Simulacion de Variables Aleatorias no uniformes en R

LLegada de solicitudes

Suponga que, en promedio, llegan 5 solicitudes por hora al sistema.

a.Genere 5000 valores aleatorios que representen el número de solicitudes que llegan en cada hora.

b.Interprete el resultado.

c.Realice un gráfico de barras de las frecuencias.

d.Determine la probabilidad impírica de lleguen menos de 3 solicitudes

solicitudes<-rnorm(5000,5)
solicitudes
##    [1] 3.689586 5.251906 4.937547 5.038277 5.927384 4.089421 4.845981 4.744432
##    [9] 4.531687 4.491326 6.186482 6.324882 6.259269 4.821943 3.905055 4.659876
##   [17] 4.302154 4.407834 3.027111 5.716579 4.628198 4.407670 5.293999 5.423859
##   [25] 5.449501 4.539402 6.065649 2.998655 4.971342 6.590323 7.018470 3.842513
##   [33] 5.719313 5.540659 5.108170 3.262498 5.797692 4.951163 5.763528 5.951319
##   [41] 4.879468 3.926444 5.284460 7.615241 5.036792 5.742295 3.365864 5.893044
##   [49] 5.112059 4.516134 5.022879 4.680524 4.887214 3.813065 3.916560 5.500840
##   [57] 4.763269 4.459774 3.169729 4.960861 5.163440 4.122928 5.812395 4.386338
##   [65] 4.465916 5.667398 4.410698 5.268145 6.280713 5.312826 4.803418 4.768306
##   [73] 2.936255 4.099148 4.313167 4.520669 3.491955 4.278550 5.857517 5.854072
##   [81] 3.170041 4.301429 4.668911 5.099262 5.525584 4.559467 6.990455 4.678169
##   [89] 5.182899 5.137041 5.312635 5.870870 4.470548 5.876612 6.710172 6.383169
##   [97] 5.920426 5.886747 5.243240 4.175168 6.167395 3.043207 5.225218 5.527598
##  [105] 4.851275 3.007732 4.647345 7.930163 5.310739 3.736666 4.484491 5.192354
##  [113] 4.468132 4.242229 4.384431 5.175487 4.174143 4.780199 3.963575 4.128555
##  [121] 3.954260 5.406865 6.478369 6.503747 6.937580 4.835580 4.902070 4.873959
##  [129] 3.958844 5.531095 5.281893 5.182789 4.671195 5.072961 3.998297 4.199869
##  [137] 6.754295 6.236858 5.718262 5.494154 3.968708 4.927689 6.872304 3.637199
##  [145] 4.451167 5.524369 5.935373 5.434246 6.137474 4.876700 4.448153 5.321047
##  [153] 5.811570 3.851975 5.109173 6.055130 6.612002 5.533087 4.888022 5.005331
##  [161] 5.453365 5.171071 4.068887 4.657097 5.614155 2.896946 6.154064 5.964092
##  [169] 4.584691 4.893919 4.673033 6.195309 5.758024 8.101844 4.483330 4.663993
##  [177] 4.097260 5.481989 4.382361 2.689360 5.485244 5.251657 4.075480 5.586457
##  [185] 5.218960 5.362993 6.134076 3.456150 5.257841 4.395867 4.155643 4.811245
##  [193] 5.535110 5.344793 3.937432 3.757901 5.760951 3.346561 6.032499 5.230766
##  [201] 3.657590 5.465665 5.126818 4.157522 5.273393 4.870414 4.442752 5.908350
##  [209] 6.516895 5.426497 6.858300 4.679690 5.086944 4.592704 4.173331 5.188898
##  [217] 5.480372 4.000628 6.222410 6.454635 5.091054 4.707783 4.276528 3.099172
##  [225] 5.950996 5.962226 3.622893 4.543904 5.212822 5.139566 5.081858 3.288216
##  [233] 3.408009 5.099282 4.593065 4.881494 7.025457 3.972666 5.612906 2.907423
##  [241] 6.221482 5.276148 6.265380 3.027644 6.093619 6.923502 4.737677 3.549788
##  [249] 4.433143 6.337096 6.267803 4.555974 5.239241 6.057171 4.750919 5.426206
##  [257] 3.942751 5.456380 6.810109 5.317893 4.246456 3.896804 3.532041 5.475312
##  [265] 6.551146 5.651150 4.692099 5.048391 4.928025 4.798189 4.152029 6.031295
##  [273] 3.962213 4.590106 5.370587 5.085825 5.016045 5.069584 4.780559 3.104334
##  [281] 3.289265 3.241940 5.425621 3.507731 3.531048 6.506378 3.243177 6.253678
##  [289] 4.642424 5.040937 4.291193 4.166239 5.793298 5.039176 3.140025 5.644890
##  [297] 4.613771 4.755495 2.721716 5.701779 4.935379 6.229270 5.687699 6.241932
##  [305] 5.889795 4.679837 3.995963 4.822881 4.849176 4.752658 5.280184 4.599535
##  [313] 4.492263 5.355199 4.247927 6.369570 5.264033 5.114527 4.951695 3.631088
##  [321] 6.573539 5.545102 4.564261 5.775192 3.016519 5.287299 4.634018 4.864678
##  [329] 5.891259 3.527193 5.403325 5.080871 3.758383 3.672885 4.657111 4.107992
##  [337] 3.959059 5.044773 5.414447 3.901755 4.585551 6.360788 5.749779 5.404038
##  [345] 6.199256 4.386787 6.249254 5.856498 4.428743 3.947165 4.367861 4.972835
##  [353] 5.888437 5.768325 3.671151 5.137410 6.848762 5.139200 4.341617 3.903012
##  [361] 4.138636 7.035125 5.101209 3.169511 1.677169 6.630594 4.789751 5.550926
##  [369] 4.049122 4.377605 6.110326 6.891167 4.228085 5.202309 4.914908 2.873905
##  [377] 4.943760 5.256209 5.446653 3.510590 2.710269 4.456304 4.473716 5.235265
##  [385] 4.471626 4.797530 3.930476 5.575488 5.156495 4.045223 4.656644 4.726560
##  [393] 3.584806 5.316815 5.195896 4.478708 4.699728 4.626954 4.684484 2.880645
##  [401] 5.930490 4.327922 4.392126 6.392350 6.191881 4.076185 3.855123 4.493475
##  [409] 5.520840 4.735607 7.467692 4.608538 5.359398 4.338048 5.459438 3.806882
##  [417] 6.022439 3.467921 3.996284 6.143417 3.990914 5.212776 6.529964 3.300781
##  [425] 5.124171 5.433080 4.346388 4.266238 4.580107 4.792518 4.706251 3.274163
##  [433] 3.517027 5.644172 6.213702 4.824508 4.900821 5.752160 4.841170 5.499887
##  [441] 4.357970 4.489451 6.734874 4.048995 4.376975 4.519969 5.483940 5.979975
##  [449] 4.192111 3.615963 5.192197 2.535683 3.368179 5.559645 4.426613 3.050408
##  [457] 5.601903 5.287949 4.917866 5.489892 4.377982 3.569734 5.163558 3.949704
##  [465] 3.657167 5.992409 5.834825 4.591256 7.286100 4.977815 5.508862 4.622713
##  [473] 4.746946 4.940351 3.955442 5.665391 5.107658 5.389109 3.898576 5.107941
##  [481] 4.759346 6.099794 4.439407 7.118694 5.190645 5.115252 6.340402 4.442967
##  [489] 6.553453 2.356504 6.212458 4.781931 6.264799 5.396641 5.722634 4.653710
##  [497] 6.099723 5.843046 4.247883 6.274335 6.023968 3.313951 4.438182 4.693688
##  [505] 4.969559 6.949780 5.492080 4.734564 3.069947 5.877184 5.426302 3.263988
##  [513] 5.608895 4.883820 4.305376 5.439199 6.318760 5.889199 3.317289 4.285033
##  [521] 5.081609 3.628105 4.375325 6.035340 5.498894 5.443724 4.676987 5.328734
##  [529] 5.611759 5.056694 6.562326 5.666450 3.071540 5.676416 5.733610 3.935808
##  [537] 5.806603 5.278482 5.693352 5.272116 3.954684 4.553759 5.139140 3.920826
##  [545] 4.341389 5.660842 4.906836 5.608827 4.547453 2.726215 3.246552 6.270638
##  [553] 5.185767 2.658342 4.840860 4.355422 7.149260 3.599002 4.173008 6.006564
##  [561] 6.366923 3.363607 4.978112 4.743564 4.930594 4.679298 5.239174 5.253498
##  [569] 5.763940 6.174728 6.504521 8.027130 4.424411 5.718972 5.727376 6.134536
##  [577] 5.009968 4.684272 4.276254 5.045738 5.395007 4.523570 4.880212 5.359614
##  [585] 5.676654 4.589543 4.817071 4.121428 6.420635 3.947234 4.273652 4.885485
##  [593] 4.749480 5.153967 3.709496 4.824085 4.520886 5.099397 4.001222 6.582920
##  [601] 3.871942 4.433650 4.052916 5.300891 6.338132 5.495328 4.976374 6.090036
##  [609] 3.303559 4.215768 5.355342 3.831207 5.612232 5.296479 4.158751 4.397236
##  [617] 5.574245 4.689087 4.342443 5.667111 3.878427 5.376219 5.358622 4.432352
##  [625] 3.017345 6.108785 6.618206 4.120100 4.046694 5.841442 5.957364 4.781123
##  [633] 5.796465 5.003411 3.887730 5.424233 5.398029 4.900739 5.680190 5.606045
##  [641] 5.000018 5.915367 4.653065 4.419246 3.964760 4.903938 5.515686 5.710640
##  [649] 4.268306 5.000561 4.896563 3.703688 4.392025 6.329187 4.206269 5.556114
##  [657] 5.860570 5.029817 4.535345 4.126184 2.672854 5.328362 4.655721 5.700607
##  [665] 5.330907 5.673936 4.542454 5.814967 4.450250 5.569643 4.530825 5.978530
##  [673] 6.200153 4.672873 4.108693 4.282126 5.370772 2.993819 4.014735 6.377307
##  [681] 3.376292 5.220068 5.217930 6.786364 4.088105 5.477803 6.060634 4.240553
##  [689] 3.863275 5.545012 7.157141 5.947136 5.207475 5.379106 5.152820 5.390012
##  [697] 5.561417 5.328706 4.025475 4.278579 4.727783 5.790949 6.937771 5.705976
##  [705] 4.379815 5.156802 4.935573 5.716394 4.326321 5.010930 5.016617 4.082294
##  [713] 4.449483 5.329483 3.083431 5.406701 4.458899 6.129913 6.015532 4.193831
##  [721] 4.619382 5.840024 4.093001 4.378935 5.606976 3.531644 5.351184 5.070861
##  [729] 5.863581 5.074656 4.916036 5.337966 4.461998 5.699929 3.434695 5.009462
##  [737] 5.551019 4.288672 5.291088 5.941977 6.548597 6.339209 5.015352 4.610953
##  [745] 5.714860 5.183154 5.393136 3.152306 3.404285 4.710112 3.370554 4.000796
##  [753] 6.007507 6.290543 5.810455 6.224385 4.755394 5.508869 6.679323 4.305676
##  [761] 5.312596 5.701895 4.588386 4.948416 3.705489 4.560061 6.115079 4.480853
##  [769] 4.467074 5.730622 5.195568 6.128828 6.688534 6.726949 4.894749 6.079211
##  [777] 4.473212 5.885469 5.207564 5.128679 5.123745 3.539694 5.703544 4.758565
##  [785] 5.328219 6.870268 6.264919 4.885120 4.770610 5.132318 4.137739 3.987596
##  [793] 5.667738 6.197880 4.349703 4.164830 5.317539 3.710974 4.784542 4.195432
##  [801] 4.291304 6.031073 3.815967 3.943608 5.612197 6.149531 3.840270 5.243900
##  [809] 5.137423 7.050514 4.998159 7.247690 5.536046 4.993681 5.133420 5.189022
##  [817] 6.432688 4.549183 4.110024 7.063525 5.519303 4.904606 4.653147 4.562231
##  [825] 4.281793 4.440688 5.407191 3.113996 5.510705 5.389126 4.890551 4.711626
##  [833] 5.864994 6.796573 5.501230 6.034245 5.232645 6.965323 4.496220 4.240514
##  [841] 5.230844 7.410268 6.677243 5.562903 4.871985 4.411788 2.363554 5.804720
##  [849] 4.724204 6.135061 5.547668 3.430796 5.289561 4.364326 4.128016 3.049149
##  [857] 6.250395 5.327821 4.580141 6.151192 4.161159 4.803450 6.435376 6.520778
##  [865] 3.504641 5.055388 6.291488 5.172504 4.455747 5.290410 4.495052 5.294429
##  [873] 4.657704 5.220350 7.001933 4.610019 3.698650 3.840047 6.206147 3.842851
##  [881] 6.409166 6.197691 4.392557 4.295372 4.307393 3.850972 4.607659 5.961714
##  [889] 5.057795 5.777983 5.774157 6.733566 5.238519 5.423550 3.556189 4.593806
##  [897] 5.401415 6.125445 4.787834 4.001777 5.083654 5.850165 5.388706 4.882480
##  [905] 5.975848 5.332180 3.905166 6.199805 5.355958 5.875272 4.376815 6.150507
##  [913] 4.213242 3.829763 3.411554 2.963326 5.001389 5.425057 5.225475 4.331923
##  [921] 5.361233 5.560288 4.217985 3.812198 5.650897 4.606888 5.542969 5.267522
##  [929] 4.237953 5.081936 5.075924 5.019940 3.395758 5.421349 3.564196 5.066880
##  [937] 4.288157 4.759582 5.693592 5.565037 6.017386 4.832522 5.537502 6.750031
##  [945] 5.063069 4.574308 6.315480 3.485208 4.921023 4.107704 4.089623 4.913698
##  [953] 4.197535 4.516525 4.795690 3.861586 4.953811 5.550824 4.712624 6.123249
##  [961] 6.897247 3.970393 5.406173 4.882689 4.726546 6.151238 6.277559 4.932383
##  [969] 4.461265 5.000501 4.421949 6.213766 5.094032 5.663432 5.309029 3.714776
##  [977] 3.297132 3.937969 5.686615 5.531273 6.053046 4.316660 6.323347 6.632151
##  [985] 6.203028 3.885703 5.340410 5.531609 5.920544 4.826198 5.252564 5.163553
##  [993] 3.853917 5.386975 5.215958 5.112480 5.934975 6.142988 4.969035 6.060411
## [1001] 5.670230 4.705464 6.202311 5.206157 6.548698 4.555192 4.549537 4.600378
## [1009] 5.268684 4.064281 2.822751 5.908022 4.445191 4.166226 4.024655 4.838055
## [1017] 5.893091 4.278754 6.297097 4.737320 3.432938 3.548927 5.193640 5.429191
## [1025] 4.788285 4.106198 5.661206 4.761451 3.168224 4.328861 6.102783 5.263736
## [1033] 4.109293 3.168887 3.811209 4.802153 4.777427 5.249508 5.287367 4.109247
## [1041] 4.477784 6.118636 4.559917 5.241704 5.862908 3.207563 6.763556 4.468387
## [1049] 3.804456 4.833278 4.455456 3.712167 4.217891 4.795939 4.915393 4.568264
## [1057] 4.429758 4.088530 5.590194 5.727246 5.371495 4.919817 3.921827 5.532686
## [1065] 5.029378 5.665102 5.051903 5.744657 4.995774 4.421467 5.324698 6.399934
## [1073] 5.930713 4.292908 4.399191 5.294013 3.932149 3.885469 5.414749 4.348821
## [1081] 5.991521 4.239115 2.985283 3.941064 5.042178 4.257980 3.956644 4.658796
## [1089] 5.875352 4.331225 4.959565 5.277733 5.457577 4.262050 5.061272 4.219054
## [1097] 4.723434 4.763512 4.636800 5.112351 6.279050 5.471528 5.135547 4.649642
## [1105] 5.669205 4.389990 5.375189 5.556881 4.711233 4.393657 5.627536 6.019594
## [1113] 4.839503 5.992132 4.637129 6.148057 7.077495 3.395236 4.164672 5.776033
## [1121] 6.335094 4.378130 4.432487 3.180794 4.316708 4.640936 4.231965 4.828965
## [1129] 4.161351 5.250992 4.668861 5.207827 4.502281 4.184499 6.547442 6.450597
## [1137] 6.929137 4.920881 1.673875 4.217173 7.642901 3.024936 5.689940 5.508593
## [1145] 5.019567 5.716018 5.310535 6.195167 3.562468 4.995252 5.197009 4.557339
## [1153] 6.406527 5.050718 4.955137 4.871246 4.122460 3.472096 5.971554 6.526812
## [1161] 4.986754 6.321406 4.525838 5.627932 5.849550 5.350274 5.445254 5.221287
## [1169] 7.100285 3.286803 4.657501 6.083131 5.253419 5.542166 4.053081 4.084041
## [1177] 3.091218 3.281355 3.733077 4.485508 5.098462 4.952044 4.037701 4.639391
## [1185] 6.933928 5.239953 3.755901 4.733529 4.627484 3.795425 6.403245 3.072531
## [1193] 3.926446 6.140247 6.445722 5.068567 6.787640 6.571416 3.735852 4.661723
## [1201] 7.145524 4.302691 3.113145 6.146446 5.935635 3.969423 7.065169 6.243483
## [1209] 4.805434 4.852355 6.055369 5.726545 5.446327 3.884600 4.960284 3.613891
## [1217] 4.188948 3.901620 6.098098 5.430886 5.049162 5.235527 5.395489 4.149102
## [1225] 5.435655 4.874495 4.165214 4.939968 6.165786 4.805585 4.750332 5.481908
## [1233] 4.283980 4.820722 3.521029 6.268953 4.338285 5.754395 3.175249 6.372688
## [1241] 5.145231 5.629729 4.744119 3.989361 5.696514 4.449336 5.469666 4.500029
## [1249] 4.781440 4.116216 6.227646 3.747991 5.555428 4.360185 5.702516 3.317257
## [1257] 4.652272 6.190231 4.318787 4.911122 4.500178 5.477965 7.101828 5.399854
## [1265] 4.527742 4.141584 5.786469 5.073343 5.380171 5.460990 4.237904 5.838579
## [1273] 5.767182 5.101867 5.179235 4.868254 4.723921 4.166364 5.848294 6.641540
## [1281] 6.193746 4.191283 5.170987 4.227422 5.413199 5.022471 3.961022 4.789117
## [1289] 5.953070 5.109381 3.718891 5.116815 6.355358 6.498157 6.848109 1.546995
## [1297] 4.670046 5.255865 4.963337 6.404376 5.880076 6.334156 2.934643 4.427761
## [1305] 2.569496 3.851001 6.005489 4.622725 5.153198 5.007254 4.571713 4.252090
## [1313] 4.822284 6.647609 3.224387 6.900685 5.811572 4.765174 4.872911 5.447395
## [1321] 3.856444 4.382207 5.135307 6.424344 4.571425 4.951097 1.949377 4.339951
## [1329] 5.121556 4.273784 4.982159 5.980272 6.037053 6.501979 3.224639 5.781310
## [1337] 4.857483 4.375650 4.296643 5.440253 3.689810 6.092514 6.572821 1.583407
## [1345] 5.678885 6.180589 5.222942 5.959400 5.829647 6.985646 3.322422 3.353367
## [1353] 4.716436 5.873993 5.979667 5.669592 2.846149 4.361673 5.094586 6.814650
## [1361] 4.201989 4.786592 5.953074 5.614907 5.914041 5.395364 4.941136 5.587461
## [1369] 6.175240 4.022881 5.117572 4.675343 4.315589 5.752436 4.995304 5.160190
## [1377] 5.560605 5.614779 4.542819 6.395876 4.641783 6.735421 5.396873 6.225328
## [1385] 5.257758 4.523594 5.567969 5.363997 5.987469 6.527419 4.886766 3.868843
## [1393] 5.491953 4.020634 3.707679 5.817936 3.642869 5.030305 2.833656 6.312392
## [1401] 5.343309 3.852053 5.836559 4.490886 5.140765 4.907900 4.722845 4.613553
## [1409] 3.614855 5.730633 6.573431 4.319933 5.524488 4.420491 4.898571 6.962037
## [1417] 5.217102 7.730832 5.584008 5.209129 4.886399 5.325615 5.649406 4.503130
## [1425] 7.392441 3.283834 4.634805 5.693782 8.416395 5.258870 4.788070 4.878987
## [1433] 5.509340 5.076186 5.109236 5.166553 4.781188 5.725218 3.776798 6.065136
## [1441] 4.851651 4.715332 6.284784 2.991014 3.671043 5.296107 4.517632 3.773628
## [1449] 4.607153 5.633094 3.556070 5.774325 5.568273 3.971865 5.009330 4.348679
## [1457] 1.718110 4.862480 5.160770 5.274253 3.541949 4.850352 5.404366 4.944636
## [1465] 5.509712 3.441920 3.836928 4.949769 4.708047 4.274987 5.214041 5.045247
## [1473] 4.592940 4.512696 6.211963 5.451232 4.321560 3.685575 4.726142 4.625343
## [1481] 4.736627 3.961105 5.781677 4.662372 5.539800 4.871037 3.584865 5.177867
## [1489] 6.080195 5.235416 3.712326 5.374708 4.796198 6.244473 6.071323 5.626996
## [1497] 4.810301 5.221956 4.976695 3.929439 4.589432 4.668053 3.733596 5.876401
## [1505] 5.464379 5.893671 4.234912 6.051277 4.800380 5.456978 5.749694 3.185980
## [1513] 5.246847 4.549461 6.556771 4.723641 4.989719 4.355146 4.813328 2.906104
## [1521] 3.761223 4.378673 4.759515 6.113485 3.103658 6.081602 4.059661 3.623138
## [1529] 5.218518 5.076264 4.549194 3.532977 5.714730 6.859548 6.277054 5.936912
## [1537] 4.869324 5.177772 4.471169 4.766374 3.854323 4.427482 5.728717 3.268473
## [1545] 4.685197 5.102286 3.953589 4.605441 6.459221 5.213382 5.244610 3.666807
## [1553] 5.686287 4.966451 5.090168 5.574545 6.189089 3.962764 6.607096 6.304767
## [1561] 5.324791 4.935012 4.324728 4.427313 5.912696 5.141885 6.925613 6.164881
## [1569] 4.982302 5.979365 4.481124 6.167525 4.667973 5.408673 5.103847 4.271968
## [1577] 5.431204 5.774662 6.170635 5.559749 4.228801 6.546436 4.986472 5.724388
## [1585] 3.655587 6.270289 4.263612 5.613388 4.611256 7.270033 3.602240 5.169138
## [1593] 4.885667 5.092843 6.328024 5.419043 5.519998 4.318823 4.562529 4.796583
## [1601] 5.256705 4.797024 4.163567 4.017487 4.481467 5.658318 6.164860 6.406994
## [1609] 3.754494 6.069923 4.291729 3.685333 4.548682 3.410143 6.649635 5.932303
## [1617] 4.074000 4.843839 4.982430 5.186398 3.459199 6.239804 5.754185 6.252132
## [1625] 5.594759 4.663530 4.674849 4.556063 5.786100 4.550383 4.399790 4.173159
## [1633] 5.924339 4.997370 5.634987 4.213051 4.175201 5.168898 5.278406 4.337190
## [1641] 