BT về nhà
2023-06-05
R Markdown
This is an R Markdown document. Markdown is a simple formatting syntax for authoring HTML, PDF, and MS Word documents. For more details on using R Markdown see http://rmarkdown.rstudio.com.
When you click the Knit button a document will be generated that includes both content as well as the output of any embedded R code chunks within the document. You can embed an R code chunk like this:
Bài tập về nhà tuần 1
library(tidyverse)## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ dplyr 1.1.0 ✔ readr 2.1.4
## ✔ forcats 1.0.0 ✔ stringr 1.5.0
## ✔ ggplot2 3.4.1 ✔ tibble 3.1.8
## ✔ lubridate 1.9.2 ✔ tidyr 1.3.0
## ✔ purrr 1.0.1
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::lag() masks stats::lag()
## ℹ Use the ]8;;http://conflicted.r-lib.org/conflicted package]8;; to force all conflicts to become errorslibrary(ggplot2)Mô phỏng ngẫu nhiên các biến
Mô phỏng ngẫu nhiên phân phối đều
Số phần bánh căn bán được mỗi sáng trong vòng 1000 ngày
bc <- runif(n=1000,min=45,max=50)
bc## [1] 49.35904 47.68988 49.46592 45.75943 48.27130 46.20042 45.06456 47.09739
## [9] 46.12966 48.03481 48.04546 45.09329 49.00623 48.71521 47.31479 45.04941
## [17] 45.31521 49.77116 47.81735 48.20207 45.87135 45.24704 47.57225 48.23501
## [25] 49.54013 46.87923 46.48436 45.90804 46.47993 49.21548 49.78330 46.62792
## [33] 48.58044 45.35793 48.03790 48.02677 48.65361 45.89130 45.63362 49.17139
## [41] 46.55967 48.89395 47.33204 45.94495 45.18026 47.47817 46.86134 48.75369
## [49] 48.99197 46.89925 46.55377 48.14416 49.88022 49.40992 46.23794 48.57643
## [57] 49.06885 47.71731 45.30447 47.01114 47.95663 49.80565 48.04805 47.02341
## [65] 47.19349 48.11136 48.99289 47.89535 47.75243 45.31645 45.87514 49.90349
## [73] 49.61204 47.52340 49.48068 49.54230 46.28118 49.97655 49.93435 47.99659
## [81] 48.23957 45.57257 45.96932 48.38694 47.81776 49.00213 46.76598 45.81460
## [89] 45.49621 46.22370 45.42746 48.48034 45.15681 49.81102 47.25177 45.78871
## [97] 48.85882 48.44082 48.41336 48.98725 47.27513 47.65159 45.11623 45.49755
## [105] 48.91373 47.71158 45.29509 45.24746 49.48296 45.41946 46.53762 49.26687
## [113] 48.82500 48.01690 46.73647 49.87035 48.48266 48.49431 46.63639 45.59815
## [121] 45.34516 46.99394 46.35471 45.97024 47.09094 49.09688 48.40215 46.62302
## [129] 46.99762 49.35003 47.65705 48.46464 47.36242 48.82599 49.41054 49.88663
## [137] 48.51280 46.24452 45.23514 49.51992 48.75501 48.69442 47.18752 49.10159
## [145] 46.01979 48.61382 45.90048 47.35680 47.51671 47.26109 49.16438 46.52747
## [153] 47.04568 48.60956 49.19552 48.84392 47.77713 46.30321 45.58941 46.45262
## [161] 49.00988 47.95812 47.27561 46.74973 48.40623 48.55384 47.18103 45.33554
## [169] 45.68408 46.42754 46.53197 49.37418 48.33469 49.19759 48.18146 48.47212
## [177] 48.09235 49.35314 49.79923 49.35255 47.47284 48.05898 48.66737 47.34647
## [185] 45.15696 48.07293 45.47240 45.24000 48.97117 46.39704 49.80500 49.23324
## [193] 46.85614 48.43718 47.09859 48.70886 48.21830 49.19660 49.97271 45.29862
## [201] 47.47502 45.90388 45.71662 46.57502 48.44955 49.49266 49.01471 45.44152
## [209] 48.80671 48.71981 48.23285 46.89432 46.67622 48.86690 48.64926 47.11699
## [217] 46.97302 47.56492 48.51396 48.49579 49.82745 45.99508 47.83370 47.14507
## [225] 47.82362 46.98993 45.26598 49.73542 48.73381 47.78176 45.88880 46.36928
## [233] 48.95870 49.11757 47.60545 47.30368 45.19269 46.23508 49.82124 48.40138
## [241] 49.22713 46.66031 46.91579 48.69298 46.16194 46.43957 49.88055 47.02710
## [249] 46.09908 47.11532 49.43860 49.08207 47.67128 47.05087 47.21355 47.66813
## [257] 47.80058 49.16031 45.78384 47.37706 45.38890 46.92385 47.56152 48.93291
## [265] 45.60601 45.46116 45.71183 47.53363 49.89690 45.42960 49.18911 46.81827
## [273] 49.34922 45.05437 47.66254 47.11027 48.03364 45.13263 49.84527 49.92851
## [281] 46.30146 47.74152 46.48082 48.43092 48.99978 45.87792 48.02490 48.97196
## [289] 47.45838 49.18125 48.25404 47.46684 49.51620 45.87907 49.65780 45.04700
## [297] 47.20624 49.43829 49.71782 48.28276 47.66008 45.32649 46.08407 49.14325
## [305] 45.29725 48.08509 46.37591 46.91124 48.68543 49.71940 47.45446 45.22536
## [313] 49.91329 45.38153 48.07262 47.33907 46.48658 47.84421 49.50178 46.20231
## [321] 48.71347 47.23834 48.35317 49.76011 45.98567 46.53667 47.06164 45.38924
## [329] 48.52809 49.95373 49.68824 45.64454 48.40416 45.55530 48.28047 47.02914
## [337] 45.63835 49.71546 47.67632 48.62716 48.08255 49.82396 48.16646 49.09490
## [345] 48.10191 47.26892 49.73414 47.38444 47.10247 49.37792 45.61298 49.72719
## [353] 49.67449 46.86380 45.71290 45.09822 49.58992 45.04176 47.13984 45.53710
## [361] 49.25618 47.30900 48.42348 46.61863 49.54446 45.10157 49.33979 46.11008
## [369] 45.05174 45.93850 47.11292 46.27785 45.97475 45.19869 48.66913 47.70821
## [377] 46.55205 48.33929 49.77825 47.30277 48.33528 49.33979 45.32477 49.86668
## [385] 48.09628 49.67269 47.20618 46.67436 47.72042 46.85203 48.99735 46.74629
## [393] 45.34215 46.61989 49.56236 49.59368 46.05928 49.39945 48.22997 48.03402
## [401] 47.73670 45.97983 45.65894 45.81672 49.97912 48.11845 45.35049 46.00533
## [409] 49.91154 45.06893 47.12238 46.80256 46.43941 45.79037 46.05746 47.10980
## [417] 47.50558 49.14029 47.94128 48.15225 47.53381 48.26614 49.16459 48.11119
## [425] 46.11423 47.00786 46.46255 48.19170 48.50822 47.31193 47.49136 45.02201
## [433] 49.70570 47.00368 49.83267 46.62138 47.52783 47.56081 45.76486 46.32914
## [441] 49.32281 45.09429 47.84219 49.78797 49.33005 49.09243 48.25903 46.48969
## [449] 45.90454 48.40822 45.11628 46.34070 45.47655 45.27971 49.78647 49.88963
## [457] 48.44462 47.74917 48.44429 49.67979 48.83405 45.76500 47.71506 49.32650
## [465] 45.29892 49.91028 48.12636 49.38219 49.85964 45.97263 48.74916 49.49930
## [473] 46.76109 49.87118 48.89205 47.52365 46.45017 48.80876 47.02148 45.31925
## [481] 47.21728 49.97445 45.86859 45.09070 46.36312 47.99366 45.13877 49.97186
## [489] 48.48195 46.58342 48.18892 49.85564 45.75871 47.44102 46.46301 48.84486
## [497] 47.22059 46.80219 47.02009 47.42935 47.13765 48.05060 47.61001 46.53514
## [505] 48.36183 47.97164 48.11612 49.55353 49.87436 47.03266 48.33351 46.12602
## [513] 45.55601 45.35397 48.27723 48.52245 47.34665 49.84670 46.78948 49.19088
## [521] 47.66477 45.62420 48.56090 49.18511 45.42670 49.36341 45.18548 47.65475
## [529] 46.92290 49.96278 46.95269 49.58299 48.74850 47.41204 48.55707 46.40751
## [537] 47.21536 49.02430 47.61057 46.19641 47.84815 48.85217 47.31879 48.60752
## [545] 49.71762 48.35063 49.29457 48.95189 49.87097 48.19872 46.41276 47.11533
## [553] 47.95022 48.48432 49.03877 46.86939 47.45847 49.16788 49.42439 46.81256
## [561] 49.08171 46.15848 47.89819 45.89714 46.06961 48.92808 48.19458 49.32338
## [569] 45.26188 45.62333 46.50414 46.05871 46.37004 46.46187 49.09133 45.23347
## [577] 46.02927 49.07548 45.02040 48.49786 46.53130 45.12174 46.70610 45.57881
## [585] 46.06022 49.99120 47.74230 47.32045 48.22298 46.01258 45.82575 47.11571
## [593] 45.45848 47.42710 46.12989 48.43963 46.07129 48.03755 49.27073 48.81667
## [601] 45.76926 47.57448 48.79833 46.00858 49.21540 49.12187 47.89698 48.78144
## [609] 