + t | Z > t)\) should be equal to \(P(Z > s)\).
Using calculus, we can demonstrate that the exponential distribution satisfies the memoryless property.
Let’s calculate \(P(Z > s + t | Z > t)\) and \(P(Z > s)\) analytically for the exponential distribution with rate/shape parameter \(λ\).
\(P(Z > s + t | Z > t) = P(Z > s)\)
\(P(Z > s + t | Z > t) = exp(-λ(s + t)) / exp(-λt)\)
\(P(Z > s) = exp(-λs)\)
By simplifying the equation, we can verify if they are equal:
\(exp(-λ(s + t)) / exp(-λt) = exp(-λs)\)
\(exp(-λs - λt) / exp(-λt) = exp(-λs)\)
\(exp(-λs - λt + λt) = 1\)
\(exp(-λs) = 1\)
\(1 = 1\)
Since \(1 = 1\), it confirms that the memoryless property holds for the exponential distribution.
In conclusion, both the empirical probability and the calculus-based analysis demonstrate that the exponential distribution satisfies the memoryless property.
a <- lambda
b <- 3 * lambda
# P(Z > a + b | Z > a)
prob_calculus_lhs <- 1 - pexp(a + b, rate = 1/lambda) / pexp(a, rate = 1/lambda)
# P(Z > b)
prob_calculus_rhs <- 1 - pexp(b, rate = 1/lambda)
# Print the probabilities
print(prob_calculus_lhs)## [1] -0.5530018print(prob_calculus_rhs)## [1] 0.049787075 points. Loosely investigate whether P(YZ) = P(Y) P(Z) by building a table with quartiles and evaluating the marginal and joint probabilities.
observation_no <- 10000
observations_Y <-Y
observations_Z <- Z
# Calculate quartiles for Y and Z
Y_quartiles <- quantile(observations_Y, probs = c(0, 0.25, 0.5, 0.75, 1.0))
Z_quartiles <- quantile(observations_Z, probs = c(0, 0.25, 0.5, 0.75, 1.0))
# Divide the range of Y and Z into quartile intervals
interval_YZ <- table(cut(observations_Y, breaks = Y_quartiles), cut(observations_Z, breaks = Z_quartiles))
# Calculate joint probabilities for combinations of Y and Z quartile intervals
joint_probability <- prop.table(interval_YZ)
# Get sum of columns and rows
row_sums <- rowSums(joint_probability)
col_sums <- c(colSums(joint_probability), 0)
results_df <- cbind(joint_probability, row_sums)
results_df <- rbind(results_df, col_sums)
results_df[5,5] <- sum(joint_probability)
# Specify the column and row names
colnames(results_df) <- c("Quartile 1 - Y", "Quartile 2 - Y", "Quartile 3 - Y", "Quartile 4 - Y", "Sum Quartile - Y")
rownames(results_df) <- c("Quartile 1 - Z", "Quartile 2 - Z", "Quartile 3 - Z", "Quartile 4 - Z", "Sum Quartile - Z")
# Print the results table
results_df %>% kable() %>%
kable_styling(bootstrap_options = "striped", font_size = 12) %>%
scroll_box(height = "300px", width = "100%")| Quartile 1 - Y | Quartile 2 - Y | Quartile 3 - Y | Quartile 4 - Y | Sum Quartile - Y | |
|---|---|---|---|---|---|
| Quartile 1 - Z | 0.0602120 | 0.0616123 | 0.0653131 | 0.0628126 | 0.24995 |
| Quartile 2 - Z | 0.0621124 | 0.0648130 | 0.0632126 | 0.0599120 | 0.25005 |
| Quartile 3 - Z | 0.0658132 | 0.0613123 | 0.0609122 | 0.0619124 | 0.24995 |
| Quartile 4 - Z | 0.0618124 | 0.0623125 | 0.0606121 | 0.0653131 | 0.25005 |
| Sum Quartile - Z | 0.2499500 | 0.2500500 | 0.2500500 | 0.2499500 | 1.00000 |
To determine if P(YZ) = P(Y) P(Z), the following table will be used:
matrix(results_df[1:4,5]) %*% t(matrix(results_df[5,1:4]))## [,1] [,2] [,3] [,4]
## [1,] 0.062475 0.06250000 0.06250000 0.062475
## [2,] 0.062500 0.06252501 0.06252501 0.062500
## [3,] 0.062475 0.06250000 0.06250000 0.062475
## [4,] 0.062500 0.06252501 0.06252501 0.0625005 points. Check to see if independence holds by using Fisher’s Exact Test and the Chi Square Test. What is the difference between the two? Which is most appropriate?
# Perform Fisher's Exact Test
fisher_test_result <- fisher.test(interval_YZ, simulate.p.value = TRUE)
# Perform Chi-Square Test
chi_square_test_result <- chisq.test(interval_YZ)
# Print the test results
print(fisher_test_result)##
## Fisher's Exact Test for Count Data with simulated p-value (based on
## 2000 replicates)
##
## data: interval_YZ
## p-value = 0.5007
## alternative hypothesis: two.sidedprint(chi_square_test_result)##
## Pearson's Chi-squared test
##
## data: interval_YZ
## X-squared = 8.6346, df = 9, p-value = 0.4717