5.436873 4.730587 3.797871 4.673790 5.161637 5.280850 7.576844 5.595714
## [1649] 6.244421 4.160723 4.733965 5.178451 3.682777 4.277540 5.916812 4.576498
## [1657] 6.282963 5.158407 6.618201 6.768763 6.832220 5.686303 4.737069 6.155794
## [1665] 7.050111 5.858126 4.380855 6.055370 3.909052 7.380111 5.175749 5.953067
## [1673] 2.885720 3.952196 3.853358 4.878614 4.776789 5.500753 5.456195 6.200011
## [1681] 4.813327 3.715688 3.916583 6.035707 4.966495 4.831137 3.258794 5.816372
## [1689] 3.865640 5.851207 3.063197 3.249838 4.976997 4.404577 3.865465 5.509188
## [1697] 4.523203 5.034233 5.485327 4.407094 5.897504 4.307137 3.965792 4.160755
## [1705] 7.580279 5.144705 2.171580 5.443636 4.527218 5.239427 6.178259 6.892043
## [1713] 3.439130 3.715858 4.872318 5.050408 6.018117 5.366000 5.213094 6.545010
## [1721] 4.584484 5.124133 5.657542 3.229107 4.090536 6.228520 5.059041 6.602843
## [1729] 5.161531 4.555090 6.099239 5.084216 5.370482 5.708274 5.375044 5.708166
## [1737] 4.724907 3.484230 6.056423 5.839841 4.732382 5.317302 6.750653 5.893546
## [1745] 5.516734 5.807138 4.911125 5.613253 6.768862 4.775976 4.544081 4.459804
## [1753] 6.002852 4.346485 5.590999 4.864100 6.800945 5.344594 3.690204 7.515668
## [1761] 4.091796 6.156912 5.887527 5.668009 4.301514 4.246650 5.097309 4.394339
## [1769] 3.834604 4.628560 6.905977 4.415832 5.421867 3.839590 3.842190 4.206984
## [1777] 4.112140 6.174112 4.548663 5.481686 3.609849 6.270203 4.590148 3.972158
## [1785] 4.706049 3.785398 4.886631 5.253772 3.441782 3.431615 4.991986 3.907055
## [1793] 5.996339 4.682666 5.573816 4.041085 3.969490 6.550298 4.633344 5.154459
## [1801] 3.991215 5.771504 5.182356 5.511349 5.113566 5.002297 4.837981 7.436099
## [1809] 5.451705 4.611929 3.698333 5.679241 5.029769 5.012134 6.507386 4.083099
## [1817] 5.311253 4.179789 5.953600 6.926655 4.441568 4.783349 5.574035 5.453743
## [1825] 6.814524 7.007384 7.153273 4.203505 2.704472 5.407137 5.611847 4.721698
## [1833] 5.892763 5.201125 4.628829 5.333461 6.027023 4.303754 3.245212 5.120681
## [1841] 7.258130 6.305716 5.405045 5.704332 4.177333 3.783641 4.835419 4.290661
## [1849] 6.761853 5.395501 4.810767 5.060848 5.540566 3.943450 5.629866 5.302143
## [1857] 5.502967 5.113037 5.482352 5.196454 6.238008 5.142038 5.020066 6.849317
## [1865] 6.027163 5.171827 4.297430 4.942217 4.718466 4.307033 3.044474 5.607262
## [1873] 5.461158 5.744828 4.353863 4.866557 5.577129 4.910559 6.036559 4.223287
## [1881] 4.947218 4.603513 3.867680 5.224056 4.703762 4.380389 3.982961 5.951305
## [1889] 4.318964 4.404765 4.641165 5.806737 4.354029 4.791510 5.427468 4.879738
## [1897] 4.783250 4.705577 5.600225 6.144380 4.424556 4.864403 6.894665 6.284212
## [1905] 4.316100 4.393131 4.699319 4.528117 4.658821 5.159315 7.329044 5.843699
## [1913] 5.014052 3.555292 3.792944 5.178991 3.642819 4.240198 3.542704 5.437635
## [1921] 5.305127 5.416675 4.763639 4.852524 4.421648 5.411940 3.955791 4.909102
## [1929] 3.914480 6.044815 5.826155 6.135172 4.919523 6.208853 5.150220 4.824869
## [1937] 3.294356 4.797067 3.852631 5.440112 5.481053 5.453145 4.585202 4.425475
## [1945] 5.201150 5.855661 5.138373 5.335685 6.817723 5.539225 5.534345 5.658493
## [1953] 3.198706 5.839498 4.820067 5.566848 4.960192 6.484197 5.735998 6.798915
## [1961] 4.751126 3.540872 5.875590 3.812803 6.035606 6.394013 6.414667 6.053986
## [1969] 4.240126 5.442000 5.885363 4.670947 6.119709 5.234996 4.964760 5.818544
## [1977] 6.078499 6.701894 4.309923 4.202591 3.863487 5.703219 5.470032 4.712274
## [1985] 5.293571 5.333111 5.792112 4.269000 5.458602 5.844759 4.063225 4.600690
## [1993] 6.457566 5.969147 4.606232 4.624536 4.321078 4.775455 4.770366 5.408935
## [2001] 2.856953 5.287546 3.910964 4.323329 3.253272 4.815906 5.003535 5.723691
## [2009] 5.607654 3.765585 5.336097 5.804114 4.232504 5.794110 6.301418 5.729624
## [2017] 7.086991 5.235330 5.194775 3.693365 6.175451 4.979869 4.326703 5.850259
## [2025] 5.048873 4.666240 4.785263 4.757964 5.370114 4.539702 4.544157 4.081334
## [2033] 4.942839 5.215907 6.566671 7.254405 5.103799 4.778496 6.293649 4.791059
## [2041] 5.745642 5.687470 4.138366 4.475909 5.804356 4.948065 4.067732 3.662476
## [2049] 5.813411 4.602480 5.632767 4.685587 4.269281 4.110102 6.158506 4.714057
## [2057] 6.177403 4.160118 5.492884 4.875600 4.971408 2.708678 4.909726 4.065883
## [2065] 2.990460 3.254123 3.915141 4.999230 5.801513 4.026490 5.470651 3.205376
## [2073] 6.283850 3.639342 5.282510 5.098134 4.575361 3.663294 4.870651 6.220145
## [2081] 6.130940 5.075978 3.927960 3.659607 4.726685 4.639870 4.794532 4.993190
## [2089] 4.911821 3.336558 7.185620 3.032249 5.494950 5.729297 4.588649 6.075972
## [2097] 5.039920 3.258513 5.263341 5.523011 5.703526 6.539784 3.432143 4.681934
## [2105] 5.074355 2.431525 6.609345 4.720751 4.480208 5.746765 6.432846 5.622393
## [2113] 5.713529 6.877762 4.545239 5.771395 5.664785 5.447612 4.638119 2.820915
## [2121] 5.105268 5.430805 4.940874 5.234371 5.184199 5.329978 5.078751 4.804472
## [2129] 6.617897 4.295322 5.966946 3.716737 5.609141 6.411844 5.086806 5.403303
## [2137] 4.770662 6.308096 4.513384 5.601086 5.758374 5.232921 2.861452 3.975403
## [2145] 4.209816 4.035422 4.296164 5.207035 4.067600 4.553084 4.654736 4.534827
## [2153] 5.019162 4.683682 5.135046 4.474678 4.759734 5.482927 5.248181 4.920195
## [2161] 6.045287 4.191713 4.127107 4.911852 5.132585 3.384155 6.358354 6.502379
## [2169] 3.991849 5.689011 4.907828 3.802051 4.306020 5.814768 6.683380 5.972723
## [2177] 5.334805 6.964962 2.319935 6.325769 5.428439 5.583544 5.869316 3.568729
## [2185] 4.552052 5.839567 5.353731 4.616357 5.959496 6.061165 5.505312 4.602902
## [2193] 4.108937 5.575610 4.932094 5.752864 5.901463 3.821046 4.826927 4.531626
## [2201] 5.289870 7.228365 4.013297 4.734199 4.729636 5.076647 3.662195 5.482162
## [2209] 4.993447 6.337630 5.740417 5.457887 3.899709 4.530358 5.885265 5.350988
## [2217] 4.752271 5.177551 5.789478 4.302996 7.514872 6.690641 5.341132 5.578411
## [2225] 3.978524 4.997168 6.150293 5.606887 5.362569 5.989939 5.401965 4.511166
## [2233] 3.084485 6.535965 5.366948 5.648506 5.538705 2.347344 6.214600 4.226142
## [2241] 5.031378 4.218514 5.176184 4.796698 4.788620 4.092534 3.192767 6.581804
## [2249] 4.218616 6.117854 5.509549 5.744893 6.418275 4.218876 3.234979 4.920007
## [2257] 4.225199 3.945387 3.278968 5.486962 5.103839 4.732178 7.172082 3.943699
## [2265] 7.275025 5.021847 5.487347 3.931385 5.401490 3.691418 7.169025 5.330904
## [2273] 6.221266 3.786251 3.986522 4.073038 6.872865 4.030199 6.008177 4.751756
## [2281] 4.803380 4.881804 5.376471 5.172870 4.787148 5.543546 5.549320 6.294006
## [2289] 5.260978 4.539301 4.317290 5.422917 3.851467 6.385848 7.566502 5.288334
## [2297] 5.246921 5.248995 5.828556 3.818896 4.455076 4.440245 4.039143 5.572771
## [2305] 2.414193 4.710850 5.586280 4.581159 6.645298 5.426547 4.013626 5.746694
## [2313] 5.101316 4.223217 4.187870 5.632456 3.431279 4.522729 4.715576 4.967726
## [2321] 4.408043 5.032946 5.850389 4.345006 4.762896 6.154027 4.375730 4.486184
## [2329] 6.246484 6.476323 4.243892 4.761447 3.367192 5.883032 5.708796 5.659174
## [2337] 4.279142 5.872425 4.193811 5.360496 4.875355 4.769212 5.389089 6.036037
## [2345] 4.054664 4.552930 6.177323 3.711063 5.053246 4.851530 4.333890 3.597408
## [2353] 3.107680 4.548907 4.331003 3.193646 5.443162 3.775616 6.203307 3.736303
## [2361] 5.140270 5.244637 6.073027 5.835302 5.013127 5.338352 5.541691 8.422539
## [2369] 5.707990 5.426441 6.199368 6.059407 3.950233 5.593691 3.542760 3.402872
## [2377] 4.562905 5.096393 5.380652 4.720274 4.467989 4.807190 2.853326 2.346043
## [2385] 3.879148 5.889637 4.812428 5.296706 3.972275 5.759797 3.909927 6.864904
## [2393] 4.812545 4.653926 4.272110 4.127160 4.504111 5.025404 4.188554 3.336631
## [2401] 4.942871 6.304872 6.963075 6.747997 4.060617 4.032510 4.729587 4.398816
## [2409] 5.860490 5.476246 3.885265 5.491212 4.361587 4.264488 6.298190 5.624615
## [2417] 5.570793 4.690789 5.520711 4.845903 5.161192 5.984803 6.488468 6.319929
## [2425] 2.816334 6.422002 6.017899 5.887385 5.070126 4.896811 4.950217 5.351441
## [2433] 4.575039 5.241799 4.784607 6.002029 4.011641 3.415388 4.200798 5.615973
## [2441] 5.585667 4.114900 3.875365 4.975540 5.791710 5.561465 4.090854 4.070365
## [2449] 4.416641 4.765513 4.693321 3.854780 5.537237 5.055065 6.597993 5.675822
## [2457] 5.972485 4.267668 4.899247 6.613760 2.084650 5.836947 5.498751 3.986947
## [2465] 3.848009 5.271500 5.935558 4.526457 6.561049 4.716708 5.809396 3.858601
## [2473] 4.580284 4.110480 2.924743 5.300811 3.825336 5.520919 6.093780 4.314654
## [2481] 5.901801 3.779564 6.069412 5.862597 4.776914 5.192913 7.198734 3.235769
## [2489] 5.376509 6.611058 5.679603 5.294592 5.502737 6.008273 6.688989 6.609549
## [2497] 4.128330 6.389710 4.073182 6.961116 5.385197 3.457066 3.837549 4.649751
## [2505] 3.921589 5.397936 6.532398 4.309335 4.352732 3.417014 5.725776 4.029256
## [2513] 4.941893 5.620905 3.732818 4.595524 3.395069 6.276889 4.604997 7.150851
## [2521] 6.051602 6.647161 4.921375 4.325141 2.915452 3.833154 3.286042 4.002720
## [2529] 5.228127 5.277891 5.691124 4.240794 5.427373 2.994407 6.715039 5.102011
## [2537] 4.560157 4.423584 4.886926 6.295840 3.526982 3.815991 4.247536 3.505393
## [2545] 5.049915 5.643371 4.221808 4.311268 6.212958 5.105195 4.363672 5.171432
## [2553] 5.526360 5.473658 4.925909 4.223710 5.096980 4.786839 6.977899 7.058481
## [2561] 5.981798 4.627167 5.181712 4.282642 3.855724 4.251209 6.476478 5.565340
## [2569] 5.271910 3.622024 6.086468 5.936515 5.676232 4.426879 6.055261 5.416534
## [2577] 6.248872 4.246975 5.578235 5.613775 3.241353 2.620402 6.689104 4.729605
## [2585] 4.919087 4.842017 3.051240 5.135412 6.373453 4.759709 5.028685 3.692614
## [2593] 6.102157 5.749634 2.994533 4.346490 4.920012 5.637137 4.770993 4.813284
## [2601] 5.358836 5.753923 6.456806 4.873851 5.138692 5.461348 5.753354 5.386713
## [2609] 5.451525 4.296784 5.376523 3.193510 6.281848 3.930796 5.034381 5.789771
## [2617] 5.199073 3.662478 5.159524 4.693828 4.363259 4.662461 6.335134 3.592921
## [2625] 4.507572 4.448434 5.590876 6.020667 4.890512 5.392657 3.178624 4.567967
## [2633] 6.280660 4.851421 4.071044 4.627928 4.103282 5.808625 7.235694 5.928279
## [2641] 7.084578 5.021017 5.562832 5.699089 4.915010 5.069711 5.888481 5.580271
## [2649] 5.563353 4.606976 5.897828 6.681686 5.668661 4.309824 4.082467 5.727086
## [2657] 7.917377 4.149221 5.294375 4.461362 6.815607 5.651118 4.475163 5.218512
## [2665] 4.669437 6.105109 4.515181 4.963009 4.915076 7.476256 4.931529 5.193267
## [2673] 3.192681 3.862759 4.205379 4.600478 3.276006 3.998822 5.316294 5.847407
## [2681] 3.502062 5.535850 7.139147 6.311878 5.204056 7.691190 5.689992 3.575202
## [2689] 6.719806 5.275471 6.039093 5.418337 5.640960 4.117723 7.232236 6.160749
## [2697] 5.665949 4.693528 3.199368 6.553459 5.474543 3.609556 4.567170 4.782648
## [2705] 3.087010 4.660085 4.321911 4.468651 6.200291 3.887569 5.385280 2.350752
## [2713] 3.998776 4.784788 6.994859 5.836992 2.989226 5.376470 5.778517 7.310316
## [2721] 4.970032 5.358335 3.970217 4.562500 5.278748 4.628014 4.507338 4.350029
## [2729] 5.600371 6.478924 4.955176 5.160949 5.728640 5.417309 4.582864 6.981593
## [2737] 6.011703 4.799180 4.529480 5.046012 8.395546 4.777992 4.358118 3.970524
## [2745] 5.618195 4.905933 6.027756 2.739984 4.790678 6.159397 4.065028 5.670249
## [2753] 3.537875 7.814278 3.642040 6.217883 5.779485 4.394151 5.358888 3.401031
## [2761] 3.673736 4.663927 5.285995 4.837037 5.147076 5.897919 3.952401 5.567258
## [2769] 5.459973 4.665903 5.267061 4.894850 4.915597 6.391577 5.104033 4.113176
## [2777] 4.654508 6.568058 4.255892 5.283451 4.107926 4.387514 3.891672 4.644160
## [2785] 4.632985 5.229047 4.808498 5.121595 5.657930 4.830928 4.586616 4.436630
## [2793] 4.928916 5.361014 4.696031 4.668422 4.860020 5.232674 6.673652 5.273904
## [2801] 3.844433 4.554070 7.078580 4.452707 5.090224 5.323989 5.161224 5.145636
## [2809] 4.124776 5.713432 3.267090 5.108230 6.174011 6.284103 6.393005 5.153301
## [2817] 5.806296 6.938072 6.571299 5.939073 5.805556 4.202596 4.484077 3.617157
## [2825] 5.033497 3.669389 7.258622 6.256349 4.441768 5.641102 5.308464 6.089049
## [2833] 3.978789 4.680677 4.490969 3.893430 4.695030 7.036358 5.631312 4.647769
## [2841] 5.732393 4.023882 4.419617 4.472153 4.196058 3.993283 4.300373 4.191823
## [2849] 6.172031 5.175263 5.805488 6.055669 4.446954 3.150114 4.626112 3.919464
## [2857] 6.085415 5.292918 2.486476 4.796569 3.944579 6.197327 5.247762 5.134873
## [2865] 7.482950 7.159223 3.823436 3.592644 5.418677 5.837839 4.207223 5.593586
## [2873] 3.616554 3.235697 5.077621 5.257805 2.732236 7.324854 5.901354 5.523823
## [2881] 3.921650 5.489655 4.248042 5.766234 5.544380 5.816678 4.836341 5.591840
## [2889] 5.427271 3.745801 4.370775 6.107444 4.575829 4.732539 4.659992 4.188507
## [2897] 6.695983 2.673153 3.832723 4.639280 4.659283 5.674174 4.993286 2.551978
## [2905] 6.119679 5.865039 4.483234 4.989118 3.787075 5.359563 5.233735 6.379045
## [2913] 4.021972 5.423606 3.559671 5.868219 5.880939 5.221001 4.783092 5.540822
## [2921] 4.417576 6.040813 6.691789 2.840950 5.072697 3.015349 5.199716 4.156438
## [2929] 6.005299 4.692334 3.456796 3.583987 4.688442 5.327086 6.224345 5.896258
## [2937] 6.797414 4.679397 4.485219 4.471122 5.085757 4.373440 7.559611 4.545445
## [2945] 5.373534 2.271634 3.537495 4.651754 4.960587 5.313026 6.176266 5.855513
## [2953] 4.734943 5.639003 5.322213 5.731680 6.596226 7.300886 4.781631 3.880803
## [2961] 6.157356 4.160873 6.696385 4.969964 4.652880 5.858700 4.785559 5.542294
## [2969] 4.590593 7.821374 5.550104 5.821807 4.408574 6.400485 4.118401 3.305099
## [2977] 4.240428 5.481037 4.671343 5.402722 4.760328 3.157138 5.775194 4.691870
## [2985] 3.956466 4.745587 5.264313 5.051718 4.481696 4.822173 5.058918 5.127337
## [2993] 3.934008 5.947112 7.478416 5.514783 6.323138 5.531065 4.515560 5.159071
## [3001] 4.569668 3.911313 4.731145 4.808363 2.639183 4.220650 5.608290 4.974916
## [3009] 6.097049 4.858219 5.966014 6.067504 4.268139 3.282639 6.245879 4.126288
## [3017] 4.648463 4.861760 4.852400 4.813712 3.500335 3.488840 3.810069 5.891845
## [3025] 6.074080 5.099207 5.916960 5.035188 6.198730 5.443634 4.632667 4.875143
## [3033] 6.032939 4.982172 2.581143 5.636597 4.833353 5.196168 6.047335 4.045240
## [3041] 4.083658 3.232368 4.292905 5.204946 4.839346 5.097190 4.970205 4.819674
## [3049] 4.821903 5.843535 3.506970 5.419499 6.638971 4.596198 3.667736 5.439288
## [3057] 5.047593 5.376329 4.534013 4.740659 3.421017 4.152630 5.271012 3.562694
## [3065] 5.532077 4.872565 5.252211 3.699579 3.272927 6.208952 5.461704 4.996692
## [3073] 6.088990 3.919652 4.280991 4.023000 6.629646 4.046580 4.878813 5.855694
## [3081] 5.115598 3.698513 4.256223 4.567501 5.820081 6.241735 4.839392 5.998496
## [3089] 4.238220 6.164699 6.117308 4.265998 4.113738 4.582549 4.817999 4.859792
## [3097] 3.732142 6.430979 3.876326 4.530197 5.668842 4.106902 3.405701 4.804617
## [3105] 4.527344 6.376084 4.284330 5.017381 5.818901 5.906618 7.383848 4.568561
## [3113] 6.522782 5.351310 4.265119 6.507180 5.956486 5.699336 5.291697 3.737229
## [3121] 4.826803 5.230985 5.328761 5.897126 5.126308 6.246760 4.557910 5.730250
## [3129] 4.051805 4.769112 6.189524 5.583419 4.173395 6.611873 4.549744 5.524566
## [3137] 4.130988 5.044326 5.303242 3.679827 4.725227 5.219908 6.142954 5.494768
## [3145] 5.008121 5.576724 3.768118 5.103537 6.276076 4.023519 3.901431 5.619909
## [3153] 6.162699 6.780736 6.148727 5.340945 4.705420 4.503211 4.449671 3.573798
## [3161] 4.340436 6.013336 3.998504 5.267712 4.919882 5.333064 6.176795 4.993308
## [3169] 4.112561 4.866327 5.235600 5.065536 5.370511 5.490340 6.526646 7.106650
## [3177] 6.418767 3.991135 5.572139 3.717191 4.714288 5.340653 2.280636 6.309015
## [3185] 4.044303 6.615189 7.123066 5.916773 5.855171 6.453704 2.950242 5.840210
## [3193] 5.918247 6.075942 4.026005 4.930311 4.845805 6.453570 5.090817 4.857970
## [3201] 6.198869 5.824420 3.937680 4.774534 4.379522 5.374563 5.504240 6.319418
## [3209] 5.583664 4.669140 4.779784 4.244865 4.878366 5.410294 3.815759 4.923507
## [3217] 4.774660 3.903083 5.720246 5.923197 6.526964 5.134643 5.067517 5.558642
## [3225] 3.042453 4.560983 6.144295 6.033228 5.369439 5.447815 5.442260 4.934626
## [3233] 5.216783 4.465448 6.353459 5.387133 3.073373 5.049970 5.690725 5.611850
## [3241] 3.175917 4.280106 5.651677 5.495822 3.912386 5.477222 5.128482 5.588517
## [3249] 4.466668 4.603382 4.108048 4.685573 3.600682 5.631337 5.041013 4.281127
## [3257] 3.600976 2.608058 5.106191 4.073360 3.113884 6.128567 2.595026 5.761909
## [3265] 6.209575 4.837999 3.562098 5.227367 5.436931 3.752971 5.279064 5.269857
## [3273] 6.111099 5.186169 3.658419 3.687411 4.744173 5.590747 3.498428 5.963376
## [3281] 6.785316 3.640809 5.183843 6.167485 3.500672 4.992919 4.648464 5.121731
## [3289] 4.862877 5.676046 5.705099 4.125282 4.801849 4.676285 4.565576 3.311362
## [3297] 5.865226 3.080391 6.808861 5.952087 4.594177 4.633673 3.563965 4.543254
## [3305] 6.016687 6.448892 4.365392 5.328860 4.245550 4.796376 4.743146 3.256126
## [3313] 4.310676 4.991875 6.945945 3.851733 4.934954 6.455764 4.635585 5.224083
## [3321] 6.388182 4.776835 5.864954 6.258935 3.575999 