46.40667 47.93335 46.46867 47.76364 49.51085 45.74518 49.66559 48.32092
## [617] 46.43919 47.64094 46.77097 46.06008 45.19243 47.36432 49.18444 47.14169
## [625] 46.95177 48.97759 46.89822 47.83929 45.63445 45.97190 49.76893 47.48281
## [633] 45.17684 46.02129 49.90851 47.26322 47.68412 45.32283 45.73155 49.53091
## [641] 48.98855 47.70797 46.73205 46.02940 46.64831 45.77927 48.89535 47.97767
## [649] 49.03629 45.10037 46.30681 45.93937 47.11667 45.31955 49.55562 46.65785
## [657] 45.85628 45.36619 46.49832 46.30715 45.30806 49.43814 46.69196 45.36921
## [665] 46.15489 46.49303 47.33934 46.44296 45.50349 47.70310 47.47880 47.94919
## [673] 45.78663 46.42925 48.99113 46.78484 49.96886 49.86639 49.40777 49.65174
## [681] 49.60864 48.83103 49.95877 48.67609 46.49551 49.54645 46.16931 48.20773
## [689] 47.30136 47.98060 48.40081 45.85483 45.81557 48.21904 46.98335 49.09354
## [697] 49.50708 45.27775 47.47853 48.24937 47.84044 45.42733 46.96020 48.77090
## [705] 46.53666 46.55809 47.91249 48.54329 47.72982 46.78736 47.41895 47.05952
## [713] 46.34275 49.43519 49.51259 48.38773 47.88871 48.60203 45.74903 49.01032
## [721] 49.93044 49.67539 49.45466 49.28386 49.36248 46.70701 49.66816 46.56617
## [729] 49.59115 46.14345 45.64064 47.80587 46.45585 48.72683 46.79726 49.06992
## [737] 45.07022 46.61852 46.83344 47.27308 46.54608 48.81281 49.03974 46.74500
## [745] 47.76695 48.84921 48.29862 47.66833 45.85387 48.09290 49.69088 46.36647
## [753] 45.80836 48.95586 48.92709 45.05051 45.96258 45.35436 45.31094 45.68867
## [761] 47.94138 48.00969 47.47579 47.35689 49.45959 49.27470 46.08494 45.37023
## [769] 48.41819 47.44695 49.93920 48.54828 49.37572 47.36034 45.66200 47.64778
## [777] 49.67641 48.88531 48.93541 45.44660 48.67678 47.12162 46.28405 48.57944
## [785] 49.47175 45.96392 47.42982 46.08712 46.09208 48.56168 48.34028 47.12929
## [793] 45.78282 49.32427 48.73752 45.83048 48.89520 45.26155 45.30065 45.02958
## [801] 48.02440 47.78502 47.87676 49.78959 47.30530 48.82706 48.55921 49.13248
## [809] 46.96398 47.14659 45.02204 46.42148 47.77261 45.61025 45.66975 46.48924
## [817] 45.28364 47.61827 48.40546 49.88754 49.07025 48.51662 47.10551 45.34099
## [825] 46.15459 47.51771 49.91542 48.78410 46.93783 49.70006 49.11148 49.99253
## [833] 47.29091 46.82675 47.46782 47.37757 46.80944 46.43843 49.16539 45.95445
## [841] 46.87929 46.10771 46.72806 48.55751 45.79233 47.48435 49.35270 48.75025
## [849] 47.70344 46.97740 47.86938 48.04044 46.56102 45.17043 48.33058 48.99577
## [857] 48.17736 49.51831 49.53550 45.93706 45.87739 49.71031 47.40648 48.18700
## [865] 46.46880 48.87984 45.80924 49.68407 47.67676 45.40346 49.57527 45.56826
## [873] 46.92975 46.73551 45.78063 45.63786 48.19558 46.49249 45.01106 49.83149
## [881] 46.12858 47.38736 48.88747 46.68652 47.65043 49.27191 45.11909 47.94307
## [889] 45.83578 47.01940 48.20368 45.35997 46.70427 45.80772 49.51883 46.35095
## [897] 49.89015 45.26203 47.48432 48.31046 45.98939 45.94759 49.06238 48.78790
## [905] 46.29708 48.16508 45.77397 46.61634 49.38590 48.89360 48.64910 48.70536
## [913] 46.12901 47.81934 45.37261 49.28910 46.05394 46.77721 45.69507 49.84209
## [921] 45.43810 45.07993 45.59219 45.04749 48.99507 46.62242 47.45325 46.28023
## [929] 46.80461 49.95842 46.80352 48.20205 47.23694 46.68749 46.18472 46.08786
## [937] 45.97832 47.34774 47.62503 46.38007 47.87693 47.72046 49.36430 46.61830
## [945] 48.94100 46.58964 47.32956 48.78127 48.28831 47.16845 48.08332 45.29285
## [953] 46.07245 48.69919 47.27664 46.01148 47.64382 48.14513 49.72719 48.17222
## [961] 48.51181 46.97701 48.76822 46.79211 46.80711 48.49624 49.60919 46.70664
## [969] 47.59399 48.30178 45.08629 45.37773 45.33197 46.81404 46.05379 49.32146
## [977] 48.61030 49.96727 45.58068 47.47866 45.35177 46.28967 45.93335 45.16319
## [985] 48.78964 47.64393 46.46349 48.67057 49.44010 48.90676 46.57346 48.02540
## [993] 45.85592 49.39775 46.04476 48.72909 48.01140 45.45138 48.87795 47.11545round(runif(n=1000,min=45,max=50),0)## [1] 47 50 45 47 50 50 45 48 48 47 49 46 46 49 50 48 48 46 46 45 45 48 49 48
## [25] 48 45 50 46 46 49 49 47 48 46 45 50 46 45 50 49 49 45 47 45 48 46 48 48
## [49] 46 45 48 47 46 45 47 48 49 48 49 47 50 46 45 49 46 50 49 48 48 48 48 46
## [73] 47 46 50 47 48 49 47 46 48 45 46 48 48 45 47 49 49 47 49 49 46 46 50 48
## [97] 47 46 48 48 47 48 45 47 45 48 46 47 47 46 46 45 48 48 46 47 48 45 47 46
## [121] 46 47 47 45 48 47 49 47 48 47 47 50 47 46 46 50 49 50 45 48 48 49 47 50
## [145] 48 46 48 50 50 49 49 48 47 47 46 46 47 48 48 46 46 49 48 48 46 48 46 45
## [169] 48 48 49 46 47 49 45 50 47 46 46 46 45 49 47 49 45 45 46 47 50 46 48 47
## [193] 49 47 49 47 50 46 50 47 47 45 46 48 49 47 45 48 49 47 45 48 47 47 47 46
## [217] 45 46 48 49 46 48 50 47 49 47 49 47 45 45 47 45 46 50 46 46 47 47 46 47
## [241] 50 49 46 46 49 45 50 48 47 48 49 50 48 50 46 48 48 49 45 47 47 47 45 49
## [265] 49 49 46 47 47 46 50 49 49 48 48 46 48 47 47 48 49 49 50 46 45 48 46 46
## [289] 48 47 46 47 48 45 46 49 47 46 46 45 50 48 47 48 48 49 46 46 49 45 47 48
## [313] 46 46 46 49 45 46 47 50 45 49 49 47 50 45 49 49 48 49 49 46 49 48 45 50
## [337] 45 45 49 49 47 48 45 46 47 46 46 46 45 45 47 45 45 49 48 49 48 47 46 47
## [361] 48 49 46 48 46 45 50 49 48 49 48 47 45 49 48 46 48 48 49 46 50 48 49 45
## [385] 47 47 50 48 49 49 46 47 47 47 45 48 46 49 46 46 49 48 49 48 49 46 50 45
## [409] 47 48 46 46 47 48 45 48 46 47 47 49 49 47 45 46 47 49 47 49 49 50 48 46
## [433] 48 48 46 46 47 48 46 48 47 47 45 48 45 48 46 48 45 47 50 50 48 47 47 46
## [457] 47 48 46 45 49 47 48 47 48 50 49 48 49 47 50 45 49 49 49 50 46 45 45 45
## [481] 48 49 50 47 49 48 47 49 47 49 47 49 49 46 46 47 47 46 49 48 46 49 48 45
## [505] 46 46 48 48 50 49 49 50 49 48 45 50 45 48 46 50 49 48 48 46 46 50 49 47
## [529] 46 49 49 50 46 46 47 50 47 48 45 47 46 48 47 47 48 48 49 49 48 48 49 49
## [553] 46 47 46 45 49 48 48 48 49 49 49 46 46 47 47 49 46 47 47 47 49 49 47 49
## [577] 50 49 48 50 49 47 48 50 48 50 46 45 46 46 47 46 48 47 50 46 46 46 49 50
## [601] 46 47 48 46 50 46 50 48 50 47 48 49 45 48 46 46 46 45 47 46 48 50 48 47
## [625] 48 46 48 47 49 47 49 49 46 46 46 47 48 47 46 46 46 46 47 50 50 47 50 47
## [649] 47 48 46 49 47 47 49 46 50 45 49 48 47 45 48 47 46 48 49 48 47 49 49 49
## [673] 46 50 46 45 48 46 47 46 47 49 50 49 46 48 48 47 50 46 48 46 50 49 47 47
## [697] 49 48 49 46 50 49 47 47 49 48 50 46 49 46 49 49 47 47 49 47 49 47 48 46
## [721] 47 46 46 45 47 48 49 47 45 48 47 50 48 46 48 46 48 47 49 49 46 49 45 48
## [745] 45 50 46 45 49 46 49 48 49 47 49 45 48 45 49 49 49 46 49 47 50 47 46 47
## [769] 46 47 46 50 48 45 49 49 49 47 50 50 48 49 46 48 50 46 49 49 47 49 47 48
## [793] 47 50 48 47 49 47 49 46 45 48 47 49 48 45 47 48 47 46 49 45 48 46 47 47
## [817] 48 47 49 45 47 50 48 48 46 46 46 46 48 46 49 48 49 47 50 46 50 46 50 46
## [841] 45 48 47 50 46 49 49 47 45 49 48 48 48 47 49 46 46 48 50 49 47 48 48 50
## [865] 50 46 50 47 48 46 47 48 48 49 50 46 49 46 45 45 49 45 47 47 47 48 50 47
## [889] 47 49 49 46 48 47 45 47 49 49 48 46 48 49 49 49 45 46 50 48 45 45 46 49
## [913] 46 46 47 45 48 48 47 46 47 49 46 47 47 46 48 46 49 50 48 48 50 45 49 48
## [937] 48 47 50 49 49 47 47 47 48 48 46 48 50 48 46 46 47 47 50 48 49 47 49 45
## [961] 48 47 49 47 46 48 48 48 50 47 49 49 47 45 46 45 49 49 46 48 48 47 47 45
## [985] 49 49 49 47 48 47 49 49 48 46 50 48 45 49 46 48hist(bc)
Qua đồ thị ta thấy bánh căn quán bán được mỗi sáng trong vòng 1000 ngày có phân phối đều