3.232274 4.058611 4.411695
## [3329] 5.688645 5.425043 4.034240 5.451436 3.405730 6.161395 3.124627 4.709667
## [3337] 6.331967 5.999928 2.029127 4.082364 4.964774 5.020947 5.160015 3.115771
## [3345] 4.395508 3.990202 4.378694 5.933133 6.347245 3.330390 5.747163 5.164630
## [3353] 6.825900 6.047707 5.120387 5.206991 5.469390 5.652441 5.270433 4.496878
## [3361] 5.541630 5.080287 4.952831 3.930991 4.906675 6.436005 3.987319 5.199058
## [3369] 7.919305 5.518444 2.702279 5.067577 4.888008 3.047815 4.928557 5.035781
## [3377] 5.055858 4.922573 4.542177 4.605456 6.601309 3.924796 5.356538 5.027768
## [3385] 4.504901 6.168858 5.054146 5.428240 5.250526 5.294016 2.666753 5.365460
## [3393] 3.946922 5.510804 6.700674 4.923101 6.035169 3.600705 5.509670 3.198356
## [3401] 3.992742 4.977667 4.497800 4.093808 5.729378 5.450812 2.694773 4.091088
## [3409] 4.649934 2.427294 5.862415 3.961999 6.981993 5.783082 4.375648 3.558668
## [3417] 5.106253 4.385417 5.487005 6.623817 5.888467 4.579876 3.309881 5.252502
## [3425] 4.558670 3.337666 3.703830 5.299872 6.264687 4.073821 6.206135 5.240743
## [3433] 3.961693 3.680443 5.000735 4.304807 5.940945 4.461484 2.976465 3.105841
## [3441] 5.992146 4.476756 5.079306 5.340470 4.603097 3.323078 4.342291 4.034665
## [3449] 4.325255 4.924522 5.138303 5.657490 4.233175 5.839545 5.353595 4.615252
## [3457] 1.582571 7.410031 3.717390 3.993889 4.507039 5.460328 5.067984 4.940689
## [3465] 4.730340 4.947525 6.932220 5.499719 4.905292 5.400111 4.307495 3.203983
## [3473] 5.355201 4.104967 6.082852 5.610263 6.141310 4.658196 6.132653 5.107110
## [3481] 4.417225 5.271761 4.716963 5.494804 5.015452 4.673045 2.872408 4.247573
## [3489] 4.189953 4.446799 5.534943 4.119799 4.197854 6.737604 6.342280 6.652964
## [3497] 5.565437 4.698025 4.190719 4.766686 4.243946 4.783899 4.420335 6.211397
## [3505] 4.240082 3.028464 4.253066 5.788085 5.443155 4.716813 4.829644 5.142413
## [3513] 5.367712 4.639422 5.209016 3.903070 4.709025 3.741805 5.435347 5.698358
## [3521] 4.220105 6.261077 5.829396 5.792567 5.171600 4.613322 4.395825 6.259814
## [3529] 5.409399 5.120574 6.030912 5.247736 4.646112 4.327488 5.456982 3.905351
## [3537] 6.771985 5.506034 5.016671 4.848779 5.199056 3.602752 5.173653 3.638428
## [3545] 6.417978 5.709572 2.401246 4.559274 4.181442 4.260969 3.103133 5.606530
## [3553] 5.303648 4.301965 6.044167 5.538598 6.313321 5.049546 4.637218 5.234084
## [3561] 6.097560 6.958858 4.637011 4.282951 4.881393 3.719720 6.231936 4.560388
## [3569] 5.655679 5.830155 4.702925 5.416628 3.002022 4.627175 5.423691 4.800432
## [3577] 7.115048 4.856196 4.593608 4.643607 4.027612 6.151358 4.176711 5.664087
## [3585] 5.232912 6.063980 5.623315 5.133034 4.491540 3.948465 2.969440 5.487607
## [3593] 6.588586 7.060602 3.518851 6.211715 4.962335 5.357019 3.827298 5.135882
## [3601] 6.695114 4.944396 2.982308 5.742936 4.414325 4.314916 5.205502 4.032233
## [3609] 3.809134 5.409928 5.526284 6.863660 4.975221 4.548629 4.410156 5.733826
## [3617] 4.276760 2.965064 4.609949 5.743551 5.019772 5.200355 3.928813 4.313386
## [3625] 4.815260 3.381280 4.369579 2.167420 4.319457 4.120904 5.476951 4.719999
## [3633] 5.088106 6.382142 7.024760 4.904087 3.777033 4.798891 4.000243 3.747327
## [3641] 4.341372 4.343681 4.085896 5.445841 5.780189 5.577872 4.792394 5.199498
## [3649] 4.948598 3.051072 4.607339 4.667069 4.573295 4.313115 5.663238 4.152328
## [3657] 5.697185 4.437319 6.101989 2.730683 5.253322 5.138775 5.688359 5.320090
## [3665] 5.086153 4.731052 3.502611 4.805661 4.384113 6.123239 4.750402 4.440850
## [3673] 3.658996 4.582999 4.175495 2.698287 4.189578 3.649270 4.688870 6.347629
## [3681] 4.651445 4.033908 6.985060 6.093005 4.886747 3.092046 5.393601 2.903677
## [3689] 6.656927 6.500731 6.911954 6.046573 3.800622 6.397175 4.872688 4.928010
## [3697] 2.844622 5.213517 4.788785 5.829044 5.851747 4.309585 6.485743 5.874816
## [3705] 5.634143 5.338645 5.413254 5.248257 4.349985 4.575639 6.457998 5.188589
## [3713] 6.938158 4.569776 3.454788 4.877310 2.865235 6.358171 4.813777 4.664977
## [3721] 4.726634 5.033414 4.610609 4.095916 4.618697 5.800699 6.004356 2.637006
## [3729] 5.975876 5.247069 4.258384 3.972574 5.250313 5.868273 5.670043 4.643113
## [3737] 6.403226 3.961716 4.568072 5.890700 5.561969 6.825981 5.837297 4.590336
## [3745] 3.757368 6.247414 3.664832 4.393020 3.849736 6.473531 6.284682 5.144885
## [3753] 4.826855 4.654041 4.066823 5.205908 5.918570 5.095702 6.941237 6.091729
## [3761] 7.014437 3.380939 5.523836 3.864039 3.592285 3.855767 4.707318 4.556995
## [3769] 4.065448 5.584507 4.139859 5.108855 5.498761 5.904384 7.399488 5.724752
## [3777] 4.206775 4.091966 3.359361 5.616778 6.153870 6.737551 3.809446 5.804633
## [3785] 6.077091 4.948885 5.477837 3.721290 5.041461 5.399205 4.083712 5.376526
## [3793] 4.409373 4.653044 6.377271 4.182945 4.520592 4.385962 6.460257 5.730040
## [3801] 5.198461 4.262630 4.010652 4.211413 5.347420 4.115932 5.573312 6.378869
## [3809] 5.767610 4.004284 5.247845 5.684971 2.693905 4.206788 4.383710 4.443161
## [3817] 6.119283 3.953743 5.042117 5.101972 5.568597 4.659839 3.864893 2.354001
## [3825] 5.377092 3.902242 5.174348 4.340186 4.313195 3.911684 6.161968 4.761389
## [3833] 4.853286 4.173145 4.163242 4.005759 4.059820 5.588429 5.043340 3.020304
## [3841] 6.766575 4.883219 4.213392 3.581539 6.574903 4.307641 6.149548 5.762129
## [3849] 6.299723 3.614629 5.345500 4.880397 4.018055 3.814229 4.830105 6.802653
## [3857] 5.304394 4.870138 5.329695 4.596639 4.554811 5.468696 4.339963 5.025054
## [3865] 5.375366 5.963122 6.910591 4.609842 5.172289 5.297008 4.502015 3.429356
## [3873] 6.812857 4.894422 6.030464 5.800303 5.471683 3.400156 5.643159 4.445764
## [3881] 4.731248 3.701072 5.080243 5.252579 6.201066 5.073317 3.958635 4.984681
## [3889] 5.087761 5.289676 5.238171 5.315789 5.671688 4.758472 6.736998 4.608797
## [3897] 5.797132 6.505176 6.407090 5.177038 5.116181 5.825181 4.269697 5.690440
## [3905] 4.444980 5.384844 4.869639 3.834905 3.659750 5.156879 5.374207 5.853073
## [3913] 4.603377 6.768875 4.584942 3.339558 4.657160 3.673501 4.959255 5.003765
## [3921] 6.692851 6.093904 4.221193 6.189045 6.430533 3.606115 4.118075 4.701809
## [3929] 4.528764 4.902983 5.165166 5.023452 5.015785 4.806537 4.278582 6.421957
## [3937] 5.627902 5.897527 7.772318 5.379859 5.002393 5.165911 5.212146 4.104776
## [3945] 5.844110 4.222238 4.990905 5.616928 4.192052 4.186372 4.325415 4.674480
## [3953] 4.147978 4.597340 3.281170 5.822366 5.047220 3.770972 4.264054 5.826567
## [3961] 3.817267 5.531407 5.128335 6.135015 5.404291 5.671655 5.727398 3.236860
## [3969] 5.050253 3.896715 5.425958 5.175077 4.363065 5.439666 5.229579 3.514234
## [3977] 4.650370 5.259883 5.660338 5.609729 6.005185 5.406256 4.737874 5.700129
## [3985] 4.102192 6.269766 6.501364 5.541345 4.375329 6.333477 4.833793 5.361182
## [3993] 5.138630 5.377297 5.150024 3.478531 5.158994 5.545699 6.306673 6.066302
## [4001] 6.379358 3.257368 4.451811 3.729827 3.985451 4.679753 4.122115 3.820494
## [4009] 6.230879 4.843472 3.669659 4.364962 2.595082 3.266839 3.077284 5.235215
## [4017] 5.307754 4.377129 4.569804 4.841149 4.642604 4.752097 6.263225 6.213010
## [4025] 5.619252 5.716125 4.243662 4.423070 4.395519 4.285097 6.775857 3.935867
## [4033] 5.659864 4.860760 4.562183 4.768962 4.184287 4.938983 3.826407 5.421090
## [4041] 5.282008 3.699143 3.786073 5.139846 4.261109 6.469713 2.942317 5.846721
## [4049] 4.969907 4.955385 6.465062 2.038742 5.499110 2.783190 5.830858 4.586034
## [4057] 5.484408 5.142727 5.126158 4.997687 4.161273 4.345716 2.907882 4.812876
## [4065] 5.302008 4.092529 4.164453 5.117849 4.980436 3.700167 5.646488 3.961199
## [4073] 5.877450 5.054459 5.434889 6.029950 5.208331 3.702010 6.236548 5.123599
## [4081] 6.634074 5.251842 4.273538 6.666576 4.523258 5.228295 5.257631 7.410093
## [4089] 4.995022 3.114163 5.294373 4.273363 4.963884 4.344902 6.018658 5.860759
## [4097] 5.230008 5.734087 4.363722 4.561730 5.680171 5.752079 4.581174 5.889556
## [4105] 3.895617 5.686883 4.000084 4.360848 4.827214 7.027707 5.540950 5.034708
## [4113] 3.888752 4.948468 6.371126 6.082196 6.579879 4.565528 4.984409 5.610656
## [4121] 5.364519 5.932371 4.986173 5.775288 3.985566 3.891355 5.462283 6.644690
## [4129] 4.761788 6.486361 6.300975 3.293468 6.235372 4.347603 3.972494 3.561134
## [4137] 5.389262 5.404149 5.737260 3.862254 2.859494 2.741926 3.870206 4.527989
## [4145] 5.910729 4.995977 5.575143 4.506406 5.948152 5.016821 4.837118 4.727162
## [4153] 4.427538 5.778638 6.388839 5.919666 5.116721 6.039564 4.248418 3.988828
## [4161] 5.133821 5.909725 4.236536 6.598934 6.297383 4.951212 6.410273 4.711293
## [4169] 5.479459 2.668254 4.260710 6.174359 4.570555 2.874776 5.956085 6.538534
## [4177] 4.464721 6.668505 5.487982 3.695869 6.710256 4.339892 3.488527 3.754736
## [4185] 4.466357 5.634501 6.446432 5.772603 5.703225 6.586131 5.217787 5.615738
## [4193] 6.129872 6.372414 5.537297 5.131126 5.592048 5.735349 5.712780 7.852007
## [4201] 6.561703 5.207057 3.626468 4.689688 5.932969 6.744212 4.217839 5.578482
## [4209] 5.168236 4.198404 5.686356 4.985863 5.194715 5.308106 6.027776 4.623909
## [4217] 6.052768 4.987421 4.276905 6.190515 5.549959 5.656649 4.292586 5.130382
## [4225] 5.742301 4.935731 4.859374 6.438686 5.047122 3.873193 5.517757 4.053774
## [4233] 5.820406 5.033940 4.850902 4.540995 4.142696 3.987953 2.301225 4.835139
## [4241] 4.274543 3.597645 5.594803 4.676882 4.188664 5.930957 5.410764 3.632006
## [4249] 6.474819 4.286944 6.344075 4.467472 5.101558 5.260794 3.179497 4.142776
## [4257] 6.643391 6.250717 5.947984 4.398749 4.360493 4.013158 3.370404 4.716828
## [4265] 6.266487 4.999441 6.628065 5.812262 5.031310 5.313009 3.664303 4.518402
## [4273] 4.157994 4.725653 6.188299 4.513788 6.005233 4.061203 6.009280 3.643145
## [4281] 3.822628 4.302939 6.045149 3.841691 5.798246 4.481474 4.823503 5.422117
## [4289] 4.468627 5.809620 4.441841 5.308500 5.674714 4.945017 5.225449 5.025296
## [4297] 5.460064 5.549998 3.384020 5.607018 6.592464 4.484746 5.942783 3.518015
## [4305] 5.517347 7.260315 4.547363 5.541516 5.638031 3.960052 5.633141 6.602290
## [4313] 5.352323 3.986535 4.553836 6.746911 6.410749 4.966499 2.578348 6.481818
## [4321] 5.938419 4.933415 6.675741 5.956880 3.150900 5.983393 3.570238 3.864907
## [4329] 5.637217 6.441325 6.458718 6.459438 5.528038 4.214981 5.503170 3.863314
## [4337] 5.483556 4.365543 5.159606 4.085883 5.971980 3.804005 4.523440 4.573361
## [4345] 3.848129 3.823848 5.293402 6.533177 5.638931 4.198955 5.556394 4.629585
## [4353] 3.211861 4.546412 6.388135 5.446238 4.929620 4.985349 4.365935 5.623456
## [4361] 3.454308 6.246047 5.418525 5.101999 4.212104 5.083499 5.343273 4.711026
## [4369] 4.506536 6.621816 5.141026 3.270665 5.961816 5.585528 4.806624 5.296263
## [4377] 4.280582 5.851576 3.138897 5.474902 3.597677 4.310035 5.650180 4.866760
## [4385] 6.471204 6.614577 4.910046 4.320987 5.461921 5.076764 6.369327 4.822223
## [4393] 5.490509 3.688745 4.498146 6.969164 5.385498 4.850998 5.738716 5.017483
## [4401] 5.003670 3.580749 4.925779 3.890934 5.024438 5.671684 6.666194 3.429131
## [4409] 5.115855 4.704648 5.474283 4.833642 4.211504 5.690435 4.616975 4.645621
## [4417] 3.974759 5.819357 5.478766 5.500906 6.927637 5.040537 5.001661 4.821004
## [4425] 4.736394 5.272273 4.762983 4.575489 6.233476 6.207155 4.132621 6.104811
## [4433] 3.734414 8.129032 5.841562 3.666902 4.050554 6.370686 5.128188 5.875703
## [4441] 5.750171 3.467328 7.682388 5.421318 4.112562 4.156841 3.017985 4.287508
## [4449] 4.428950 4.920506 5.765876 5.283082 4.632552 5.371822 3.650324 7.981384
## [4457] 6.195951 6.074374 4.875182 4.861802 5.152300 3.052142 4.609939 5.015969
## [4465] 4.259254 6.139580 5.775474 4.300662 5.436426 6.259523 5.600555 3.567108
## [4473] 4.682601 6.251126 5.287888 3.213134 5.387316 3.648024 6.438871 4.023358
## [4481] 4.547831 5.590747 3.823162 5.657404 3.618676 3.353603 3.681953 3.956615
## [4489] 4.573361 4.440037 5.469818 5.558814 5.328263 3.911928 3.768688 6.182857
## [4497] 3.683240 4.518530 3.976118 4.951409 4.435986 5.420616 6.139241 5.773164
## [4505] 5.028981 4.708035 4.039689 3.835985 3.708958 4.991576 5.743577 5.980954
## [4513] 4.614506 4.475934 5.767306 4.928760 4.539487 5.186991 5.487844 5.670757
## [4521] 5.939342 3.530577 5.308843 4.662296 6.056533 5.741385 5.987581 6.262632
## [4529] 5.634187 4.996165 4.501684 4.065343 6.212099 5.734042 5.608435 4.019305
## [4537] 4.678219 4.456175 4.254559 4.792290 3.824512 5.053750 5.881420 6.236603
## [4545] 5.446188 4.023855 4.734026 5.250814 6.335546 4.844201 4.146252 5.701456
## [4553] 4.877903 4.019636 5.364206 3.926020 2.662902 4.372118 4.115349 4.619452
## [4561] 5.635169 5.476496 6.200137 5.795554 4.989613 2.892174 5.852960 5.418666
## [4569] 4.540374 4.705877 4.446501 4.278644 5.779000 4.698292 4.541370 5.388808
## [4577] 4.620180 4.506585 3.890654 6.090243 5.990963 3.546540 3.759364 5.090255
## [4585] 5.279733 5.176947 3.261068 4.282743 5.082464 6.039213 5.174365 3.259810
## [4593] 4.368284 4.849530 4.781201 5.341027 4.009541 4.076937 5.393565 3.611329
## [4601] 5.456107 2.844781 5.148860 6.503913 4.408117 5.314256 5.854347 7.166367
## [4609] 4.952482 3.836688 5.042770 4.792163 4.109901 4.609492 5.383981 4.541316
## [4617] 6.361753 5.307218 4.877663 3.402394 5.642290 5.673293 4.920479 6.294978
## [4625] 7.194123 3.112863 5.149623 4.930012 4.529882 5.707388 4.376224 4.548173
## [4633] 4.818690 5.209956 4.795548 4.550355 3.519556 6.092963 6.628292 5.087494
## [4641] 5.498628 4.712355 5.599471 5.297283 4.139499 4.430130 5.809170 4.452728
## [4649] 5.092971 5.054933 5.177354 6.256618 5.095829 2.783067 5.685278 3.364403
## [4657] 5.725681 4.836569 5.379083 3.707818 4.578307 4.893034 5.554827 4.071408
## [4665] 5.460691 5.229551 1.792979 6.239017 4.925340 5.036760 6.352174 5.444089
## [4673] 5.669195 2.631755 5.729530 3.657082 2.355980 6.616833 4.820895 6.341315
## [4681] 4.192934 3.296355 5.528368 3.898464 5.061621 3.831741 3.960465 6.469284
## [4689] 5.630111 5.442044 4.807773 3.257848 5.156590 4.480806 6.039134 4.915926
## [4697] 4.982581 5.262478 4.401803 5.472687 5.055474 6.986332 5.980562 5.914966
## [4705] 3.883543 6.644093 6.087162 4.889382 4.270632 6.528000 5.708135 6.266058
## [4713] 4.201550 5.738903 4.690816 4.851550 5.790515 4.439938 3.284192 7.190369
## [4721] 5.610920 6.318647 6.926527 4.659906 4.605068 4.086268 3.502650 4.426393
## [4729] 5.394493 5.723537 4.649826 5.181434 5.763328 5.361188 5.391232 5.504450
## [4737] 5.232276 5.791146 5.909015 3.469825 4.094260 5.675827 6.221739 4.648812
## [4745] 5.304855 5.539570 4.631727 3.588718 4.026786 5.384252 6.662656 4.831458
## [4753] 4.592774 5.555354 5.370639 4.989636 4.450395 5.007613 5.191926 5.035269
## [4761] 5.754037 5.124245 4.296190 4.685855 3.606658 4.917664 5.062756 6.260318
## [4769] 4.306947 4.066853 7.223981 5.134433 5.460838 8.027930 4.448704 4.483006
## [4777] 3.618379 4.316094 5.314445 5.247125 5.313037 5.673208 4.842430 4.719222
## [4785] 6.499477 2.830057 6.393934 5.361990 5.575331 4.604412 3.313868 5.645815
## [4793] 3.714758 3.990184 6.687119 4.025567 5.161310 4.987431 3.669002 3.891437
## [4801] 4.642676 4.684879 6.342572 4.768234 5.077240 5.034997 5.134603 4.811995
## [4809] 3.141964 4.466669 5.113738 5.177173 4.412688 6.206302 5.578832 3.533421
## [4817] 5.290383 6.818938 6.335233 5.027862 5.247487 6.634905 4.996463 4.669967
## [4825] 5.713798 5.027502 3.461380 4.405731 4.699795 5.536266 6.064465 5.439450
## [4833] 5.136666 7.049842 3.705695 3.217260 5.390964 5.252765 6.171043 4.996639
## [4841] 4.728292 4.368734 6.713192 4.072621 5.478625 4.868312 4.095606 4.854153
## [4849] 6.328419 4.801725 5.951238 4.460042 3.453010 4.061332 4.766854 5.314788
## [4857] 2.685920 4.607836 7.214997 5.287985 4.584038 4.986549 5.768792 4.240613
## [4865] 4.255367 5.380809 5.810378 4.187752 4.749056 3.763491 3.591996 6.638652
## [4873] 4.575695 4.381141 5.323160 4.584984 4.500710 4.180531 7.167756 5.307028
## [4881] 4.482704 5.989129 5.667122 4.612370 3.758604 4.855280 6.681426 6.779251
## [4889] 4.846473 4.626074 3.189162 4.822154 4.559823 4.460782 4.883888 4.528288
## [4897] 5.121581 4.700750 5.759793 5.064056 5.919524 5.593548 4.876699 5.342243
## [4905] 6.469431 6.772286 4.732853 3.985082 5.898667 4.496155 5.724239 4.740487
## [4913] 4.007506 2.772098 3.921081 7.742578 5.880782 3.575507 5.565767 3.424319
## [4921] 3.653034 4.001023 5.833079 5.132790 3.591350 5.447892 4.793502 7.422553
## [4929] 5.738602 5.419068 5.426589 5.900225 3.913506 3.982698 3.846296 5.138988
## [4937] 4.638226 4.221197 5.108547 3.841443 5.451430 4.528371 3.804216 5.395516
## [4945] 5.840286 6.167985 4.192170 4.086664 4.783035 5.490322 5.145868 5.050126
## [4953] 4.069091 4.490060 3.261052 3.387043 6.389351 5.501114 5.985288 4.783174
## [4961] 6.363663 3.395894 5.287224 4.719943 4.830949 2.815414 5.495325 5.345835
## [4969] 4.431284 4.398817 4.373410 4.434830 4.258553 6.429168 3.620267 4.651627
## [4977] 4.976554 5.116860 5.211896 4.059378 6.308620 3.383846 6.302621 5.225125
## [4985] 5.203106 5.273431 6.188248 5.792120 4.361595 4.755240 3.915393 4.190811
## [4993] 5.238143 4.771265 4.302215 3.465546 6.775209 6.856795 4.774779 6.016931
hist(solicitudes, main = "Distribucion de llegadas de solicitudes por hora al sistema", col =23)

prob_empirica <- mean(solicitudes < 3)
prob_empirica
## [1] 0.022

Interpretacion

La simulación de 5000 horas muestra que las llegadas por hora se ajustan a una Poisson con media cercana a 5, concentrándose en torno a 4–6 llegadas; la probabilidad empírica es menos de 3 llegadas.

Tiempos entre llegadas

El tiempo entre llegadas de solicitudes sigue una distribución Exponencial con media 12 minutos.

  1. Genere 5000 tiempos entre llegadas.

  2. Represente el histograma.

T_Solicitud<-rexp(5000,12)
hist(T_Solicitud, main = "Distribucion de tiempo entre llegadas con media de 12 minutos", col = 8)

Interpretacion

Duración de la atención

Cada ingeniero tarda en promedio 30 minutos en resolver un ticket, con una desviación estándar de 5 minutos.

a.Simule 5000 atenciones.

b.Grafique el histograma con la curva normal teórica.

c.Determine la proporción de atenciones que superan los 35 minutos

D_Atencion<-rnorm(5000,30,5)
D_Atencion
##    [1] 32.16000 40.23968 32.59994 22.07308 31.19935 25.82551 27.08001 23.14633
##    [9] 38.36835 36.05186 22.24203 33.86290 34.13553 32.31816 19.15532 25.91919
##   [17] 26.46851 26.62422 30.64453 28.08943 29.20981 27.69414 33.61796 30.20421
##   [25] 31.10394 34.17012 28.25917 29.51280 34.28970 29.31940 28.88782 31.25961
##   [33] 25.87669 32.48368 29.03539 21.53638 27.91074 31.93924 24.04141 31.47989
##   [41] 25.50407 25.07037 36.57660 28.67621 22.33667 31.87974 26.39427 24.46568
##   [49] 28.37954 35.83466 25.54582 36.26884 28.53652 38.33056 26.86326 27.62934
##   [57] 28.72489 23.28698 29.52375 32.34340 20.82723 26.65789 24.55304 32.81377
##   [65] 30.58531 28.65474 22.76022 29.61493 27.90848 30.21600 36.10200 32.27728
##   [73] 33.33900 25.79635 27.56371 23.56869 27.93862 27.43428 34.63529 36.94158
##   [81] 34.35914 34.94056 35.10434 26.11625 28.56331 33.87524 25.99079 28.86296
##   [89] 38.46672 24.61840 30.86026 30.99041 40.66890 26.30688 34.75912 29.52533
##   [97] 37.87531 44.72302 33.00387 31.48307 39.78952 27.48965 36.11509 32.01010
##  [105] 28.83032 24.91072 28.74485 28.39768 30.24183 28.32001 28.26932 28.80042
##  [113] 32.91765 27.41710 29.56350 35.19589 31.25273 36.85984 26.11358 22.44379
##  [121] 30.36103 33.17812 19.69335 26.77257 27.61839 21.30230 29.23814 27.39220
##  [129] 36.09143 35.69181 26.42906 27.92793 22.54520 31.46928 29.49335 28.93202
##  [137] 33.42525 29.54603 33.15709 25.48909 25.77475 31.94959 26.86560 29.04839
##  [145] 35.39528 24.23068 37.03717 26.55777 28.68323 44.83493 22.81909 33.87983
##  [153] 15.83542 27.03770 31.04588 38.26877 36.25722 23.13158 27.83284 33.21167
##  [161] 37.97697 36.86571 25.04595 26.20951 35.39813 21.64369 29.98195 28.93508
##  [169] 25.64473 23.19779 27.06354 36.36359 26.45641 31.37756 23.71708 41.70760
##  [177] 27.14506 44.21041 33.22827 22.71525 21.02547 24.25226 29.36148 29.12007
##  [185] 27.54857 24.22881 18.08750 23.97243 27.65296 32.39225 39.32635 30.55000
##  [193] 38.13832 22.27445 26.30126 20.78509 31.76422 30.87963 36.97881 28.19217
##  [201] 31.35887 33.55025 22.17680 29.72709 35.88077 32.77077 28.61441 33.26678
##  [209] 29.12404 27.42107 35.11473 19.77760 33.78955 35.65322 38.15520 29.86346
##  [217] 30.75214 31.82779 30.63056 22.70833 30.07143 26.76013 29.63756 32.94112
##  [225] 28.06973 31.95483 32.31589 28.16250 28.55289 35.42207 26.74846 25.83927
##  [233] 21.00639 19.49458 34.73867 25.64417 19.20518 29.99951 32.90848 30.58160
##  [241] 26.70580 27.76544 29.03326 31.56206 34.17724 26.74683 28.38564 28.85233
##  [249] 32.95537 41.43610 32.94044 22.27764 34.53645 31.57896 25.71251 31.40923
##  [257] 36.53382 26.75128 31.17703 33.15464 36.25505 24.50513 33.22527 23.11714
##  [265] 26.87842 24.97957 32.17744 33.51174 22.26195 38.15555 31.20658 33.93872
##  [273] 31.18302 36.58409 33.59394 35.47996 24.47535 22.87853 22.13839 29.99513
##  [281] 25.21345 31.52545 33.00036 25.98153 22.62693 31.12687 26.05527 31.88068
##  [289] 36.18464 25.55244 37.02700 33.99953 34.51709 33.81471 34.86489 27.78679
##  [297] 36.48308 30.90244 32.60683 32.92095 29.43122 32.42671 26.74371 36.66486
##  [305] 32.05134 23.26719 30.88892 28.30844 34.61204 32.54676 29.28054 28.86221
##  [313] 37.43952 28.55364 29.23729 30.31854 25.18786 26.48735 35.56169 27.97934
##  [321] 31.43330 29.34536 28.36511 28.59901 34.08532 30.28760 24.50188 27.73116
##  [329] 29.32488 29.23830 28.59527 32.02552 20.13476 23.18308 29.76149 39.70474
##  [337] 25.59769 29.44001 33.65126 15.65189 20.12928 27.84830 25.98111 31.36547
##  [345] 36.48270 26.13350 23.33473 32.41165 32.31509 32.87993 25.05536 26.86740
##  [353] 37.71623 28.36004 40.92404 32.23349 35.72257 37.15139 28.16131 34.59296
##  [361] 28.82291 27.13455 24.41413 32.71828 33.80697 36.82223 27.80994 31.62854
##  [369] 30.34270 29.80972 33.11561 29.81433 31.33751 29.92839 31.99469 29.17265
##  [377] 32.91027 32.55450 31.12013 32.97509 26.62529 35.75164 33.29482 30.26072
##  [385] 24.16931 28.50547 32.62335 31.48365 21.28121 29.04065 31.68457 29.42393
##  [393] 29.37994 39.82140 33.72935 31.23503 26.91775 22.89623 25.22373 23.69527
##  [401] 36.14229 31.79226 22.16584 35.01371 25.11174 22.67911 30.97944 31.46680
##  [409] 31.66597 35.87391 24.14803 33.00745 36.01327 26.31618 33.04496 29.49625
##  [417] 27.84403 31.06196 26.33064 30.44945 34.70079 30.10716 31.16847 30.70763
##  [425] 30.88248 32.24933 29.64834 26.24303 39.02233 28.13229 35.27563 34.28304
##  [433] 29.70489 39.43956 28.90982 25.00531 35.33097 32.97574 21.67837 24.65438
##  [441] 30.06507 27.38109 22.80072 28.05862 36.04492 34.14789 36.97194 27.71040
##  [449] 26.58377 29.76705 33.70571 38.58314 27.04416 33.27147 30.98885 33.74814
##  [457] 33.60812 34.61568 33.83246 32.76358 24.85901 32.79167 30.75448 42.35758
##  [465] 24.95726 24.83389 33.20618 24.75400 36.88746 30.36614 30.62967 35.93304
##  [473] 19.00338 39.68177 27.90242 28.33111 28.82821 37.02852 37.44488 25.66086
##  [481] 35.13575 18.96682 28.59991 23.61788 32.83987 24.66067 38.30704 20.04975
##  [489] 31.02768 32.47611 32.73946 38.00446 36.69861 33.36540 39.78302 32.07683
##  [497] 32.46705 29.31641 26.39637 25.80120 34.14863 22.37248 37.49176 26.76692
##  [505] 30.12774 33.68058 28.35875 20.24147 29.75402 26.44449 28.39758 31.68206
##  [513] 32.23501 32.93365 32.18665 24.22574 32.85821 35.68001 34.25925 25.64779
##  [521] 34.42094 33.81551 23.43198 34.49923 24.82517 32.32673 24.10858 25.46618
##  [529] 29.33465 27.84557 30.64401 27.16265 23.22528 18.76831 39.33128 27.58097
##  [537] 30.42406 35.41912 23.31603 36.76716 32.52216 30.05723 24.96388 36.53749
##  [545] 32.61048 34.44892 25.78682 32.19527 28.22283 32.07202 29.61170 25.90684
##  [553] 36.65299 29.31291 35.93041 35.18873 28.19909 28.48441 29.31511 34.14878
##  [561] 35.51976 36.02735 27.67114 29.61391 37.78918 22.56809 31.04695 32.92869
##  [569] 26.98364 38.89248 26.49923 33.91773 29.19435 26.31782 26.58172 26.32727
##  [577] 33.25696 28.10311 28.77251 28.93339 26.74173 23.60058 24.78025 37.72025
##  [585] 29.08612 24.18919 34.22086 20.05515 33.86826 38.14820 34.01455 23.50896
##  [593] 33.47056 26.36008 33.86723 26.11536 26.18626 26.15631 28.04420 30.76182
##  [601] 33.20477 32.88408 35.35463 14.05823 24.86293 25.18927 34.96091 29.60245
##  [609] 29.04233 23.15527 36.37819 24.37296 29.20388 30.11427 23.32930 32.58152
##  [617] 19.56879 33.61690 32.83074 32.67425 24.06861 27.17007 22.38762 29.68339
##  [625] 28.71871 24.80284 30.17496 19.41890 17.42546 27.54631 29.41250 30.42605
##  [633] 31.24773 35.57192 30.46129 30.29639 33.42319 33.85841 37.05239 30.91470
##  [641] 32.84834 30.04628 31.77301 31.07018 31.78882 33.58154 22.92108 28.16816
##  [649] 23.41280 28.39881 39.92873 30.40221 27.67629 30.49233 37.02399 30.65296
##  [657] 41.27843 29.49581 31.46372 37.09742 28.38333 31.97594 33.57416 26.53521
##  [665] 28.54380 24.07690 40.09809 29.29716 31.98196 33.55970 33.56638 23.65699
##  [673] 28.26976 36.13238 36.71873 32.68157 32.31526 24.67065 31.65648 23.63199
##  [681] 27.28939 32.81163 31.23616 21.18591 24.76179 33.80186 20.37306 33.27193
##  [689] 34.24611 32.92441 33.29255 24.63864 20.76599 29.57282 22.06713 29.02990
##  [697] 37.45202 41.31044 26.99273 29.37224 28.83011 32.16417 31.18237 36.80477
##  [705] 22.66723 30.02895 28.93292 25.34945 26.07484 29.49727 34.48052 32.76596
##  [713] 25.11387 34.31495 37.50290 25.93624 31.73154 28.33335 40.11580 38.33890
##  [721] 25.73768 32.54806 26.02997 27.25003 27.98890 31.09485 32.68908 32.72049
##  [729] 30.12839 32.08016 36.01256 33.13095 31.86677 26.26213 41.36866 27.12716
##  [737] 32.58718 27.26327 26.97031 27.30475 28.43393 33.43717 33.17791 35.74259
##  [745] 28.64188 30.16298 33.19439 40.37270 27.10098 29.13566 39.31829 31.14442
##  [753] 24.49146 30.04540 35.73025 36.21112 25.46366 28.52098 23.53573 21.47455
##  [761] 25.94946 23.55694 29.22818 30.86239 32.15907 41.53247 25.76886 31.94047
##  [769] 29.66307 37.07220 28.74440 26.43878 31.66206 31.60169 36.69192 39.41140
##  [777] 27.01520 29.77327 33.66524 25.32816 25.67622 33.34994 31.52667 21.93162
##  [785] 30.46226 27.71182 25.13031 27.31734 26.64005 33.03233 36.40315 32.85967
##  [793] 22.70608 26.01396 33.27390 29.23757 35.25984 28.75488 19.29664 31.27951
##  [801] 30.75649 41.46470 29.91994 32.36685 19.18870 23.29096 25.59317 26.73874
##  [809] 32.99904 28.91631 21.00010 40.04692 37.19017 25.33599 25.09568 23.72025
##  [817] 34.08046 23.90310 30.45833 29.43830 28.72787 35.00855 19.86075 33.71544
##  [825] 24.85192 23.96883 21.03381 27.47591 32.91765 31.24441 25.92208 22.09744
##  [833] 28.84843 28.29402 34.83205 25.55756 39.96756 28.27839 26.29452 16.99507
##  [841] 33.67217 27.87231 24.90894 30.27316 29.43696 30.42749 33.73247 30.99672
##  [849] 29.09430 21.89603 30.23725 37.38055 31.07080 43.31902 22.60660 30.64875
##  [857] 35.39471 35.36357 31.09728 31.24611 28.73192 29.20002 39.97381 34.23102
##  [865] 23.27990 29.56402 37.33492 37.13284 25.36495 35.11246 40.96171 41.35591
##  [873] 36.11646 19.42115 30.68370 23.65369 27.07003 26.81428 27.03448 22.77739
##  [881] 33.51986 39.73357 21.85037 31.53246 27.98408 32.76999 25.88406 31.65500
##  [889] 31.91392 17.54179 28.22206 25.05976 32.21514 30.26392 25.04585 31.33341
##  [897] 27.57586 29.08394 28.20897 24.47880 35.61248 21.61621 20.98480 24.67905
##  [905] 28.99501 26.92501 30.43057 25.45130 38.16824 28.45665 28.46819 34.05567
##  [913] 34.75295 31.05791 33.90570 38.43127 27.11083 31.03102 32.45096 30.75271
##  [921] 28.22538 24.32324 25.64873 41.20673 30.54870 20.57920 28.63153 31.51699
##  [929] 20.40081 28.01480 32.72054 27.37812 28.86244 28.94010 32.40429 27.14614
##  [937] 25.50554 18.82936 29.56488 24.42283 33.13375 25.62599 32.25711 32.91649
##  [945] 27.29063 31.81555 28.90998 24.74620 22.76326 23.30479 16.69707 29.23837
##  [953] 30.30595 29.38358 31.80775 35.87025 29.76739 19.32233 34.43970 25.52924
##  [961] 25.04135 35.07251 27.72440 25.33324 32.32133 28.54966 22.12554 29.35352
##  [969] 28.81461 38.18560 21.80801 25.96294 26.92374 34.45234 35.17452 23.68952
##  [977] 24.90822 31.69888 32.34415 31.09998 33.23012 26.17588 27.55236 32.39975
##  [985] 25.67121 29.01670 29.72300 30.92100 29.69990 33.01120 32.54028 33.04434
##  [993] 26.07218 29.85266 25.93958 17.81138 26.95691 38.96225 39.72919 30.40929
## [1001] 30.81549 23.55057 30.24807 34.79472 39.18640 19.91581 26.13870 29.68728
## [1009] 29.36463 28.74218 27.25830 22.92091 30.53138 20.27491 29.68901 36.13752
## [1017] 24.68526 29.38994 38.03776 23.86083 28.42377 29.36811 31.21786 31.78825
## [1025] 32.50830 32.76672 32.27075 24.71425 30.22102 26.48514 28.26424 21.82145
## [1033] 28.11395 27.67277 28.37221 25.68141 34.38662 17.74506 28.26141 33.67440
## [1041] 26.53572 30.45139 27.96045 30.25331 34.82079 20.19484 27.42377 25.09923
## [1049] 22.86136 25.56418 36.34098 28.47455 30.80919 30.99990 31.76086 27.86330
## [1057] 34.06412 26.11305 31.70133 29.48963 31.56900 26.84934 30.51922 28.35881
## [1065] 27.58867 37.95002 36.11030 27.08063 20.70336 28.21633 36.51387 24.51016
## [1073] 16.86601 31.67403 19.97725 24.14757 21.95319 27.31455 21.66947 36.85375
## [1081] 30.95254 38.40361 30.40049 35.15406 25.67902 34.67509 32.57549 32.90666
## [1089] 26.70906 30.65689 22.20285 34.11056 27.18449 25.21976 31.73532 35.25135
## [1097] 32.66000 21.99194 35.33570 30.87939 23.99167 32.07693 37.69903 30.12402
## [1105] 22.44376 29.71495 36.70461 34.18713 29.47931 26.83829 24.36573 23.22299
## [1113] 35.83814 30.07215 28.74748 32.82213 28.41099 24.12469 32.83468 25.76220
## [1121] 30.55945 30.43464 36.87356 32.76608 30.82875 26.99612 28.55161 29.70263
## [1129] 34.29722 29.76787 23.13938 37.74237 28.40109 24.57437 36.91756 40.61439
## [1137] 25.49069 25.10721 33.11472 34.75517 32.15998 39.02194 31.04559 33.42000
## [1145] 34.75331 30.67914 19.31375 30.48544 36.41419 20.87366 28.08628 26.98060
## [1153] 26.84440 31.73812 41.61109 25.49753 30.48733 27.72327 28.86468 31.09838
## [1161] 28.38780 30.10845 30.62035 20.35149 26.84756 32.25868 28.73693 29.48604
## [1169] 27.48338 35.76259 26.16033 34.90458 35.66082 23.23272 33.62099 34.18024
## [1177] 35.65555 18.36680 24.20995 28.97935 26.11146 30.82921 