Mô phỏng ngẫu nhiên phân phối Poisson
Số hủ sữa chua phô mai bán được mỗi sáng trong vòng 1000 ngày với lambda là 10
scpm <- rpois (n=1000,lambda=10)
scpm## [1] 13 14 9 6 7 5 9 9 11 7 11 5 12 8 11 4 9 14 9 7 10 11 17 12
## [25] 10 7 6 12 9 4 7 11 7 9 6 12 8 8 9 12 14 11 7 6 10 8 5 7
## [49] 5 7 5 10 3 7 7 10 13 9 12 10 15 10 13 8 15 8 10 13 8 5 13 10
## [73] 7 6 10 5 9 12 10 13 8 7 12 9 8 8 13 11 9 17 9 8 7 7 9 11
## [97] 5 11 10 11 6 8 9 7 13 15 10 12 13 13 10 14 17 6 10 12 10 12 5 11
## [121] 15 12 10 10 6 4 9 9 8 19 10 10 15 10 7 8 8 10 5 4 9 10 8 8
## [145] 10 9 9 10 6 8 12 7 8 8 13 20 8 11 9 5 11 12 5 7 10 7 17 17
## [169] 11 17 5 11 12 7 13 5 10 6 14 10 10 7 8 16 9 8 15 15 10 12 8 9
## [193] 7 15 12 6 9 15 9 8 10 5 7 8 18 5 7 15 7 8 14 5 10 11 7 13
## [217] 11 6 10 13 4 8 7 7 14 11 8 9 8 11 10 14 12 11 10 7 10 10 11 14
## [241] 7 6 9 10 7 13 11 12 13 7 10 5 10 13 11 11 11 12 9 18 17 3 11 16
## [265] 9 3 7 16 10 11 6 5 5 13 12 10 8 3 7 7 18 11 8 8 11 7 8 8
## [289] 7 8 14 15 13 13 15 7 10 16 14 7 8 12 10 10 15 11 11 9 6 10 13 7
## [313] 6 9 10 8 11 4 9 14 15 9 13 9 11 11 7 8 12 11 9 11 16 9 6 8
## [337] 6 7 10 14 12 9 13 14 13 12 17 7 11 9 13 13 10 7 13 21 9 9 14 13
## [361] 12 15 9 6 8 13 15 13 7 12 6 10 5 9 19 7 8 9 9 11 13 9 10 15
## [385] 14 13 14 9 13 8 11 6 7 15 6 9 6 9 9 12 10 10 7 6 9 4 8 8
## [409] 9 8 12 9 10 10 13 8 8 9 8 9 10 10 7 15 10 10 9 17 4 16 8 5
## [433] 10 6 9 15 10 7 9 9 4 9 12 12 8 12 9 8 11 8 7 9 10 8 5 13
## [457] 12 14 10 14 4 7 12 6 8 14 8 6 7 12 13 9 10 13 10 14 12 8 12 8
## [481] 7 11 11 9 7 9 15 13 6 13 15 14 11 7 14 8 8 15 7 10 6 5 10 6
## [505] 10 2 8 15 9 12 13 9 10 13 9 8 8 14 13 12 10 8 13 11 10 7 15 8
## [529] 10 15 14 13 14 7 11 18 7 11 12 9 16 10 10 14 12 11 9 12 13 21 11 8
## [553] 17 4 9 8 10 6 12 11 7 11 12 6 6 6 12 12 8 11 4 12 13 15 8 6
## [577] 12 9 6 11 9 12 14 9 7 10 9 9 13 11 10 9 18 4 8 12 10 6 12 10
## [601] 11 7 10 17 14 3 11 13 9 7 8 15 12 13 6 12 10 11 10 11 13 7 13 12
## [625] 11 13 8 12 7 10 14 16 10 6 12 8 14 6 9 6 15 6 10 8 11 8 12 13
## [649] 13 10 9 12 11 8 13 9 12 15 8 15 8 5 12 17 16 9 9 17 15 9 9 13
## [673] 5 8 5 8 9 7 11 7 4 11 10 15 8 10 3 12 10 12 10 7 14 9 16 14
## [697] 9 8 13 10 9 6 9 7 17 12 8 7 10 6 9 8 11 9 10 6 14 10 18 9
## [721] 7 6 13 6 11 7 13 6 5 7 9 8 7 7 8 14 12 12 8 9 10 13 11 6
## [745] 12 8 7 7 12 13 12 10 7 12 8 8 10 8 10 19 7 11 4 10 8 13 12 10
## [769] 9 13 10 13 8 7 5 11 13 15 6 10 8 8 12 6 9 7 13 10 14 15 7 9
## [793] 5 11 5 12 8 16 9 13 5 10 7 10 4 9 6 10 6 15 11 11 5 13 8 5
## [817] 12 16 13 14 14 6 8 9 10 9 10 11 6 8 8 13 8 8 15 15 9 10 7 11
## [841] 8 11 11 16 8 18 8 17 3 8 11 9 12 9 12 12 12 9 10 9 5 5 5 6
## [865] 10 9 7 8 10 5 13 6 7 13 6 9 7 10 12 11 6 10 12 11 7 7 8 14
## [889] 7 15 5 7 8 5 10 12 18 8 12 9 14 11 12 6 4 10 14 15 16 18 10 10
## [913] 8 6 12 12 4 8 8 10 13 14 9 7 11 14 6 8 7 13 8 7 6 9 18 8
## [937] 11 12 7 10 10 13 11 8 11 15 13 11 9 13 11 12 8 10 10 10 12 9 12 8
## [961] 14 15 6 8 15 7 3 7 8 8 13 14 7 6 11 6 12 5 5 12 13 14 7 8
## [985] 13 11 9 9 10 11 9 8 11 10 6 9 9 12 12 11scpm <- table(scpm)
scpm <- as.data.frame(scpm)
ggplot(scpm,aes(scpm,Freq)) + geom_col(fill='red') + geom_point()+ geom_line(aes(as.integer(scpm),Freq), color='green')
Qua đồ thị ta thấy số hủ sữa chua phô mai mà quán bán được mỗi sáng trong vòng 1000 ngày có phân phối đều với lambda là 10
Mô phỏng ngẫu nhiên phân phối chuẩn
Số ly sữa đậu nành bán được mỗi sáng trong vòng 1000 ngày, có trung bình =10 và phương sai = 5
sdn <- rnorm (n=1000, mean=10,sd=5)
sdn## [1] 10.696842744 14.562704365 21.445638773 12.674527122 8.260019336
## [6] 11.907187736 8.697360121 6.434775411 12.646846941 2.822068577
## [11] 20.682132308 12.445174908 5.288843321 -0.004733705 6.909697756
## [16] 11.329747599 10.393541965 10.793090689 7.315712538 8.877362972
## [21] 2.993757488 8.817563140 7.156276236 6.508874702 6.894251825
## [26] 12.261967282 7.363493782 1.856023483 8.588310938 8.223430630
## [31] 8.896789766 11.651641973 13.103436177 6.780521889 14.725353048
## [36] 15.353435231 2.659953901 19.479621915 11.910785580 20.915581475
## [41] 8.327343770 15.436747449 -5.475896919 11.369935547 5.836326511
## [46] 17.760511490 11.190073792 6.822879352 11.018811771 14.703169846
## [51] 19.377567350 13.779063170 3.126729587 2.732114758 20.778426435
## [56] 4.988298674 13.753187718 8.836823958 9.337235925 11.053725846
## [61] 11.214909199 5.523023655 8.914316258 4.003955312 15.911304301
## [66] 15.207941155 9.350652780 13.064166676 10.128693466 20.294680040
## [71] 20.601786390 11.211038079 11.958217372 7.172360662 9.045204110
## [76] 13.292344334 9.938617818 3.577848116 5.986281316 14.660594205
## [81] 5.716039685 12.370298848 9.781036238 14.564464499 12.122079415
## [86] 15.509915137 13.094193729 11.700140139 -2.000327461 9.218792335
## [91] 16.932337050 10.120688880 3.004816573 3.737906714 12.807863884
## [96] 2.527091409 14.179678071 10.183306847 10.831352720 1.371598464
## [101] 10.849608666 -0.131593397 9.884971066 16.079481106 12.737696789
## [106] 23.032641391 9.103963344 18.149693034 6.563035617 13.426330649
## [111] 9.784680872 12.149415018 10.630662421 7.592832730 11.760109048
## [116] 12.018541941 6.050305676 12.524950420 11.468485660 14.996325585
## [121] 24.451816481 23.037546305 18.209409320 7.925110023 17.238863873
## [126] 9.394123140 9.198665749 7.439776068 13.899640522 11.908940352
## [131] 3.784725041 9.995214447 8.647392654 10.106561684 11.734760176
## [136] 9.774245947 3.285237692 10.905357609 2.277124235 16.899865267
## [141] 8.044087594 3.384837058 12.969387876 7.364361522 12.176288898
## [146] 0.933210660 17.081245277 8.630738171 13.835999672 7.214981374
## [151] 9.782205193 0.115935970 2.829732814 15.470089731 10.749067426
## [156] 13.640314671 14.007730016 11.026750427 2.430348191 8.673145630
## [161] 12.584096435 5.168408140 11.550000996 9.553106640 8.469780960
## [166] 6.328388161 1.983650497 5.419918159 5.074926915 5.838344360
## [171] 15.630917447 2.878240903 12.676869955 5.187245734 10.375112107
## [176] 14.690247887 6.179039288 2.149038442 9.049561259 9.044608176
## [181] -0.292196754 7.078857756 12.137877037 10.008044926 11.541364249
## [186] 15.286406725 8.316390944 0.836379777 3.947150660 23.256179747
## [191] 9.198747324 14.718868815 10.226211593 11.146900859 9.954008989
## [196] 8.802792014 14.204403421 16.481102203 15.585563761 1.851481431
## [201] 9.269915333 3.170210137 3.463045362 18.273788178 13.870964552
## [206] 13.822412906 13.890505969 5.951287817 15.412357805 9.622566989
## [211] 8.344056154 20.493915583 5.910125625 17.548501033 4.668777256
## [216] 15.522342415 10.273336543 6.849190710 9.931157031 3.589688804
## [221] 12.375280499 12.496881105 11.081304304 12.916617110 18.550474874
## [226] 14.357348897 5.690205849 14.593012349 11.945741315 11.006142983
## [231] 15.832341005 6.099733326 11.084727068 18.010257867 14.057778852
## [236] -3.185156204 7.368485057 10.548367069 14.727304861 11.054238760
## [241] 1.067220558 15.003323681 20.914893851 10.418587076 9.659210468
## [246] 2.193678769 9.797280437 7.229540427 9.166615969 7.736075310
## [251] 18.532616201 19.888683853 9.301777040 2.738927282 16.451583400
## [256] 5.646143266 7.863639743 4.958354996 13.760443951 8.275449994
## [261] 10.263472434 17.132191083 18.368445045 3.564310826 13.023356884
## [266] 11.583500522 10.945865433 6.489917868 8.229339715 11.084541705
## [271] 1.053295614 6.801147612 20.205679820 3.679834219 17.361139038
## [276] 7.417716786 9.650452414 5.314171443 19.534422269 10.888080383
## [281] 7.201218814 5.087631816 9.144936552 13.253428319 8.490198627
## [286] 14.710296454 2.153323096 15.216930405 10.672932590 3.729336891
## [291] -0.064099523 -0.582269329 10.479623148 4.019918428 8.818967104
## [296] 4.335596566 3.587084362 16.698000995 5.159714779 4.631744862
## [301] 20.397974853 5.540918797 17.391008578 15.049436627 8.766037553
## [306] 20.730340244 5.300376903 21.818951845 5.153547418 9.314321424
## [311] 7.654549895 15.502518026 8.971283948 1.560546936 8.075209952
## [316] 4.753859600 9.843237252 4.302892289 15.446985501 9.893884327
## [321] 5.124592800 11.761330271 13.636639270 6.811552793 8.892986905
## [326] 12.869701235 6.832546459 15.073194049 9.169791177 7.345696040
## [331] -1.266218683 7.229400002 8.758499472 14.493827760 7.379736973
## [336] 9.893629672 11.846446313 14.396259032 13.633667609 9.167661010
## [341] 5.566990839 13.017419674 3.366643050 3.032648731 9.745006860
## [346] 6.420292645 19.321074769 10.915574677 13.910237629 13.933560887
## [351] 9.522097056 7.538854140 11.851550630 20.115118540 21.792749320
## [356] 13.669437473 -1.233281655 9.582524412 8.672311142 3.603159547
## [361] 18.619246192 7.831772284 6.219610286 7.348482011 15.425116907
## [366] 2.920555327 16.586467768 7.216250369 2.095322668 14.575117128
## [371] 11.247461422 3.880199128 8.773227903 12.534729492 -2.233173751
## [376] 14.173987187 10.167408939 13.474133610 15.766435949 6.963994942
## [381] 6.143196262 10.630703385 16.797012550 6.378595638 7.018867142
## [386] 8.916404904 6.198441201 10.667884934 5.066857347 6.987530911
## [391] 2.507736144 8.674899112 12.070363676 17.374614649 8.893401724
## [396] 8.367387178 11.586999570 12.671983667 13.903771228 9.818012740
## [401] 4.868724302 8.695622587 8.887287860 13.049622940 20.134636345
## [406] 6.019433197 8.536535787 7.900543408 13.487472856 12.337712312
## [411] 11.634287727 5.631445560 15.409343591 10.948396969 12.928375711
## [416] 16.586248513 4.291773562 9.150105880 11.631273035 5.992998043
## [421] 9.909046859 16.701955748 11.629237496 14.293168077 6.448813245
## [426] 7.042762246 5.400975147 10.926882889 11.815451120 23.477400141
## [431] 17.745874141 10.100658614 8.226834497 12.089311500 4.145553537
## [436] 9.069830886 8.189273411 11.702309816 10.537544760 14.987860348
## [441] 10.295986558 8.244644668 13.001264203 19.473316462 9.782306449
## [446] 11.158455559 18.568712442 14.944056168 9.415989083 6.766891121
## [451] 19.566221493 9.362296382 16.288989082 15.503856769 16.481581354
## [456] 14.301026227 -1.370479320 4.169256002 8.559979983 13.379937619
## [461] 9.845921941 10.688329036 11.285495608 10.358941247 10.624316878
## [466] 13.653753855 9.322005733 3.530789931 15.967509303 12.768558345
## [471] 19.642627377 3.623383709 3.699777373 4.742081611 4.337852011
## [476] 13.053254429 5.203598937 12.642486011 12.780207287 12.799619537
## [481] 7.203970563 5.403286639 10.021700601 5.497475277 5.531489175
## [486] 4.371837166 5.967084354 2.431280649 6.802532560 16.810657655
## [491] 14.115837080 13.427787876 4.701979379 7.204934641 14.396550021
## [496] 11.308043864 8.331823471 16.228696693 16.587915044 5.816720501
## [501] 9.672899645 16.109641749 8.167890284 0.851643069 5.563017167
## [506] 9.523554397 14.461424886 10.340388867 5.171230200 7.002630045
## [511] 14.878471514 2.386896175 12.789820620 14.613542775 9.266750039
## [516] 14.439888986 16.011996455 16.609556602 12.918114475 8.520965118
## [521] 8.532550832 11.863994005 12.817506541 15.937642667 20.174401203
## [526] 11.185596288 9.580117333 12.219658646 7.501043036 13.475322155
## [531] 12.862805152 13.358813302 16.531685869 14.558480713 3.026765430
## [536] 6.618519470 1.977288216 11.289197634 11.212075557 12.965387173
## [541] 2.231752196 13.951859235 -0.503297770 15.782121570 8.298042774
## [546] 13.948559465 5.556210939 -1.998604769 9.851836886 -0.031983840
## [551] 5.297152119 12.514253744 4.405503108 9.750095258 10.148390881
## [556] 5.500076933 6.165648569 5.395989055 7.359507478 7.362240546
## [561] 13.026641641 9.271241989 5.268264166 11.401687228 13.784668425
## [566] 21.340651224 2.714455162 14.247385428 15.069532069 14.503225812
## [571] 10.604718166 14.286102801 3.805932850 4.042665345 13.683564874
## [576] 8.007883012 10.640059048 6.989115034 13.806469510 15.120696818
## [581] 11.882762607 16.527027431 11.770856273 5.687233213 7.440257787
## [586] 3.284881781 14.125524009 0.968532708 7.922256489 10.105609641
## [591] 13.622727379 9.279707618 8.710848730 8.556504976 12.976929788
## [596] 8.149986960 18.202773438 7.172868267 6.426586986 13.534195476
## [601] 11.677138099 17.233166033 1.138534534 12.383186325 17.164961955
## [606] 5.431153342 12.110431793 8.421200645 6.347363084 18.742409877
## [611] 13.585453981 12.626425208 4.359938906 17.358402311 3.649965105
## [616] 0.049442005 8.958829501 7.581729818 12.660425030 6.378646057
## [621] 3.827751104 15.725082456 14.050161420 13.222492785 11.668806116
## [626] 11.699925524 5.611512481 14.776361667 21.198823355 4.567326858
## [631] 9.577423742 5.232527557 8.956076979 6.859766828 12.803300719
## [636] 8.676567203 10.337202436 8.913846003 5.331675443 8.766041134
## [641] 9.827717208 15.573818904 8.633034030 9.971611839 7.847427326
## [646] 8.233360732 26.792026139 7.326911991 4.564634812 7.779040280
## [651] 3.303719161 16.113992300 14.496796341 8.776525494 3.278969187
## [656] 11.320254447 16.391541833 10.840601868 12.408275340 9.171697488
## [661] 10.218710839 12.460533881 3.980416937 3.828916358 11.077700965
## [666] 6.593447496 16.402130191 6.410924471 14.749984698 18.613749420
## [671] 7.567237142 13.265778784 5.103538561 17.431088630 4.693560986
## [676] 12.355685660 8.607792380 12.086905243 15.184491836 18.279212187
## [681] 4.344677610 9.920512001 8.308581828 7.354457384 14.080743871
## [686] 18.814229017 17.139613679 13.626834290 4.341980167 10.151602911
## [691] 10.276280498 13.617137531 12.690748721 9.136556933 3.244450023
## [696] 18.306935538 8.747586619 19.825670556 -2.150373493 14.127852060
## [701] 14.316862234 13.390259928 8.957165492 11.819834426 9.363662829
## [706] 8.467226310 11.650467332 16.996868636 5.805156551 16.764638425
## [711] 19.329475983 9.286206908 9.888892842 11.041806041 7.493501832
## [716] 6.619790221 6.834783647 9.853733086 7.436674395 2.748103494
## [721] 9.741437219 2.562535145 -0.238141952 10.091389052 9.136282468
## [726] 15.606833196 15.919453869 4.726797434 17.859477640 12.258464763
## [731] 10.763067789 7.840994963 1.558166564 9.661632998 18.875640587
## [736] 11.183159955 7.876749283 12.916497158 