34.39357 35.45900
## [1185] 33.07092 26.89435 37.50734 34.75525 31.40838 24.19337 34.61172 35.51314
## [1193] 23.43032 28.02018 12.73415 19.10395 24.19986 41.59566 34.63682 29.82909
## [1201] 34.07052 24.04847 24.41108 28.19943 38.96448 28.56871 28.49426 34.03992
## [1209] 20.37856 26.90380 32.42985 30.12100 28.31393 30.81826 41.62064 31.66478
## [1217] 21.83741 27.94706 30.19769 20.79286 22.80096 32.86551 34.19283 27.32301
## [1225] 28.88476 28.29277 36.93521 23.99132 30.40561 31.64999 24.48570 34.10118
## [1233] 28.77949 32.75686 34.46969 38.24741 37.82919 23.02107 25.99495 29.14295
## [1241] 31.13106 35.42861 29.24383 27.55021 32.45045 25.96065 29.58081 31.01872
## [1249] 29.95181 34.17921 28.72616 30.17974 28.07327 25.73303 38.81091 30.00030
## [1257] 23.26246 23.68857 24.97220 34.21296 32.04913 32.97000 32.28544 37.40747
## [1265] 29.25646 27.40413 28.55685 28.47107 41.87031 36.63525 30.34480 35.13421
## [1273] 26.67639 28.47502 30.04368 21.34800 29.16785 30.94538 26.16973 22.88350
## [1281] 36.88015 28.08920 30.15702 30.83729 28.97348 19.32423 31.17027 26.02879
## [1289] 30.75398 27.97243 33.31162 36.66242 28.57393 35.17578 22.75242 27.98068
## [1297] 31.64895 39.25771 29.85290 26.69150 33.20405 31.29526 26.83449 22.75606
## [1305] 29.00652 23.49268 42.35595 29.29419 31.94913 33.65126 32.06810 26.99917
## [1313] 29.80296 22.41019 27.62459 33.51728 20.59578 32.99689 29.77911 23.43210
## [1321] 25.30141 33.03025 32.14853 33.82950 29.26846 28.60993 22.10055 37.33745
## [1329] 34.20978 33.47225 36.76934 34.68709 27.56994 24.79521 26.46043 27.68426
## [1337] 26.05805 31.32735 32.44891 37.05689 31.64873 27.78802 35.58770 33.83649
## [1345] 32.75856 35.39448 38.65252 28.51449 37.83424 25.41238 30.78563 30.65708
## [1353] 32.66377 26.16420 26.20724 24.52137 26.12279 31.12802 31.28948 22.41114
## [1361] 30.98981 27.65578 43.39837 25.95799 28.46712 29.43574 28.79072 29.80893
## [1369] 31.83001 28.34221 30.29719 31.93228 28.14069 26.47281 32.98528 35.72324
## [1377] 31.93931 31.74398 24.35179 36.74777 30.56493 27.87913 32.02860 31.17308
## [1385] 35.73635 45.36812 31.77508 23.06578 29.07483 31.32257 30.45187 29.26683
## [1393] 28.44507 30.56387 31.61771 31.33058 22.69331 31.23969 33.11507 32.49008
## [1401] 26.56886 33.34948 31.21090 25.44801 35.55954 29.88141 31.00832 27.98345
## [1409] 32.79283 20.94125 28.38398 23.61780 31.53076 21.86997 28.38765 25.31729
## [1417] 34.97367 20.95933 37.82212 31.53540 23.39132 25.81156 31.95333 18.13875
## [1425] 30.59229 25.89401 25.04983 35.24188 25.92713 31.69908 27.54320 35.60114
## [1433] 21.53129 25.15105 39.00484 23.34026 38.93844 26.41736 31.38925 27.35401
## [1441] 25.33978 33.74781 35.94581 31.41713 31.53108 35.48573 25.30484 38.44260
## [1449] 29.94131 28.58195 23.16103 33.21671 33.89928 36.08119 30.80192 37.18477
## [1457] 32.53877 28.94611 29.31345 37.45581 34.30342 34.47257 32.47100 34.63786
## [1465] 28.97728 28.66136 25.46192 26.89754 31.65372 23.39170 31.30760 33.93104
## [1473] 29.10524 26.71693 30.54065 28.69125 26.80454 32.79812 39.21603 27.49361
## [1481] 34.22367 31.47565 36.25960 20.34569 31.06566 33.11366 24.80763 33.64162
## [1489] 21.21096 39.58221 14.57226 29.96646 27.59443 31.84616 25.47301 32.44900
## [1497] 27.33438 29.22775 32.90488 32.66950 35.92985 34.96153 31.90079 23.17098
## [1505] 33.18194 27.69816 27.84361 30.91044 28.63144 25.38777 27.50992 33.38798
## [1513] 28.39713 33.28662 17.04564 36.58769 25.25773 21.40556 19.06765 32.52772
## [1521] 32.50012 25.06473 35.85255 37.28553 33.71184 34.61383 30.11974 35.70600
## [1529] 37.02887 28.66952 38.15092 32.80684 27.96115 23.25044 37.25466 23.44467
## [1537] 24.89847 24.75412 29.00007 29.60402 28.63247 26.24619 19.08660 34.87458
## [1545] 29.52103 32.39152 28.57208 30.32058 27.80537 32.43784 25.20042 34.50862
## [1553] 37.38904 26.55855 37.70797 31.41650 29.17602 32.25078 26.86573 22.64893
## [1561] 29.79710 25.74722 27.40919 26.29368 26.02862 25.35666 27.03333 21.23214
## [1569] 25.47258 41.99300 30.29176 28.61038 26.92488 32.39238 31.06848 24.90265
## [1577] 36.19205 30.59600 22.82957 28.07971 21.99209 25.00828 32.82632 30.95968
## [1585] 25.80165 34.02484 31.32632 23.32441 36.04824 24.03293 34.28921 35.72114
## [1593] 27.09768 22.20529 26.99240 32.24437 27.42203 32.70915 37.66966 34.15943
## [1601] 34.69751 28.79671 27.74799 36.81714 29.42137 24.88667 26.45902 37.73438
## [1609] 39.67489 25.64424 18.29860 31.92295 31.05256 30.34069 30.05230 26.99179
## [1617] 32.24107 25.75880 28.85995 28.13519 31.65531 30.62509 31.10639 28.36552
## [1625] 23.72509 23.46547 38.39717 33.46039 24.39831 28.10176 30.04968 21.73396
## [1633] 21.70241 31.75333 38.09465 25.82716 26.46379 24.52720 25.26036 22.65753
## [1641] 36.17637 25.65581 39.77631 39.68720 25.18676 34.71500 27.95008 37.62454
## [1649] 25.02882 31.85072 25.95551 35.87325 27.31401 20.62811 29.02705 32.96061
## [1657] 24.59351 33.44192 31.09310 25.62457 29.86819 25.63394 26.43690 26.83116
## [1665] 26.10011 24.19316 34.91950 24.01373 28.14930 25.03122 27.35588 28.84645
## [1673] 31.02850 30.86333 24.61106 29.42741 33.79222 31.56865 26.82558 30.57915
## [1681] 32.99003 28.20656 27.22988 29.13957 37.20979 29.26467 25.51485 35.54623
## [1689] 28.94164 33.67994 23.29043 27.37652 26.94981 26.64773 30.85032 34.61297
## [1697] 28.82352 29.07741 31.30508 35.24541 35.67263 28.07082 29.97385 29.59054
## [1705] 25.64219 35.37474 23.84535 36.10169 26.05218 22.25095 30.08097 40.78150
## [1713] 34.01237 33.76055 25.04625 37.20269 19.37563 19.44126 29.32092 42.88525
## [1721] 22.51388 39.30451 28.99644 29.49681 17.17670 16.92147 27.40870 26.36198
## [1729] 28.48325 20.56634 28.70125 27.98191 24.18183 26.40422 25.73090 30.86661
## [1737] 29.74823 39.52409 27.67726 15.13810 30.67915 28.70274 31.37483 26.63244
## [1745] 24.26201 39.85491 23.30127 32.71703 35.96853 28.23263 17.54037 26.25539
## [1753] 36.60840 28.10376 29.60402 26.11491 31.16449 26.29797 30.06807 22.46586
## [1761] 30.26937 30.83402 32.56085 29.81529 30.75209 33.90592 28.30081 31.83990
## [1769] 38.12146 30.77623 29.93669 21.89451 21.51984 29.18930 30.03079 29.52132
## [1777] 33.33171 26.96033 28.44557 36.30535 27.12097 33.08512 33.13992 25.60198
## [1785] 20.93584 28.35505 36.33204 22.10011 33.17737 25.40960 24.47548 31.00609
## [1793] 25.93125 32.26181 38.42378 29.59052 27.69729 37.04116 22.53805 29.18830
## [1801] 25.73672 27.78837 27.99011 33.13246 31.36345 28.68887 26.96612 32.49737
## [1809] 30.72276 35.52472 33.14016 32.77269 27.52315 30.73347 31.98047 21.12482
## [1817] 29.94793 32.63991 27.11970 25.61373 27.09395 27.49608 14.44567 30.97966
## [1825] 31.19871 38.15470 38.07323 29.84332 35.20920 37.54017 25.28975 27.54294
## [1833] 32.96378 32.71138 32.25174 31.46438 28.58938 31.43003 22.62224 18.28490
## [1841] 26.90436 31.70910 22.25412 34.12984 28.31500 34.69320 29.93278 29.63171
## [1849] 32.83920 28.35800 28.34578 26.19181 28.22011 29.95490 44.28607 31.59593
## [1857] 38.39102 20.59474 21.34576 31.90804 31.41039 25.25050 30.21536 29.65085
## [1865] 31.02979 31.75129 24.98603 25.98013 31.42689 28.94974 29.44633 24.83356
## [1873] 23.20588 29.65268 22.12167 20.88331 27.37981 31.66661 29.29671 29.15211
## [1881] 31.67081 31.27333 34.03190 30.22362 29.06941 37.23389 30.99328 26.86575
## [1889] 30.34201 30.55911 33.44246 32.46063 19.75323 22.18664 32.27640 33.92376
## [1897] 36.85649 30.51010 23.55779 25.03907 29.43757 26.90196 32.60314 26.50708
## [1905] 30.39962 34.13244 27.88558 33.19931 23.79948 35.21893 22.51165 25.68828
## [1913] 27.59066 30.64496 21.68283 27.17607 33.02621 32.80641 34.62674 30.92520
## [1921] 27.82436 33.31890 27.96993 21.25900 32.29592 35.01249 23.64407 34.66736
## [1929] 33.79086 25.51007 30.39213 34.82184 28.95767 19.96325 33.06195 23.74575
## [1937] 22.87009 30.26363 21.93011 29.29573 39.42054 25.04268 33.80961 27.38949
## [1945] 25.31979 38.00353 31.11871 33.21142 32.66020 28.29843 37.34344 27.28634
## [1953] 30.68647 27.67241 22.92158 25.36266 23.09528 34.27682 33.58703 26.00345
## [1961] 22.07096 36.67451 32.71023 24.36111 33.38215 29.70288 36.95748 36.77163
## [1969] 24.57122 36.91706 37.34165 33.07168 39.45421 28.33793 27.54021 27.90402
## [1977] 34.95377 27.36833 34.34962 28.97541 17.38722 31.77590 31.08531 32.75173
## [1985] 28.16833 31.27019 30.51605 27.58617 30.20423 33.59409 24.94506 27.26695
## [1993] 27.14657 31.18275 30.86681 24.13550 21.12732 31.92906 28.56243 29.26489
## [2001] 33.39849 26.55089 28.09184 32.28384 29.10757 26.48183 30.64674 30.04158
## [2009] 31.62321 42.05641 26.42194 39.31593 28.68856 32.01005 24.22541 33.80263
## [2017] 29.29792 30.18993 25.16809 33.17867 23.21012 25.72006 30.57874 23.57923
## [2025] 36.56204 37.62034 24.42233 30.30205 38.08652 29.15803 31.95022 34.81278
## [2033] 28.42680 26.11295 32.10747 37.56991 24.49959 32.85177 21.81336 30.69595
## [2041] 40.78225 29.88052 26.81804 35.49047 35.45571 30.95627 30.71195 24.54250
## [2049] 30.33359 27.37182 28.66944 31.98517 25.11719 24.15925 26.78698 30.79222
## [2057] 29.23993 41.47355 29.53117 31.59611 29.97149 26.59555 34.89043 29.20540
## [2065] 29.62478 21.69538 30.31574 27.92843 31.48419 27.68790 11.84311 36.66948
## [2073] 25.32926 31.04624 30.09589 25.37965 35.65397 39.82977 23.13183 31.63226
## [2081] 37.79012 31.05133 37.91629 31.60782 26.91448 36.72139 28.97525 29.40806
## [2089] 36.70621 31.85894 23.61688 35.68260 32.83102 34.03193 26.13845 27.28007
## [2097] 38.40678 25.11090 34.35108 39.96747 34.41718 30.86439 34.03898 36.96791
## [2105] 22.01254 22.70221 26.33011 31.97885 37.57517 22.99279 41.13957 30.97374
## [2113] 24.01099 31.06725 26.11594 29.89187 31.88831 31.87827 28.19403 24.58421
## [2121] 32.71650 26.05021 25.68998 40.04068 27.27100 38.59755 33.68174 25.83615
## [2129] 29.16902 29.77034 35.40979 23.91381 34.98780 25.92259 37.16237 28.99136
## [2137] 29.41793 29.46897 27.04776 37.23294 32.18694 33.71383 25.69563 35.24879
## [2145] 25.94194 29.11312 20.46727 25.04959 29.26815 24.69911 27.51481 30.04470
## [2153] 22.23788 28.91030 23.50136 30.52300 32.19919 31.65941 39.15954 32.14663
## [2161] 28.53726 19.57148 33.48401 33.05509 29.39132 34.38185 26.40612 32.95361
## [2169] 28.08080 28.76741 34.18860 28.66287 26.73032 31.31909 26.14953 32.60840
## [2177] 25.49916 24.23748 38.29799 36.00359 21.40557 29.09198 28.02519 32.04631
## [2185] 32.66788 28.74204 33.17757 36.52174 33.07121 24.13858 32.47110 30.84819
## [2193] 29.27539 21.06055 35.22218 25.03595 24.53913 26.25595 24.13992 24.65365
## [2201] 19.34304 21.65773 26.47692 32.10197 23.12296 31.43206 27.66136 34.09870
## [2209] 28.63708 34.63783 22.27305 20.62886 35.38940 29.29792 25.35071 31.19181
## [2217] 39.33545 34.11023 28.36826 35.96261 22.44459 32.66974 29.37724 33.21983
## [2225] 30.05618 27.67389 29.14764 22.19188 36.67452 33.99955 37.95570 40.77553
## [2233] 38.23984 21.41976 38.87235 27.74013 31.03229 26.47136 34.28563 33.41858
## [2241] 30.29510 31.99458 35.58722 32.03100 15.67719 39.36871 28.18833 25.29878
## [2249] 29.77111 32.40117 30.30202 25.54902 26.71086 31.51725 32.00561 39.07867
## [2257] 35.48184 29.52262 32.67080 29.40231 31.64906 30.96178 35.39552 29.93680
## [2265] 27.92314 29.39027 39.34295 23.60528 30.91430 34.12651 23.04541 29.82724
## [2273] 25.26992 30.40032 27.51231 24.19613 33.71107 29.85564 29.49679 26.79095
## [2281] 24.68884 19.46391 31.71092 35.69645 27.72700 25.17650 34.69856 25.59240
## [2289] 34.27344 31.33659 18.98971 31.71667 33.69506 36.48440 25.24647 26.55209
## [2297] 34.36163 24.71530 39.83981 28.47155 20.89888 21.14218 34.45397 29.91737
## [2305] 36.16518 33.87308 36.49778 24.09961 30.75371 22.63995 33.30823 35.23920
## [2313] 30.35723 29.57372 33.02363 30.91765 33.20842 31.40630 29.80021 31.41680
## [2321] 35.79712 30.59547 28.86907 29.82653 27.17852 36.45548 27.13588 32.80086
## [2329] 31.08374 28.52301 28.50181 26.76418 18.08226 41.50806 30.37068 28.78672
## [2337] 20.00968 28.07434 26.67882 30.10614 23.92187 20.99958 21.46427 33.57778
## [2345] 26.37714 26.82845 33.06562 35.01463 30.68888 37.34470 20.91714 32.84002
## [2353] 24.57205 31.83163 28.99688 32.60006 17.40314 31.78219 27.03246 29.45650
## [2361] 28.25666 23.69486 25.84471 33.09025 31.40146 31.43144 29.82983 27.80469
## [2369] 31.81714 26.39505 32.13002 39.43340 29.01781 32.12062 31.27439 33.19483
## [2377] 32.75360 21.15127 39.20711 30.30447 31.06060 26.39661 34.55156 36.33508
## [2385] 28.85565 36.41294 38.03715 23.34032 34.55043 24.86079 25.86059 25.01873
## [2393] 29.58899 31.58741 30.91960 30.69842 32.26330 26.76245 39.61408 30.40066
## [2401] 37.35079 39.42543 27.91198 26.92471 22.35253 30.91251 30.59913 32.66341
## [2409] 29.91110 21.48688 36.85216 37.10809 18.84715 31.32925 31.25895 24.64923
## [2417] 37.50022 31.70524 28.70971 26.20464 16.66145 30.14885 25.72423 24.30551
## [2425] 23.08029 28.67607 33.57050 24.64228 28.20731 25.97977 34.89624 24.98698
## [2433] 38.34094 31.58953 36.05372 37.39477 29.68160 33.38201 33.92005 32.71755
## [2441] 30.92376 31.75093 30.62068 27.65542 25.26972 24.81555 25.08857 33.36480
## [2449] 31.61161 33.16241 27.51484 40.69277 34.62738 32.54325 15.46767 33.78917
## [2457] 