13.010676625 14.025534277
## [741] 7.509604438 11.428352623 7.071409682 14.243821365 16.548411840
## [746] 7.856938809 15.219547487 17.876459622 8.300333648 2.169177581
## [751] 11.705063089 9.318405344 18.436168993 11.764117381 4.932307468
## [756] 8.092159557 17.038652563 5.998184532 7.387689150 8.437793736
## [761] 13.372048203 10.787252746 8.162504300 17.197418216 14.042668852
## [766] 12.263789279 6.813085863 11.348743143 9.775343318 9.679744522
## [771] 2.080011929 7.778200607 4.127559699 3.821368048 6.064622345
## [776] 10.309123245 10.877741626 9.489651339 8.962935901 4.614443436
## [781] 12.763055311 8.974493851 15.423833996 12.778285924 2.501045617
## [786] 8.989001255 23.091776996 7.921584937 9.409808968 1.955355646
## [791] 3.432638803 8.710525573 8.882018767 12.942438097 15.803234765
## [796] 18.113667524 10.237902940 13.173723256 2.592915060 13.832189441
## [801] 12.461774028 15.576405781 20.918405154 1.929696136 14.678170349
## [806] 8.471305373 10.465350249 7.291012205 16.390755943 14.842653570
## [811] 14.866451998 19.866419036 10.086165452 3.941373680 2.845329824
## [816] 17.149212992 12.591346320 15.016941098 8.843581420 11.491067931
## [821] 2.641898309 6.329867250 10.096225740 8.038945902 1.533791434
## [826] 4.071783459 21.101394678 18.517943263 12.561752542 13.709212733
## [831] 7.696488638 17.317338456 18.697526245 7.835250784 17.105796842
## [836] 10.160407149 12.761861003 10.065775749 15.902393818 1.449166187
## [841] 22.690645396 11.091632062 -0.234810813 12.347463777 15.118674845
## [846] 15.804409631 10.221649907 14.178514341 16.566374070 9.500120530
## [851] 8.180515470 7.289131886 4.811485156 -2.009337294 8.558275565
## [856] 4.687025165 6.383786113 19.373459324 10.675126417 2.260420256
## [861] 9.209832907 13.396818571 7.484561104 4.890540498 15.406269343
## [866] 19.209129142 6.494368346 11.752249830 2.335942196 9.372226511
## [871] 9.203085318 16.204599495 7.574787714 11.470648156 8.862631366
## [876] 17.489133919 11.568948611 12.223317745 12.247043015 13.221851315
## [881] 7.752990000 6.997412458 18.131430253 15.747625005 14.167944175
## [886] 9.298769935 9.513174177 7.559271261 2.578981739 14.525644113
## [891] 11.764340360 3.745402303 11.267628476 3.499062706 9.237655939
## [896] 8.321822019 10.368844229 2.200833032 10.448649966 12.169445567
## [901] 7.070843812 5.308068665 11.447116803 14.091725078 14.210414973
## [906] 7.816757261 7.365355734 11.014381625 4.282115690 5.821910390
## [911] 13.401880774 14.124582387 2.452699879 6.202847828 5.065439373
## [916] 11.798649132 13.079211950 12.786914874 5.198778963 12.633587028
## [921] 12.166893602 4.870755503 14.828782388 3.429039506 6.998474701
## [926] 9.178543887 2.608891717 -0.778000256 15.510949770 8.923225406
## [931] 8.320712661 7.517812545 24.878976499 5.625758537 14.044279819
## [936] 5.720907649 11.553368374 4.270045034 8.035041088 3.638690403
## [941] 9.157734831 7.625153302 16.356950802 3.916864444 19.872828611
## [946] 14.379484155 16.433007164 4.454976182 10.140734427 13.734071881
## [951] 6.365125333 10.908095874 7.957708097 7.172527600 8.761925176
## [956] 15.638218277 1.897087402 10.342607549 16.885927006 18.447014936
## [961] 14.871369731 9.380853834 11.481247783 10.472036304 6.410562446
## [966] 10.992917294 17.466748570 17.189438773 9.226672132 20.338557079
## [971] 5.974285467 12.082898782 8.212008695 21.141910291 8.522659125
## [976] 10.272602887 5.866980882 14.915797085 6.281798545 9.960868573
## [981] 13.783536962 0.494452606 15.231749793 1.581562692 12.706158691
## [986] 11.047068892 7.690559943 23.018310756 1.854304657 0.779529616
## [991] 9.021815475 11.195121922 6.239287543 6.789292008 9.565573703
## [996] 4.678682806 6.800724974 7.556394402 11.708931351 8.695735568hist(sdn)
sdn <- as.data.frame(sdn)
ggplot(data = sdn, aes(sdn)) + geom_density(color = 'purple')
Qua đồ thị ta thấy phân phối số ly sữa đậu nành có trung bình là 10 ly và độ lệch chuẩn là 5 với xác suất là hơn 7%
Mô phỏng ngẫu nhiên phân phối nhị thức
Số ly trà tắc xí muội bán được mỗi sáng trong vòng 1000 ngày, chọn ngẫu nhiên 20 ngày, có 20% trà tắc xí muội được bán
txm <- rbinom(n=1000,size=20,p=0.2)
txm ## [1] 0 5 5 3 4 4 6 2 3 2 3 4 4 3 3 4 4 3 3 6 4 7 4 9
## [25] 3 4 7 2 4 3 3 6 6 1 6 4 3 4 3 4 1 3 7 4 2 6 6 7
## [49] 3 5 5 4 4 6 7 2 7 1 3 3 5 7 2 2 2 4 6 3 6 5 3 3
## [73] 5 6 3 5 5 2 2 0 6 6 7 4 6 4 4 3 4 9 4 3 2 6 3 2
## [97] 2 2 1 7 6 6 5 8 4 4 5 2 3 4 8 4 2 4 6 6 5 1 4 1
## [121] 5 2 2 5 5 3 6 6 5 4 4 6 2 3 5 4 7 1 5 1 1 5 4 6
## [145] 3 6 2 6 3 2 4 2 5 6 6 4 4 4 3 5 6 5 2 3 4 3 4 4
## [169] 3 2 5 2 3 5 3 4 6 3 5 1 5 7 2 6 2 2 0 4 3 6 3 5
## [193] 5 6 2 2 5 7 5 3 2 6 6 5 1 1 2 4 5 5 1 3 3 3 3 3
## [217] 7 4 6 5 4 4 4 2 3 3 2 1 3 7 5 2 3 2 1 6 2 7 4 1
## [241] 5 2 4 3 6 7 6 6 5 4 2 4 2 6 4 3 4 2 3 3 4 5 4 2
## [265] 3 2 1 2 6 9 3 0 2 3 2 3 5 4 3 3 4 3 4 4 4 4 5 6
## [289] 1 6 4 3 3 4 3 5 3 4 7 5 2 3 3 2 3 4 1 6 1 5 4 4
## [313] 1 3 8 10 6 3 4 2 2 5 5 4 7 1 5 3 3 3 3 2 7 5 2 5
## [337] 3 2 3 4 2 1 4 9 3 3 4 2 4 4 2 5 4 6 5 3 4 1 4 6
## [361] 4 5 3 2 5 6 6 1 6 6 2 3 4 3 3 3 6 5 8 4 3 6 4 5
## [385] 5 2 3 4 6 4 5 6 3 2 2 4 7 7 1 3 3 6 1 5 3 3 4 5
## [409] 3 3 5 2 0 2 4 5 3 4 5 5 2 3 4 3 3 5 5 4 5 5 1 2
## [433] 2 4 2 1 4 2 7 6 4 3 4 2 4 4 3 1 1 3 4 6 3 5 4 7
## [457] 6 0 5 3 2 3 2 6 0 5 4 3 4 7 4 2 3 1 4 2 3 3 5 1
## [481] 1 1 6 4 3 3 5 4 6 7 2 5 6 6 5 1 1 6 4 3 1 2 1 4
## [505] 5 4 5 3 7 4 4 2 9 5 5 1 3 6 2 3 2 2 4 3 8 5 5 3
## [529] 6 4 3 3 4 5 4 4 6 8 3 5 5 7 4 3 4 1 2 2 2 5 6 4
## [553] 2 3 4 2 2 7 8 3 6 7 3 2 6 3 4 3 2 3 5 3 5 4 8 4
## [577] 4 7 5 6 3 7 2 3 4 4 6 3 2 3 5 4 3 4 7 3 4 4 2 4
## [601] 7 5 3 6 4 6 0 7 4 4 9 0 6 3 3 3 1 3 3 4 2 1 1 5
## [625] 3 4 5 7 2 3 2 6 2 5 2 6 7 4 5 5 3 5 7 3 5 3 4 2
## [649] 4 8 4 4 3 3 3 3 4 5 6 6 2 1 2 6 3 4 3 4 3 4 5 6
## [673] 4 2 1 2 3 4 6 8 4 4 3 3 2 3 1 4 6 6 5 7 4 4 7 5
## [697] 2 5 3 8 3 3 3 5 4 5 1 3 3 2 1 8 7 5 2 6 5 1 4 2
## [721] 5 4 3 5 4 4 6 5 2 7 3 6 0 3 4 3 5 3 2 5 4 2 3 3
## [745] 6 3 3 4 6 4 1 6 1 1 4 3 3 6 2 5 5 5 5 6 6 2 3 4
## [769] 0 5 6 2 3 4 6 5 5 6 2 5 3 2 4 5 3 4 5 5 4 2 6 4
## [793] 3 7 6 8 4 4 3 2 6 6 6 2 4 2 6 3 3 3 4 4 2 2 7 1
## [817] 3 3 7 2 4 2 2 1 3 6 3 5 5 6 4 6 2 5 4 3 2 2 4 4
## [841] 6 6 7 7 5 4 4 1 4 4 3 4 5 6 3 9 3 3 4 2 7 7 5 4
## [865] 4 5 1 3 4 8 6 3 6 9 2 3 4 3 4 3 1 5 5 3 3 3 1 4
## [889] 6 5 3 4 5 5 2 1 4 6 8 3 2 6 5 3 3 5 6 4 4 5 4 3
## [913] 5 3 5 4 4 4 4 6 6 2 5 4 4 4 4 6 2 3 8 2 2 4 3 3
## [937] 4 6 5 4 5 3 1 1 4 2 1 5 4 3 5 4 8 5 3 3 8 3 2 6
## [961] 3 5 2 2 4 2 4 5 4 8 4 5 6 4 3 3 3 1 4 5 6 6 7 2
## [985] 6 4 2 4 1 2 3 5 7 3 3 3 4 5 3 2table(txm)## txm
## 0 1 2 3 4 5 6 7 8 9 10
## 11 65 142 217 214 149 124 50 19 8 1hist(txm)
20 ngày ngẫu nhiên trong vòng 1000 ngày xác suất có 3-4 ly trà tắc xí muội bán được là cao nhất
Mô phỏng ngẫu nhiên phân phối mũ
Số ly trà đá được mỗi sáng trong vòng 1000 ngày với tỷ lệ là 20%
td <- rexp(n=1000,rate=0.2)
td ## [1] 3.409480960 11.421391637 0.042339601 3.006535796 4.916215082
## [6] 2.194158591 12.830979404 13.140242574 1.040947527 0.394017924
## [11] 7.990126215 2.329232010 13.617965252 23.363988640 0.663837590
## [16] 0.455928347 1.492771914 0.582039517 21.186535003 6.088065603
## [21] 18.717471388 1.204924910 4.675247674 5.217070067 7.406044406
## [26] 1.782054417 0.088753403 2.182140814 0.157924390 1.392392684
## [31] 2.633833238 1.354980677 18.616398227 9.249211896 3.830896630
## [36] 25.108135900 7.096667445 0.354230300 11.500025885 13.188686715
## [41] 8.630643035 4.266787008 2.759680429 6.888636057 1.113003287
## [46] 5.828698985 15.494925602 19.236496639 3.034808764 1.627127677
## [51] 4.845752505 10.864329642 3.293229935 1.104370902 0.714776790
## [56] 5.054165455 2.347808254 1.021133339 8.713905038 10.240374988
## [61] 2.619669584 2.810116017 7.751442818 1.976687680 1.505043767
## [66] 7.831335133 0.789802938 11.292853848 4.526428083 5.075871669
## [71] 16.158196217 5.122319496 10.383008439 18.926494074 0.836199012
## [76] 1.758912905 2.256739538 4.419284085 0.803924398 1.011539388
## [81] 0.972709903 12.470311865 0.490799565 4.163260795 1.050468332
## [86] 6.261546896 3.247509769 13.681241450 2.200435488 1.600289708
## [91] 0.849064940 10.551071250 0.214776586 23.671091291 2.821923119
## [96] 0.261874143 10.073895305 0.168274357 4.367873110 2.183018010
## [101] 9.710569577 0.064119555 1.205062070 4.721074956 1.237761660
## [106] 6.857481519 10.296197813 2.348800283 4.283394929 5.155567573
## [111] 0.020408164 0.107650009 1.752768694 2.646711827 1.547044675
## [116] 24.815944665 4.814420352 7.491004334 9.978868011 2.080057610
## [121] 3.910652008 3.493760167 0.150495255 5.950138061 2.459654841
## [126] 1.761210070 3.826682223 0.880123341 9.636929724 21.400612834
## [131] 3.665388914 10.458780666 0.411747843 1.943564157 12.064523389
## [136] 5.320180254 3.427233342 2.137588086 3.169681237 1.645524516
## [141] 5.633842959 3.739396974 1.744677024 0.753917727 0.571506625
## [146] 1.388573900 2.317959811 2.079023563 7.658866113 1.323077398
## [151] 0.107330439 0.494858096 2.750230921 1.802637377 6.985855501
## [156] 8.074829943 1.216212788 18.535905731 8.706346508 0.510470158
## [161] 20.120243709 13.369718221 17.898326692 2.807857766 3.104391971
## [166] 14.582521728 5.748652364 1.071671597 1.810261277 0.350471162
## [171] 3.065499383 0.449552473 0.051539400 1.928226873 1.668487110
## [176] 3.549013523 10.606642691 0.923862773 41.204144850 6.213323138
## [181] 3.555418954 9.683645851 0.356678590 9.993342412 6.580276433
## [186] 0.088397113 9.215453630 4.133131391 0.140576167 2.802571831
## [191] 0.789708698 0.660423122 0.249324484 1.996274006 3.078688784
## [196] 5.145041318 6.075928281 17.760617573 5.786379924 2.287316127
## [201] 0.169342251 2.023950370 9.262442635 30.013183875 3.159042562
## [206] 3.421890889 0.683417693 4.040422439 0.009042425 1.502795572
## [211] 2.163821738 3.594333562 11.514588413 0.396242514 3.041314813
## [216] 20.917788408 6.125944671 15.881125405 0.343669611 0.254515462
## [221] 2.588126175 1.369514023 0.539261923 0.566776378 3.833563274
## [226] 9.684770871 8.452919851 13.722629761 1.956922613 5.699496600
## [231] 0.123147203 17.362549468 5.182448635 0.755855406 3.386881528
## [236] 1.896488331 3.929969738 14.197566099 0.179270299 3.689752116
## [241] 3.350240560 0.213869847 8.206996787 0.352716199 16.384126580
## [246] 4.766298290 0.786340858 6.257032901 6.435384247 5.821465874
## [251] 1.961275605 10.220484891 2.480627948 6.152257807 14.390870518
## [256] 3.756727091 1.267285852 17.055195457 9.142553508 2.763324392
## [261] 2.251923771 10.366416107 6.768065733 20.698614892 5.334088560
## [266] 0.796423221 0.318920569 1.033166018 0.442429434 2.100693518
## [271] 3.203633120 2.143685857 12.571241119 3.473179093 1.696037322
## [276] 5.119402415 4.859306449 2.966669186 9.141193712 1.252174054
## [281] 1.522420126 8.593176212 3.752234882 8.034330327 6.627774536
## [286] 3.180026843 10.291832741 0.170349283 1.295633479 1.056396181
## [291] 0.753837367 12.473300319 3.303647775 8.649435117 4.151389245
## [296] 7.346687540 1.027550451 8.888194505 2.795297285 3.514485280
## [301] 4.083583145 1.004324004 0.199344705 2.325657108 0.835842313
## [306] 4.672664949 9.593304386 2.233576619 17.386897680 7.548672873
## [311] 3.306381535 10.980521448 3.244096416 2.777464478 12.970448555
## [316] 5.827711914 0.095762985 5.126232406 6.536391428 5.116907018
## [321] 6.431448143 5.229527851 11.622583186 1.381218026 1.034866851
## [326] 3.837208537 0.215091665 12.070110337 0.893387501 6.926968857
## [331] 0.828055510 4.550222195 0.943682017 1.336297023 8.523362130
## [336] 9.821864890 0.290036532 8.885064635 0.237592516 0.948370968
## [341] 0.127953589 5.009105243 1.996719583 3.414282303 1.254704013
## [346] 30.942166371 6.740759217 1.763185430 0.843837194 6.520705584
## [351] 6.758781802 2.608858692 3.618625989 7.678295848 10.240336991
## [356] 2.630300908 10.969253303 4.572240234 5.754536344 2.807845396
## [361] 7.409636182 2.195210308 7.835373364 1.299118911 1.061404101
## [366] 3.766746429 2.127896461 0.834328956 3.753246288 1.113075216
## [371] 3.395420343 7.082390673 1.719638291 10.748036885 0.346725679
## [376] 9.656546712 3.106273944 7.661212040 17.550011528 1.045247295
## [381] 1.889401218 0.466523445 3.712690463 26.265954129 1.784650485
## [386] 0.732530386 8.474161038 6.431530039 0.268799223 1.036157170
## [391] 4.710746802 1.457602950 6.076499433 0.840055300 3.178846580
## [396] 2.999169102 1.063640681 6.990972394 4.821881755 1.521406909
## [401] 9.323399597 0.480529468 2.935408431 19.367056590 6.097686137
## [406] 6.394255818 2.016287087 4.154760015 0.687820206 1.869308834
## [411] 9.220887217 3.730689538 1.246427011 5.982520771 2.581450061
## [416] 1.391619338 2.946494280 0.795635197 1.011805048 1.649116783
## [421] 4.788710624 0.062716923 1.226480585 2.615520309 4.591273083
## [426] 2.671316420 7.593053197 0.015364033 1.474412662 0.045150730
## [431] 4.321114830 0.230518116 13.006693003 3.262155226 10.578349279
## [436] 2.422804651 1.874049909 25.780058730 6.167849595 1.615982265
## [441] 2.340094324 2.759005732 1.547057078 3.693964995 2.196793549
## [446] 2.448478877 0.471119606 4.162475168 1.244178258 6.909419382
## [451] 0.791863994 11.122650178 0.055541683 1.077240401 2.589053446
## [456] 0.039486026 0.837168872 0.905641955 0.223231402 1.598451777
## [461] 7.200480895 2.647277981 3.946373141 4.532606611 1.673697417
## [466] 1.142542742 0.666790758 6.375838479 2.094799599 0.992942606
## [471] 0.108461196 0.175904790 2.202162349 0.987559849 11.431905428
## [476] 7.515123950 18.875258443 1.239076548 0.266713367 5.256850746
## [481] 0.889009596 3.607671619 2.571682783 2.592070505 0.886891447
## [486] 5.609795879 10.983980083 12.682185722 11.698782732 1.403242615
## [491] 2.433153254 1.728380099 1.214135848 3.260341361 5.126571572
## [496] 7.338590240 4.514430447 1.616862719 0.576009712 8.025040933
## [501] 11.933335279 5.839362209 6.858010213 5.253457799 2.692342082
## [506] 9.250202588 4.814445592 7.005756021 1.843743054 9.820663398
## [511] 4.471558649 0.811720931 1.750853057 4.374929224 8.849336039
## [516] 1.136206710 0.356128018 1.399968669 5.373126752 0.505054954
## [521] 5.186264319 4.626005301 6.871026475 3.393522047 0.370978616
## [526] 0.347466461 0.999848654 0.461806473 8.686865493 0.447868956
## [531] 1.704753588 1.200947305 2.468379184 3.095292575 10.743101863
## [536] 0.975592386 6.770930099 1.039131329 6.420524097 1.432849606
## [541] 