31.32485 23.57780 35.28138 33.68347 30.16409 32.82598 33.02175 28.65864
## [2465] 28.64297 24.19033 36.38904 33.48938 34.75784 26.88127 32.75824 31.27704
## [2473] 37.20579 28.29207 37.06739 31.50067 31.92517 25.24901 28.22524 23.60762
## [2481] 31.35227 36.45098 31.12558 29.86298 25.98900 28.20615 22.88225 25.26883
## [2489] 27.67643 28.07745 30.96493 28.11928 33.56307 26.22594 25.90542 28.41115
## [2497] 37.31680 29.07374 27.76376 26.79453 37.16905 30.13345 30.94563 29.29737
## [2505] 29.02836 26.61584 27.87436 33.68342 29.63722 29.80256 22.87571 32.60298
## [2513] 28.25129 27.21070 28.38406 27.36766 28.22253 26.29980 29.98532 26.70918
## [2521] 32.48314 27.95125 32.86748 39.30772 33.47994 29.44124 25.58801 35.90857
## [2529] 40.86170 35.19124 23.20554 27.21872 27.98015 34.72415 29.65359 28.87429
## [2537] 28.54338 23.92473 21.25885 38.42614 27.87247 25.59549 31.98532 32.55144
## [2545] 22.73241 31.42863 32.08657 30.81977 29.42852 40.10884 29.02042 18.64192
## [2553] 25.85082 24.86603 35.04592 31.82183 27.39492 31.40551 29.74989 30.29902
## [2561] 29.65159 18.41479 29.00188 29.64435 27.31890 28.35707 29.30094 25.25002
## [2569] 19.28727 24.24530 30.45349 25.25063 31.65343 30.17377 28.29363 29.84266
## [2577] 29.08776 26.90741 32.80024 33.43645 30.82219 30.39440 25.68084 35.73943
## [2585] 23.16802 31.50638 19.33208 32.97348 27.74096 30.38796 40.85386 25.03598
## [2593] 31.97020 20.94857 33.16062 36.42004 32.99342 29.53556 23.24233 16.99155
## [2601] 37.25108 32.94939 34.63554 27.89094 33.50987 23.91757 30.47591 28.74764
## [2609] 28.63029 31.09734 25.72419 32.59992 22.73717 30.38971 30.11265 29.85576
## [2617] 26.73701 39.98936 27.11012 29.61528 36.41147 39.11144 30.31083 31.92067
## [2625] 33.72850 38.52300 23.12314 32.13796 29.86311 33.11982 23.45324 29.87366
## [2633] 28.51986 30.05476 25.46716 23.05849 23.28661 27.54337 36.92661 30.90187
## [2641] 28.93921 28.28600 27.03656 26.58221 28.38279 29.04991 22.32504 38.76316
## [2649] 25.23886 26.49463 31.82519 29.94090 32.49911 28.57136 32.99177 28.99347
## [2657] 28.09568 19.53345 38.85523 30.07714 19.59083 26.80677 28.91243 30.13618
## [2665] 29.36726 27.33109 34.54812 29.41208 37.43810 32.48902 33.73449 32.43876
## [2673] 35.22796 25.49281 33.85996 28.09203 35.30121 30.78969 18.83748 27.18305
## [2681] 33.73427 29.68100 24.49354 23.77545 25.17959 30.03021 35.99891 39.09552
## [2689] 29.95620 30.63365 30.21038 24.14556 35.20867 37.55643 29.33696 29.53143
## [2697] 28.50036 29.14607 24.70143 30.63738 28.43445 33.43732 42.02025 28.17893
## [2705] 36.24952 27.08668 19.08330 17.32398 38.34531 42.01929 38.04783 30.16659
## [2713] 25.64953 20.36367 33.22399 34.19270 25.12121 31.12407 25.85854 25.86186
## [2721] 24.71507 36.96408 23.62978 27.25060 25.02839 28.28358 23.50754 34.68731
## [2729] 31.32648 32.55596 20.90767 28.63716 33.56402 23.79647 22.94310 26.82623
## [2737] 31.11837 22.89862 31.33017 24.03218 35.44769 29.60121 32.01814 38.83487
## [2745] 27.86210 30.76272 29.27690 23.67973 32.97590 25.26242 33.72162 29.42601
## [2753] 37.71464 36.84668 39.89481 37.75049 33.19315 29.67043 31.58950 37.49587
## [2761] 28.97415 29.86198 20.83309 16.20672 24.82963 28.65814 30.75014 34.85473
## [2769] 32.97838 41.21871 32.31287 27.80299 31.76391 29.82385 28.33318 33.43131
## [2777] 31.42721 25.74298 23.74857 31.77346 32.66061 20.54883 24.10674 31.73532
## [2785] 31.72254 34.87495 29.11276 39.92038 29.48290 34.12784 30.60235 32.24641
## [2793] 41.84193 34.67037 35.29914 30.23634 24.76385 29.26602 29.27736 24.50089
## [2801] 36.06475 47.94360 27.19664 30.22718 31.27078 32.43063 32.53084 28.16664
## [2809] 28.23799 31.11991 31.81087 34.68056 28.29322 28.51715 24.93997 29.47703
## [2817] 32.23077 26.29912 34.56125 24.32297 26.73428 27.91336 22.94001 32.65934
## [2825] 32.48169 39.47618 38.13636 21.90761 36.22497 34.52700 29.36366 35.69199
## [2833] 30.31626 32.93753 25.92634 27.01554 40.16115 32.95954 43.50831 26.29575
## [2841] 30.55972 25.04934 25.89966 29.62611 35.54072 30.03526 31.92071 32.49418
## [2849] 27.25508 25.66440 30.96350 27.69249 35.07400 31.03363 28.28568 30.44824
## [2857] 30.55185 28.04441 28.72493 30.83457 32.06956 33.23593 20.47757 28.33589
## [2865] 30.55748 27.96100 29.87583 37.31294 23.15541 24.15446 27.48514 24.18285
## [2873] 30.06441 30.19714 30.93885 28.33869 32.39288 28.71420 27.59812 27.41891
## [2881] 29.58380 29.65569 17.77687 27.86435 31.74892 20.14775 21.49057 37.81416
## [2889] 36.48073 30.09689 32.76921 26.37848 30.70386 23.09413 24.07244 33.41652
## [2897] 30.35998 30.84638 19.52034 21.70041 26.38388 30.85390 33.15999 34.00557
## [2905] 32.38237 25.91554 33.52894 24.16752 31.05880 26.94549 25.47208 26.80924
## [2913] 33.05653 37.85987 32.99071 23.69939 34.48419 33.22965 28.22247 29.55169
## [2921] 29.13197 31.65258 21.94418 26.73186 24.65541 25.56164 34.13686 35.91588
## [2929] 18.59430 31.20370 34.37858 33.05869 26.93537 34.65829 30.50285 29.83156
## [2937] 27.65278 30.22709 21.85814 24.98101 30.15463 31.47520 28.84515 33.03313
## [2945] 30.17923 23.62836 29.07376 28.78406 30.36230 24.26276 34.09736 29.72354
## [2953] 38.29814 25.88712 34.78389 24.16780 27.85988 27.46289 21.77672 32.07185
## [2961] 26.50275 29.29335 27.34551 31.06186 31.34798 34.33548 34.26099 29.05038
## [2969] 33.77199 34.16031 23.63754 24.88312 34.69027 36.82822 25.02688 31.44961
## [2977] 30.90319 32.01036 23.57025 26.71431 30.84244 37.65671 25.18431 33.59052
## [2985] 32.31664 29.56006 30.34245 36.88889 32.06530 30.02106 31.46674 33.30730
## [2993] 22.93852 35.76579 21.95945 28.36630 23.01862 31.68494 29.04851 31.39562
## [3001] 34.40254 41.81263 27.99193 31.32594 32.87957 34.10385 40.69572 30.03418
## [3009] 30.21744 33.12142 28.53981 26.47837 26.98339 24.71984 35.22820 31.00003
## [3017] 28.51496 26.11939 37.74086 34.11929 24.86108 24.21816 27.84711 23.05184
## [3025] 39.06780 33.79570 25.19946 40.19429 34.41750 31.13630 33.64262 31.84767
## [3033] 28.04977 33.16554 30.49956 26.62616 29.88941 32.67142 21.28626 24.77475
## [3041] 29.72560 24.03285 24.51719 34.45675 29.23059 28.95518 33.40855 26.47473
## [3049] 17.60445 29.91688 36.53280 19.78322 30.81671 47.12169 25.04091 30.28288
## [3057] 31.27102 29.67157 25.69458 30.36945 28.13195 27.88960 26.03805 22.52528
## [3065] 36.53060 29.67396 28.15332 41.29873 39.17530 30.28151 27.86860 35.48724
## [3073] 32.18957 27.09065 32.87786 18.88078 25.60525 26.16327 25.51188 34.70051
## [3081] 22.60723 29.48449 31.94360 33.57776 38.26606 25.92715 25.74635 34.08584
## [3089] 26.18416 32.77899 29.60948 26.41694 41.59969 23.65407 30.95491 33.26778
## [3097] 28.99237 27.71182 26.26219 32.81218 22.12959 34.07933 35.43165 25.32995
## [3105] 35.51142 23.49229 24.79659 29.81033 27.23347 32.11884 32.60353 26.98238
## [3113] 21.99953 13.93795 33.78721 32.03638 27.57203 29.29754 31.81417 26.52268
## [3121] 28.81515 29.65768 28.81416 20.55234 26.16097 35.09535 32.54095 33.71482
## [3129] 27.41511 27.78879 36.36910 27.51188 23.90012 42.39866 26.00322 24.78163
## [3137] 24.27633 26.44497 29.39055 29.55723 37.05879 36.91895 34.03906 34.34923
## [3145] 30.89042 38.80258 20.84684 32.80408 28.63591 25.52974 33.57078 24.89954
## [3153] 27.81519 30.34608 32.44994 21.29356 33.52196 27.14347 25.41455 37.13942
## [3161] 32.17546 27.49428 33.53689 32.22305 32.96945 22.19552 33.67915 27.63185
## [3169] 30.07590 31.66887 32.17668 25.36107 38.50938 31.64986 30.98770 30.11341
## [3177] 27.16404 23.53683 26.31541 26.09908 28.37747 34.30463 26.67125 30.68535
## [3185] 29.38785 25.03089 34.50315 29.95053 30.67749 26.40210 24.01888 23.18877
## [3193] 27.85576 26.73875 27.17705 32.31321 25.95291 33.20658 28.99185 31.10809
## [3201] 26.86451 29.66496 39.60129 31.28801 21.52998 22.14423 30.86161 43.77555
## [3209] 38.45348 34.17522 33.50023 26.30754 33.21862 35.80128 25.65139 33.29405
## [3217] 34.80453 27.96288 39.37203 30.20948 34.71454 18.32253 33.27055 23.46518
## [3225] 33.34182 19.82070 28.48736 28.75509 30.05334 28.34486 30.30846 31.23328
## [3233] 24.94532 33.27497 31.85355 26.25806 31.06122 29.81790 28.55119 26.03482
## [3241] 32.68992 26.36999 24.63073 26.21623 28.70875 27.89887 34.22934 31.41141
## [3249] 18.83786 25.45522 31.90746 23.27762 40.37111 34.24194 41.68653 17.04476
## [3257] 24.33323 34.96268 34.59670 31.45934 27.60595 32.08260 25.88396 30.99088
## [3265] 27.57577 28.03547 35.45724 38.23108 31.16756 25.72905 27.35466 34.43443
## [3273] 43.54821 28.53749 27.31540 30.53973 19.35473 20.25542 28.33719 20.46213
## [3281] 27.91418 31.18526 38.33326 31.33353 30.42897 37.55154 25.99470 31.23732
## [3289] 24.98859 37.78012 21.76787 34.31621 40.96952 37.18992 33.20686 25.61585
## [3297] 32.34582 30.41242 29.36786 36.22923 37.79694 32.01258 25.90550 34.53493
## [3305] 31.10230 30.14936 34.72344 22.05848 24.50953 27.16002 34.14740 34.05326
## [3313] 22.33731 38.96418 33.91905 33.70004 38.66796 35.66557 34.21565 24.84800
## [3321] 32.75266 32.46232 40.44784 33.74691 31.44667 28.00265 27.35292 30.68673
## [3329] 31.68342 30.21380 31.04234 37.71243 30.38457 27.57539 22.45781 27.11234
## [3337] 25.14074 31.11206 36.97229 30.99860 32.51394 33.57289 34.05953 25.44787
## [3345] 30.28823 30.40343 21.36310 37.45290 25.76552 24.03096 24.71293 28.82158
## [3353] 33.10760 15.19100 35.97399 32.83250 40.00995 31.62792 23.34298 29.25934
## [3361] 31.33645 34.26349 23.13280 17.28611 35.08291 25.80445 33.65782 21.84416
## [3369] 30.19040 33.18530 29.48992 32.99553 31.74423 30.63102 30.39123 25.50639
## [3377] 30.55799 31.53544 25.49536 25.19243 43.49471 28.28582 28.53912 27.07927
## [3385] 20.88024 32.60524 34.77260 39.95342 38.51495 23.25281 34.79514 28.53576
## [3393] 26.87886 31.09517 30.69946 27.52442 27.34427 34.37803 34.25865 23.26137
## [3401] 26.96626 26.19963 27.21072 27.80391 25.39551 30.27870 38.16423 17.83194
## [3409] 35.18459 32.01671 25.98863 35.70945 31.79637 37.69950 16.83606 31.96741
## [3417] 27.50987 33.85727 32.24989 29.58239 30.91738 33.56992 28.81484 27.10113
## [3425] 28.41430 27.24318 32.63827 30.87404 22.05327 25.66853 27.41108 31.59865
## [3433] 30.88163 25.46656 30.47030 31.61030 23.56875 32.41728 29.69173 35.13524
## [3441] 29.56322 30.23242 25.83827 28.84397 29.38840 21.83421 28.75562 26.61196
## [3449] 26.00386 28.86627 33.64730 36.64730 33.32964 39.34051 29.02728 22.27601
## [3457] 26.93065 33.33662 32.31332 27.28823 26.89968 22.82342 30.26483 22.24445
## [3465] 26.06236 30.96083 27.18454 16.07646 28.61106 26.90145 33.08846 31.47636
## [3473] 33.45169 33.04568 40.80288 36.50654 17.34592 28.99521 26.14737 24.50828
## [3481] 21.99954 42.07908 38.63276 29.10797 22.25737 34.19561 34.13051 30.07648
## [3489] 29.18767 28.56430 41.09315 30.47876 29.94037 27.10384 32.27974 26.37611
## [3497] 27.45086 27.29368 24.66771 29.80778 26.25883 33.55466 36.48835 32.94885
## [3505] 23.37287 25.55699 32.54770 27.51200 35.86726 34.09819 34.66803 24.73502
## [3513] 27.36779 31.84327 32.00050 26.41386 32.00507 22.51990 33.91521 33.86298
## [3521] 29.38075 32.37634 35.46754 28.86533 28.63423 27.95151 38.35738 29.65097
## [3529] 35.92391 26.56928 25.30472 34.58143 27.83641 27.04024 30.06218 30.87444
## [3537] 29.31677 31.12567 34.79911 27.10039 38.88246 23.13572 29.56526 32.55438
## [3545] 34.29374 32.18672 29.68107 35.91926 33.80100 27.71239 37.76846 27.54258
## [3553] 30.62117 27.90323 33.95016 31.41572 24.42839 32.27779 29.67837 35.69836
## [3561] 30.16350 31.71507 30.80020 30.08371 35.44817 32.57404 19.72972 31.18223
## [3569] 29.73234 35.89974 26.83386 32.68998 27.73211 31.70254 34.80640 28.28334
## [3577] 17.42526 29.72429 32.18023 24.52704 31.40536 22.61468 33.85607 27.69736
## [3585] 26.51301 26.85680 29.96796 27.38079 24.05093 30.55334 32.58254 24.04392
## [3593] 27.46437 32.04403 38.51105 28.81999 28.07446 32.59059 27.12974 34.16971
## [3601] 35.54647 25.35334 31.01842 24.22102 28.17120 26.70762 27.78471 33.03581
## [3609] 31.85558 37.23145 26.20444 37.62044 24.63665 29.64278 28.17095 28.02073
## [3617] 32.80159 31.36668 34.37716 37.67402 28.05414 27.95502 24.60926 28.03387
## [3625] 31.62494 30.43704 37.48818 29.32263 17.45658 27.20134 29.05126 29.22243
## [3633] 32.23122 21.70133 26.64990 37.47904 22.14584 28.17564 36.13220 30.78981
## [3641] 34.22367 24.14627 31.89466 28.58726 23.42465 31.34802 27.39179 37.68529
## [3649] 27.61426 24.94086 29.05543 36.71874 29.49488 30.15899 19.82600 44.29968
## [3657] 31.95850 30.81573 29.45684 37.51604 35.03001 13.73114 29.70576 31.16777
## [3665] 33.65945 29.04765 34.02588 30.19798 22.65468 20.05332 30.85953 28.77175
## [3673] 40.66508 35.40919 37.55343 21.91852 30.09825 30.32260 21.85009 32.28783
## [3681] 32.34897 31.82729 35.46974 33.97905 24.47523 25.55041 28.22453 37.38574
## [3689] 26.24854 21.13003 24.56326 23.87670 36.15417 24.76259 20.51600 36.06284
## [3697] 33.71382 29.33742 25.85885 23.25911 23.80178 28.07624 24.89293 29.65300
## [3705] 30.33409 26.86681 29.95883 33.27983 26.11631 27.89086 28.89871 31.27188
## [3713] 31.31270 26.80439 30.12158 31.11056 39.14302 30.16045 28.67086 25.63785
## [3721] 34.88812 29.90093 40.18322 25.10019 27.27144 32.76111 27.92180 30.06584
## [3729] 32.81001 25.67379 28.29409 31.86636 