4.748422061 4.653397600 1.492219877 13.529535615 6.081731287
## [546] 1.635940075 5.324935741 1.928455350 7.968947529 15.355127006
## [551] 5.718125026 15.433922272 2.516112684 5.061445179 3.021886703
## [556] 3.207770789 1.590312992 0.979782382 2.918629826 1.138181507
## [561] 7.286752853 1.543887645 2.728199833 2.656630643 4.688644223
## [566] 2.337241550 5.895240581 15.303669571 2.576482936 2.412634755
## [571] 0.556000206 0.259625072 1.197601429 5.068711225 2.293034582
## [576] 2.075468120 7.047812230 0.957395730 0.079504082 2.011967450
## [581] 4.856750150 0.686172013 16.354021392 3.741188221 1.382291702
## [586] 1.666304639 1.914988761 4.099060185 4.500926593 0.929859437
## [591] 8.931734353 5.592287644 5.191493388 13.140217335 33.191526027
## [596] 4.571918823 1.176821073 5.893535130 1.181586697 4.760339143
## [601] 3.923678202 4.403941505 3.610575839 8.770263526 17.953129736
## [606] 3.518404502 4.732415206 13.859080290 0.916584229 4.157283460
## [611] 3.495872282 2.278525583 1.187567550 2.449743729 4.822237190
## [616] 12.416314845 0.072783595 7.390607493 0.114688136 0.156187543
## [621] 4.554375936 2.977925086 2.417100181 14.027702507 19.424504143
## [626] 5.371622378 2.726953212 3.845625561 2.919924096 6.049223705
## [631] 8.623212557 7.626703893 3.920746036 11.323315417 0.245262952
## [636] 7.926679276 4.334477433 3.485409422 0.757973704 0.761224723
## [641] 1.100890983 6.179546709 0.096930263 5.972105777 5.520703615
## [646] 0.542946744 4.145660191 20.493716773 0.299736005 5.473124578
## [651] 18.099277717 2.301287944 0.285196968 1.887476600 16.368928551
## [656] 7.348316768 3.332674613 5.112404362 0.637431345 7.270381767
## [661] 0.321938416 2.158572138 8.338812128 5.823762580 1.580774243
## [666] 0.024108069 4.789726990 10.069803772 3.726127427 2.784064817
## [671] 5.221364898 5.531536280 3.500843677 6.321951425 4.792037501
## [676] 12.141612665 1.309233187 13.627915447 1.617678576 2.032397857
## [681] 1.196488841 1.182474425 0.690571489 5.753322602 1.296127513
## [686] 4.403287670 1.586913689 6.321393014 4.102066330 4.290321255
## [691] 1.100293656 13.201129576 2.603933553 6.896538525 2.372251428
## [696] 9.298264561 3.691037749 2.432978302 4.026030388 1.039210299
## [701] 0.347369490 3.869294069 0.275572546 12.447950551 0.652329226
## [706] 1.644233672 10.560761084 7.364863501 1.819006863 4.065858316
## [711] 14.372640784 2.786563272 9.398164289 1.230078267 6.268210839
## [716] 4.940731223 5.224985652 5.416532731 3.016169081 3.334640129
## [721] 9.474365133 0.889620997 4.642778869 19.728538197 3.708193837
## [726] 10.111063690 4.356951476 0.588461857 4.977801576 2.538264096
## [731] 6.691243290 12.621275381 1.780639244 1.151968628 4.025280648
## [736] 0.954978964 0.914903802 4.975060539 1.863158462 1.441735560
## [741] 5.114463158 3.935936311 5.152272973 3.808608553 6.412481586
## [746] 7.063503209 0.631397485 1.131979031 10.513330202 2.706950832
## [751] 3.532065756 0.281306095 4.233008738 6.902880496 2.191058004
## [756] 0.071636876 4.512189808 6.729700379 1.340704525 2.988061013
## [761] 1.065659693 2.501821239 2.542712064 2.466843775 10.377090564
## [766] 1.850822682 0.770127578 0.324271366 1.170967410 6.195568405
## [771] 3.311197120 6.434497789 0.389514274 0.272554739 2.003570548
## [776] 4.812692939 12.216093106 1.986416995 5.203011497 3.085686723
## [781] 10.957996256 0.348866602 2.150112051 11.877251705 5.431094840
## [786] 3.383175489 2.766828799 1.576474910 0.485262710 4.106377996
## [791] 5.608482878 0.138244722 1.111317057 16.220467537 0.996852014
## [796] 0.825064346 7.142272647 13.675605831 2.141241199 2.861419376
## [801] 0.621403339 4.092663787 13.792715882 4.490383216 2.003476098
## [806] 9.146470171 6.758749429 1.319874844 3.124430617 1.206273081
## [811] 29.918956091 10.520896362 2.052149936 4.664149686 0.876168360
## [816] 0.546158417 4.674380771 0.185430241 3.557851324 1.194194844
## [821] 1.886227818 9.133108202 3.475718560 3.828625347 7.780231009
## [826] 0.017889687 2.213646637 0.984069437 3.725179285 6.562638986
## [831] 5.612245264 1.592466487 5.858583348 4.458661374 4.283371193
## [836] 5.374282370 10.293888244 0.453594476 2.563022315 4.629007992
## [841] 8.051493521 2.766509971 5.919608460 1.422067266 2.132707133
## [846] 20.075084221 5.351991062 4.197970644 6.160569009 6.127502494
## [851] 8.463032739 1.476161473 6.382051534 10.706654460 8.927358398
## [856] 0.120832573 3.829297229 12.985044484 0.464420597 5.139111974
## [861] 0.723702317 0.094490320 9.548160182 8.906570736 3.056965424
## [866] 5.021642367 2.120725935 3.314052944 8.357174331 7.974776672
## [871] 3.655303642 4.228599556 5.341631209 0.990890984 9.595305947
## [876] 1.367789137 0.230076141 8.105893628 8.053512107 1.565874929
## [881] 7.272690743 1.659161097 1.746903546 0.134924722 14.055001830
## [886] 8.563599964 0.629425067 1.961302361 2.551645336 1.329922103
## [891] 2.831222611 3.337301814 21.380874171 5.204920117 3.456237419
## [896] 6.766817467 6.236649230 3.416433802 5.117438845 0.698079215
## [901] 2.493694185 3.653701977 0.337416462 2.179000655 2.895039567
## [906] 4.700285513 7.214660731 6.983425831 21.479138980 7.452621394
## [911] 4.910042747 2.960168271 1.120971628 2.483074879 2.745405042
## [916] 9.511213954 0.708514652 9.878321476 0.880736387 0.496095825
## [921] 3.711026617 12.274311930 0.060946965 1.902869118 3.694497656
## [926] 0.648280646 2.078329090 6.501144655 0.878043419 2.443272807
## [931] 0.479803201 4.831707014 3.776798155 0.833329151 5.864476445
## [936] 4.647316914 0.445767113 10.469918247 6.686600488 11.041459357
## [941] 2.485557466 0.938929988 20.181763572 1.891154349 21.156447026
## [946] 0.314885306 3.734296290 3.547472157 1.817659726 3.463080223
## [951] 10.686777571 0.187311899 1.378852709 10.260635782 0.985157124
## [956] 8.283171510 0.557305048 0.611500009 2.885788933 6.959961852
## [961] 18.368324366 0.111487636 6.395090576 4.354625342 5.154497954
## [966] 3.647736977 15.357701219 1.482109057 13.395111663 0.558384700
## [971] 5.403498944 0.577498363 4.976815083 6.634565550 4.331095530
## [976] 18.605802384 3.423553079 5.176050877 7.073538107 4.582923166
## [981] 4.439929560 2.375183029 1.244111599 10.134679051 3.943078071
## [986] 3.031620135 0.710627816 4.440840461 2.194170158 0.627791334
## [991] 1.994851714 1.107509746 0.123344731 5.745588927 2.283015574
## [996] 0.952951735 19.556294185 1.733942448 1.874189392 1.983320853hist(td)
td <- as.data.frame(td)
ggplot(data = td,aes(td)) + geom_density(color = 'blue')
Qua đồ thị ta thấy xác suất mà quán không bán được ly trà đá trong vòng 1000 ngày là khoảng 40%
Thống kê mô tả
Biến bánh căn
library(fBasics)
basicStats(bc)## bc
## nobs 1000.000000
## NAs 0.000000
## Minimum 45.011061
## Maximum 49.992530
## 1. Quartile 46.302769
## 3. Quartile 48.785047
## Mean 47.529624
## Median 47.520556
## Sum 47529.623978
## SE Mean 0.045745
## LCL Mean 47.439857
## UCL Mean 47.619391
## Variance 2.092574
## Stdev 1.446573
## Skewness -0.016934
## Kurtosis -1.192921Thống kê mô tả của biến bánh căn thể hiện trung bình mỗi sáng quán sẽ bán được 47 phần bánh căn trong vòng 1000 ngày, ngày bán được ít nhất sẽ là 45 phần và ngày bán được nhiều nhất là 49 phần.