31.49497 23.99819 42.03214 31.67433
## [3737] 34.26270 39.84420 37.21555 30.91360 27.91690 34.74082 30.51584 27.22855
## [3745] 30.84887 36.10678 36.76040 23.69250 28.49395 32.32005 30.99623 24.65391
## [3753] 34.27441 25.17284 25.61568 36.85837 27.62644 30.08789 30.99961 34.63790
## [3761] 23.02357 28.54749 28.80116 28.06504 35.70474 39.99998 43.50551 26.30639
## [3769] 31.12466 31.49047 38.61664 31.03681 33.11235 24.02743 34.21091 29.84632
## [3777] 27.10272 25.62854 31.75418 45.50593 33.57501 24.76399 26.15838 26.44506
## [3785] 35.26676 22.00551 23.49231 24.24335 31.84596 28.75917 28.12810 31.78920
## [3793] 29.11801 29.41985 29.13389 37.73264 28.71069 37.99257 39.05539 28.10269
## [3801] 22.85368 27.18122 31.98405 37.82164 33.19471 27.12661 34.16808 39.73560
## [3809] 36.74039 28.51397 26.62690 25.35552 24.96204 27.97110 33.18226 20.47866
## [3817] 32.72899 29.62817 32.53513 29.37399 28.33750 37.50105 28.79599 28.83006
## [3825] 39.46792 32.05223 23.53628 32.48470 28.50674 32.63318 30.71274 21.42304
## [3833] 30.83073 27.27038 23.60505 25.74237 30.57586 22.95793 30.82660 32.59155
## [3841] 32.07551 34.19041 33.15111 37.59597 27.01925 22.40426 34.71822 38.65959
## [3849] 26.52723 26.75803 32.49172 31.63535 30.99062 26.30393 26.89918 31.68086
## [3857] 29.26579 33.91592 27.62987 34.10831 38.40648 25.36892 25.39836 35.01433
## [3865] 33.80356 40.64225 24.09871 32.37335 32.59132 26.39847 28.88187 32.74264
## [3873] 37.01265 28.11948 35.30273 24.92682 24.34251 17.00249 41.48248 25.24534
## [3881] 28.97838 26.59257 24.12681 26.80427 22.63473 29.55679 27.18705 24.40110
## [3889] 21.19024 28.33936 38.01971 34.64587 41.63158 15.51496 29.72760 29.02781
## [3897] 18.13711 39.36309 27.91742 27.32924 21.18118 34.43737 28.70982 26.98824
## [3905] 36.53147 29.02925 28.57157 34.20749 29.60039 29.07677 31.22860 30.94278
## [3913] 34.22957 35.88481 32.29501 22.53837 29.53882 35.61087 30.08694 35.54824
## [3921] 30.06070 24.53247 31.43458 24.58667 30.04070 29.37971 27.12734 27.94727
## [3929] 36.83461 30.05793 32.36975 22.22416 28.97188 23.37772 32.27914 32.36968
## [3937] 25.34232 35.84572 20.16499 25.62846 30.23880 29.93881 32.83873 28.63722
## [3945] 27.88771 31.99766 30.78362 37.33270 24.57129 35.97887 35.92108 35.20464
## [3953] 29.95025 28.95842 20.84200 37.97104 27.13153 27.36566 21.83395 32.94092
## [3961] 34.55649 23.94172 36.97532 28.16966 27.26639 25.57217 26.25957 21.24270
## [3969] 20.98814 32.82760 29.76631 44.24126 33.34442 30.71594 26.32622 30.71701
## [3977] 19.37448 30.16628 30.14373 42.67450 30.97382 35.26951 34.95838 27.09088
## [3985] 38.31351 33.46636 31.95114 29.78716 26.72773 38.37229 29.28883 23.27222
## [3993] 33.48299 37.84740 28.76446 22.59621 33.16510 40.40097 29.17140 24.84103
## [4001] 27.67986 41.50040 33.22349 23.09272 28.92528 28.22907 28.42454 35.03447
## [4009] 23.73258 28.16471 28.04951 34.13941 29.65379 40.31089 29.23032 36.30797
## [4017] 21.99056 38.08759 18.52915 28.03509 35.93356 26.53015 34.78683 22.90587
## [4025] 36.57044 31.67916 21.42136 29.61831 23.40018 25.58492 31.38142 35.81315
## [4033] 27.64840 35.41405 34.42902 27.26838 24.31222 31.66491 23.07699 25.32423
## [4041] 27.90304 35.72138 27.41780 20.38549 31.28159 26.91130 27.27275 27.44981
## [4049] 24.52141 32.96850 25.33927 40.84875 25.61111 24.92424 32.23578 27.79982
## [4057] 30.58358 32.78770 25.60275 20.87232 33.37270 34.37462 35.58985 27.90726
## [4065] 31.07783 28.59063 36.17252 22.06636 27.00655 26.02338 23.90076 28.14918
## [4073] 37.70032 27.54596 43.24517 26.98923 30.65885 25.31177 30.19370 33.05091
## [4081] 25.86173 33.81107 32.47513 31.03103 31.70704 42.98080 35.26513 35.57144
## [4089] 37.23839 28.88108 35.34344 27.33429 35.32230 36.35820 22.54210 28.93854
## [4097] 28.60222 38.70908 39.05596 20.54310 32.73749 24.80980 27.24770 31.90559
## [4105] 22.89795 24.71847 26.28999 24.94844 27.08125 29.88723 31.79047 22.66256
## [4113] 30.56831 33.33284 35.06866 26.72473 33.47309 28.73452 34.66995 29.25156
## [4121] 31.79852 27.32064 32.35903 22.23010 28.71811 30.83429 27.95779 19.48549
## [4129] 32.00225 36.62335 31.12971 30.32550 29.51503 19.62374 24.26556 29.15316
## [4137] 35.22104 24.83165 30.12578 34.08473 40.02387 32.09967 33.27681 39.63827
## [4145] 32.43232 25.01068 24.44660 29.08792 27.69928 28.98673 33.30242 36.85547
## [4153] 33.01160 25.54156 30.20007 25.75979 24.68167 33.45414 30.92350 36.40844
## [4161] 37.65721 35.59577 31.65070 31.16833 26.05786 38.36990 23.73183 28.24269
## [4169] 33.29403 24.58561 20.63713 29.47883 21.77050 31.32759 31.72013 32.26317
## [4177] 32.43711 26.79742 24.81744 29.61444 24.23079 37.37427 22.37767 29.04346
## [4185] 42.99249 27.74175 26.67747 29.96076 26.74242 32.39203 21.24912 23.77326
## [4193] 32.13021 37.44273 28.04908 33.69132 37.48901 29.30199 36.60527 38.52091
## [4201] 35.83433 29.41693 25.35495 23.16027 29.71020 24.07383 34.92667 28.18886
## [4209] 27.09464 34.97239 36.10316 31.64729 31.16165 30.76584 27.87382 37.11491
## [4217] 35.93918 12.77733 27.68254 28.25692 29.24597 36.65832 29.38606 25.53518
## [4225] 31.17835 32.22178 29.73473 25.25569 26.74940 25.81888 36.45517 33.36749
## [4233] 35.45658 27.94323 27.11188 25.95171 29.41597 23.81340 21.88976 30.96905
## [4241] 38.58891 32.77232 31.73720 34.65930 25.03576 31.09776 30.96151 33.89051
## [4249] 19.07775 20.95308 29.58436 28.18898 37.36046 35.75180 29.07752 21.41494
## [4257] 23.09721 24.48409 31.94969 34.59303 21.08845 29.80915 26.29396 23.59438
## [4265] 21.68856 36.95845 29.32694 30.96078 38.23013 38.18046 30.84335 39.50452
## [4273] 33.39802 29.43825 30.05969 32.90754 27.26547 33.53044 28.61388 32.37816
## [4281] 24.01407 36.30728 36.47585 23.76123 26.41290 29.30498 33.73063 18.82427
## [4289] 43.69222 30.64627 28.43841 36.41516 27.23388 29.70253 26.53364 25.22555
## [4297] 31.52437 28.23956 27.65128 27.43606 28.04814 32.02360 30.76798 22.74648
## [4305] 36.46851 29.92335 32.37145 29.91159 34.43118 26.28969 34.16529 30.60020
## [4313] 32.60765 24.92607 29.20996 36.68387 26.81597 27.07096 32.36078 23.52011
## [4321] 21.58276 31.19305 34.82354 29.36794 28.41293 28.22618 24.47937 33.83900
## [4329] 27.23956 25.13459 28.14769 36.38802 37.37022 33.47497 38.98598 39.38695
## [4337] 28.57499 29.91826 26.65773 27.65020 29.91195 31.68902 32.92359 40.89625
## [4345] 25.24140 22.75455 32.21380 30.01036 34.20342 34.33371 28.03589 26.94730
## [4353] 26.15665 29.68598 25.32748 36.38593 33.94324 25.55660 34.68326 17.23947
## [4361] 28.85087 24.09603 23.51747 25.75129 29.65990 32.63614 25.71497 28.71443
## [4369] 31.95470 27.90416 35.73437 25.62257 31.25040 31.43712 31.40248 29.46379
## [4377] 20.05831 32.62211 36.75832 29.23368 31.85429 31.30673 32.37029 31.34239
## [4385] 32.01603 35.89533 33.13635 30.18786 30.28133 34.44025 32.07428 33.04530
## [4393] 32.73643 35.07713 40.36669 30.64739 35.66087 26.79154 30.70499 29.92199
## [4401] 33.52316 24.14637 32.58906 34.36742 37.04670 21.81497 24.06606 24.85773
## [4409] 27.30094 33.88728 16.07338 31.23392 28.29832 30.63395 36.99047 39.04429
## [4417] 29.34639 35.15824 28.87486 31.05866 25.07000 31.24039 22.57433 27.70762
## [4425] 35.52937 32.69170 26.03033 29.56523 31.48697 29.39025 40.61555 31.17206
## [4433] 35.49221 30.32132 34.50283 23.89865 28.07956 29.53246 26.62464 32.21491
## [4441] 31.39643 29.11918 31.63792 24.56049 33.88921 29.63452 19.56177 26.37956
## [4449] 38.18346 33.32987 28.40231 23.81047 30.98230 26.15906 26.70726 28.64296
## [4457] 31.71588 24.62306 29.67513 37.55736 34.56680 34.78909 34.07670 25.03613
## [4465] 31.57551 27.32438 32.89618 19.48671 30.43778 26.83425 34.45966 31.10055
## [4473] 28.50935 47.20120 32.29001 34.98415 20.47890 40.89170 27.74998 27.25041
## [4481] 27.04092 35.89068 27.63531 34.32107 25.58728 30.62402 31.43035 31.39015
## [4489] 38.92232 32.90833 31.61098 17.75331 34.09736 31.13492 29.23769 27.35919
## [4497] 30.81516 33.51459 38.67969 29.32222 27.73411 27.40051 35.73321 32.96499
## [4505] 31.26892 32.58281 30.73183 28.09979 35.71437 36.53698 37.97031 27.09457
## [4513] 28.76255 22.77239 27.05706 24.37552 30.89666 33.37078 27.50053 35.28194
## [4521] 29.03200 30.80684 28.87005 24.15556 36.89742 30.84237 25.88376 34.58188
## [4529] 32.62930 34.53736 40.70743 32.27117 32.42224 24.01848 32.94607 28.50199
## [4537] 29.90793 28.31412 26.76014 30.56406 26.87673 31.79953 27.75257 35.44752
## [4545] 33.58185 28.45414 27.58109 27.39397 28.23701 26.77478 25.63433 30.14356
## [4553] 26.30826 29.05358 35.48755 31.85924 42.00304 35.16249 32.00769 20.83983
## [4561] 30.33530 26.13512 31.81026 36.63214 38.07147 25.47936 32.25926 32.12207
## [4569] 25.87431 31.44327 27.68556 25.64857 30.46523 29.36194 24.32659 32.80138
## [4577] 29.10294 23.04215 22.43779 27.31086 36.73127 28.54059 20.66821 31.81756
## [4585] 30.91689 25.83177 28.98450 26.18936 24.00386 25.04793 27.66458 31.89151
## [4593] 30.70560 36.96787 24.24006 34.17263 35.55175 44.09334 30.19015 30.28146
## [4601] 28.45465 36.15990 36.79929 33.54803 26.71041 26.91336 34.55797 29.56196
## [4609] 30.28604 29.05813 27.93535 30.74265 15.93394 33.44794 28.05709 30.54230
## [4617] 34.74219 36.23123 38.32559 31.43025 18.74136 26.81492 26.04397 28.99801
## [4625] 28.85640 30.09498 32.46332 27.05279 27.66671 31.65875 29.48297 24.66432
## [4633] 34.29583 34.71513 29.66255 31.30416 23.19618 29.83703 29.09833 25.77541
## [4641] 31.69227 25.01149 28.10212 24.41770 21.52654 31.35504 27.85271 30.81046
## [4649] 31.37097 36.99152 36.45979 27.30297 27.54555 32.61194 34.95552 32.44841
## [4657] 29.87793 29.89718 32.04567 33.80183 24.05867 27.89872 33.62163 33.45046
## [4665] 40.49406 31.47566 25.76842 40.28591 30.41438 32.33627 26.68941 26.79215
## [4673] 19.52622 24.31185 32.51458 25.86637 31.81415 38.35691 29.40128 37.08510
## [4681] 27.93516 34.29676 24.39872 36.44593 40.85323 27.78320 34.10189 25.86471
## [4689] 33.35445 32.03521 24.19736 34.18247 29.50203 31.62411 35.76625 36.76793
## [4697] 24.35846 35.13950 27.31072 36.10561 29.58455 35.30942 20.12403 25.11468
## [4705] 28.11797 34.48010 25.25703 31.57568 32.27743 28.12236 29.22920 26.15533
## [4713] 22.34430 31.08031 39.01161 36.84851 39.49633 34.73242 32.46044 34.94530
## [4721] 30.45721 32.21542 31.29020 31.74463 33.99950 25.98766 17.40886 28.71619
## [4729] 30.80380 20.32110 32.01356 27.99782 34.95574 32.05001 27.57961 35.87482
## [4737] 27.67003 29.90042 30.45468 30.32394 28.91842 27.03299 22.45492 39.74810
## [4745] 26.89972 30.20675 29.24968 36.13493 33.44456 33.07809 21.10771 32.37456
## [4753] 24.27038 30.16789 30.29906 31.59279 26.23823 31.95062 25.73982 18.04599
## [4761] 27.07772 22.76331 24.21320 35.36884 34.59149 32.91896 26.39568 37.00248
## [4769] 24.62353 38.51809 29.75942 29.17233 32.04027 28.02146 35.18806 24.04709
## [4777] 29.96607 34.05221 39.16617 24.19763 36.60763 24.61112 31.31068 33.26322
## [4785] 37.25314 32.53324 33.74439 27.68966 29.50496 31.22697 31.53379 32.83899
## [4793] 30.59746 29.30903 32.55298 31.47546 29.36440 26.27919 31.64914 34.51498
## [4801] 36.79667 30.05659 27.70747 29.33451 22.77813 26.18466 25.17286 36.08174
## [4809] 34.80939 30.45109 20.48705 37.16167 35.35754 26.55098 35.75164 23.54337
## [4817] 19.86677 27.92785 34.29521 22.70232 35.97971 31.71223 28.46545 28.29888
## [4825] 23.64747 28.95832 24.92615 32.58676 29.02982 20.56014 33.20057 28.27802
## [4833] 34.12911 43.11484 31.74383 31.25063 29.61348 27.14391 30.14035 36.44162
## [4841] 20.04464 30.05998 24.59982 30.53879 33.19819 29.37616 29.11547 39.50740
## [4849] 34.30052 37.70613 27.86395 26.65269 30.71079 36.48205 32.66022 23.60887
## [4857] 27.19070 32.81631 27.29676 17.72921 24.58259 25.57729 26.83509 34.57632
## [4865] 30.06333 26.27088 36.68408 25.63599 29.64736 32.05257 26.23421 31.05179
## [4873] 31.53311 21.15282 32.83541 31.59001 22.24495 27.77094 37.14940 22.62993
## [4881] 29.45350 34.49177 36.78574 30.89596 33.38904 30.27741 38.67086 24.35054
## [4889] 27.27674 28.34037 31.04913 31.88125 32.54775 26.19549 27.86883 25.74594
## [4897] 30.83727 32.42996 28.20993 30.62437 29.24588 33.43411 35.73289 29.30115
## [4905] 29.22939 28.94140 25.90048 31.13111 38.65109 30.93497 27.13562 44.71120
## [4913] 27.06945 30.27080 30.96438 23.50983 23.70976 29.65746 30.96797 35.39001
## [4921] 36.91073 23.97440 33.57726 27.07583 27.78126 29.21608 30.35508 33.88139
## [4929] 25.65947 24.32831 35.17274 20.44594 38.56592 27.02242 20.75997 21.41469
## [4937] 25.95250 26.75139 28.04336 35.21039 32.20268 35.21471 28.26665 31.10142
## [4945] 25.82995 19.79549 22.45173 31.87156 36.49515 30.04017 29.37546 28.22773
## [4953] 19.81312 31.27141 30.40558 29.30199 33.16015 35.51907 20.74653 19.92810
## [4961] 32.05846 18.61155 28.11849 28.20318 24.56355 25.83896 29.00653 39.64671
## [4969] 31.37979 24.48778 18.76692 39.34764 28.38991 35.40330 28.74995 37.56253
## [4977] 26.32225 38.19426 26.86090 30.93547 32.05388 32.92497 27.01128 28.10998
## [4985] 31.45931 35.92755 34.25989 17.18159 34.19902 31.40602 25.07599 21.15965
## [4993] 34.20648 27.82128 24.09400 25.47886 20.84816 30.30062 27.57263 27.86178
hist(D_Atencion, main = "Distribución de tickets en promedio", col = 22)