Biến sữa chua phô mai
scpm <- rpois (n=1000,lambda=10)
scpm## [1] 12 15 14 6 8 12 5 12 7 12 12 14 11 6 9 6 10 10 9 9 12 12 11 9
## [25] 8 12 11 11 11 10 8 6 11 4 13 13 9 9 15 9 11 11 17 12 12 7 12 7
## [49] 12 10 10 11 13 11 5 11 5 8 12 8 8 12 5 8 12 13 19 9 5 8 10 4
## [73] 12 8 16 10 8 10 10 6 14 14 13 10 11 11 13 11 9 9 11 10 9 12 13 7
## [97] 17 10 11 11 9 7 14 11 7 10 9 14 8 10 7 8 8 10 9 5 9 10 13 16
## [121] 11 12 9 11 16 7 15 10 17 11 13 10 8 12 8 12 7 6 10 9 7 10 12 9
## [145] 13 6 6 10 7 8 15 14 9 8 12 9 14 14 11 10 15 14 11 12 6 6 7 8
## [169] 10 8 11 9 8 13 7 12 5 7 10 5 8 13 8 12 7 12 15 17 12 13 8 8
## [193] 7 12 9 11 11 16 9 16 14 8 7 8 13 15 11 15 14 9 17 8 12 4 8 11
## [217] 12 8 13 11 11 11 13 10 9 11 8 10 7 7 10 13 16 11 10 9 10 13 12 13
## [241] 8 12 14 7 7 7 6 13 8 7 11 9 12 5 9 9 5 14 7 9 13 12 10 12
## [265] 9 12 10 14 3 16 9 9 13 6 14 9 8 14 14 12 11 5 7 13 14 14 18 19
## [289] 5 7 9 11 16 16 6 11 11 9 15 12 9 11 9 12 10 4 11 12 12 6 15 10
## [313] 15 12 10 6 10 7 18 13 8 8 11 10 15 9 9 7 6 4 11 13 15 7 8 5
## [337] 7 7 8 6 16 6 6 11 12 7 8 7 14 3 6 10 9 11 14 8 8 12 10 8
## [361] 3 6 9 11 16 8 11 13 6 12 10 6 6 11 12 8 5 6 15 8 6 10 6 12
## [385] 9 12 12 8 9 9 10 8 6 12 13 10 12 7 10 8 8 16 12 9 5 14 5 10
## [409] 8 13 3 14 12 12 17 10 14 9 8 11 9 7 8 10 7 8 13 12 11 9 10 11
## [433] 11 8 11 6 10 17 7 8 5 11 12 12 6 8 17 13 7 16 6 7 9 12 13 11
## [457] 8 12 12 16 5 3 11 10 6 8 11 13 12 18 10 11 9 11 10 10 11 11 12 11
## [481] 12 12 16 10 7 16 6 7 8 8 15 12 13 6 7 11 10 5 11 9 12 11 11 10
## [505] 8 7 12 9 6 9 5 8 14 14 10 9 7 8 10 10 14 14 6 10 6 10 15 16
## [529] 16 11 13 11 6 7 14 10 7 11 15 6 11 7 8 16 11 14 9 12 9 11 14 12
## [553] 9 8 11 15 5 18 9 16 7 14 9 11 10 11 13 13 14 9 8 6 10 6 9 12
## [577] 8 7 6 13 12 10 11 11 9 10 4 8 8 10 12 5 10 16 4 12 10 10 8 10
## [601] 12 14 8 9 13 11 10 17 11 11 4 6 7 12 8 12 14 10 7 9 6 14 8 6
## [625] 9 10 13 10 8 9 9 10 14 8 10 8 8 11 10 10 10 5 11 11 14 9 12 8
## [649] 11 13 9 6 10 3 7 8 7 6 11 10 5 10 13 15 12 14 11 10 13 15 7 10
## [673] 9 5 10 12 12 13 5 7 12 6 11 8 7 5 5 12 14 12 6 12 3 7 11 11
## [697] 14 13 13 13 14 12 7 8 8 11 16 6 5 9 12 11 4 12 9 12 9 9 8 18
## [721] 8 9 6 14 14 10 10 12 7 9 17 6 11 9 7 7 6 15 11 9 10 11 10 11
## [745] 8 10 11 12 10 9 10 11 6 8 8 1 8 8 12 10 16 12 9 9 7 11 12 16
## [769] 10 13 12 10 9 10 13 8 5 10 5 13 7 12 8 12 12 19 14 10 12 8 11 13
## [793] 10 7 9 8 12 12 11 11 13 11 7 13 10 10 12 9 12 11 2 8 8 8 9 14
## [817] 8 7 11 13 14 12 8 9 9 16 13 18 13 12 12 7 6 10 8 3 13 11 11 5
## [841] 10 10 9 18 10 3 9 7 12 9 5 11 11 9 10 8 8 7 11 15 9 11 5 10
## [865] 17 11 9 8 8 13 15 9 12 12 11 8 6 8 6 11 10 9 13 11 13 8 9 9
## [889] 7 9 9 12 9 8 15 5 14 11 12 16 7 11 7 5 15 13 7 10 6 15 4 15
## [913] 9 10 15 10 7 9 12 11 7 7 7 14 12 7 13 10 11 5 9 9 12 14 6 3
## [937] 8 13 11 11 7 9 6 9 15 14 14 15 11 9 14 11 9 15 10 17 12 11 14 5
## [961] 18 13 8 10 15 9 8 15 6 5 11 6 9 8 10 12 15 11 14 12 9 11 9 12
## [985] 12 12 11 15 15 8 11 9 11 8 10 9 11 11 6 12basicStats(scpm)## scpm
## nobs 1000.000000
## NAs 0.000000
## Minimum 1.000000
## Maximum 19.000000
## 1. Quartile 8.000000
## 3. Quartile 12.000000
## Mean 10.124000
## Median 10.000000
## Sum 10124.000000
## SE Mean 0.097458
## LCL Mean 9.932754
## UCL Mean 10.315246
## Variance 9.498122
## Stdev 3.081902
## Skewness 0.152920
## Kurtosis -0.203458Thống kê mô tả của biến sữa chua phô mai thể hiện trung bình mỗi sáng quán sẽ bán được khoảng 10 hủ trong vòng 1000 ngày, ngày bán được ít nhất sẽ là 2 hủ và ngày bán được nhiều nhất là 22 hủ.
Biến sữa đậu nành
basicStats(sdn)## sdn
## nobs 1000.000000
## NAs 0.000000
## Minimum -5.475897
## Maximum 26.792026
## 1. Quartile 6.809298
## 3. Quartile 13.643674
## Mean 10.171047
## Median 9.934887
## Sum 10171.046556
## SE Mean 0.159607
## LCL Mean 9.857843
## UCL Mean 10.484250
## Variance 25.474410
## Stdev 5.047218
## Skewness 0.119202
## Kurtosis -0.148448Thống kê mô tả của biến sữa đậu nành thể hiện trung bình mỗi sáng quán sẽ bán được 10 ly sữa đậu nành trong vòng 1000 ngày, sẽ có những ngày không bán được ly nào và ngày bán được nhiều nhất là khoảng 27-28 ly.
Biến trà tắc xí muội
basicStats(txm)## txm
## nobs 1000.000000
## NAs 0.000000
## Minimum 0.000000
## Maximum 10.000000
## 1. Quartile 3.000000
## 3. Quartile 5.000000
## Mean 3.929000
## Median 4.000000
## Sum 3929.000000
## SE Mean 0.056384
## LCL Mean 3.818356
## UCL Mean 4.039644
## Variance 3.179138
## Stdev 1.783014
## Skewness 0.315402
## Kurtosis -0.197498Thống kê mô tả của biến trà tắc xí muội thể hiện trung bình mỗi sáng quán sẽ bán được 3-4 ly trà tắc xí muội trong vòng 1000 ngày, sẽ có những ngày không bán được ly nào và ngày bán được nhiều nhất là 10 ly.
Biến trà đá
basicStats(td)## td
## nobs 1000.000000
## NAs 0.000000
## Minimum 0.009042
## Maximum 41.204145
## 1. Quartile 1.328211
## 3. Quartile 6.524627
## Mean 4.899486
## Median 3.394471
## Sum 4899.485853
## SE Mean 0.161524
## LCL Mean 4.582522
## UCL Mean 5.216450
## Variance 26.089847
## Stdev 5.107822
## Skewness 2.152494
## Kurtosis 6.551286Thống kê mô tả của biến trà đá thể hiện trung bình mỗi sáng quán sẽ bán được 4-5 ly trà đá trong vòng 1000 ngày, sẽ có những ngày không bán được ly nào và ngày bán được nhiều nhất là 35 ly.