mas35 <- mean(D_Atencion > 35)
mas35
## [1] 0.1494

Interpretacion

Las duraciones de atención son aproximadamente normales con media ≈30 min y sd ≈5; la proporción que supera 35 min es ≈0.159, y el histograma con la curva teórica debe mostrar buen ajuste si la suposición normal es adecuada.

Tickets Escalados a Segundo Nivel

Un 20% de los tickets requieren ser escalados a un nivel superior. Suponga que en una hora se reciben 10 tickets.

a.Simule 1000 horas de operación.

b.Cuente cuántos tickets son escalados.

c.Grafique usando la función barplot

tickets <- rbinom(1000, 10, 0.20)
tickets
##    [1] 1 3 0 2 5 5 1 3 3 2 4 2 2 2 1 2 3 1 2 2 3 1 1 0 3 5 4 2 2 1 3 3 2 3 0 5 1
##   [38] 1 0 1 4 1 2 3 2 0 0 3 3 4 2 0 2 1 3 2 1 2 2 0 5 1 4 2 2 2 5 1 0 2 2 4 4 2
##   [75] 4 2 6 1 1 5 3 3 0 3 3 2 2 1 1 1 3 1 3 3 3 1 3 3 2 2 2 2 7 1 3 2 2 3 1 2 2
##  [112] 4 4 3 1 3 1 3 4 2 1 4 0 2 1 2 2 2 2 0 2 1 2 0 4 3 1 4 2 1 1 2 2 0 4 0 1 1
##  [149] 1 0 3 2 5 2 1 1 2 3 3 2 2 2 3 2 6 4 2 6 2 4 1 1 2 2 1 2 0 1 3 3 1 2 6 1 2
##  [186] 2 3 1 4 1 3 3 2 0 1 1 4 2 1 2 2 2 4 3 3 0 0 3 3 2 0 3 2 2 1 1 2 1 1 1 2 1
##  [223] 1 3 3 2 2 2 0 3 3 1 2 5 0 2 0 1 3 2 3 3 2 1 0 4 2 2 1 0 6 1 1 2 2 3 1 2 2
##  [260] 5 3 2 2 3 3 4 4 3 1 2 2 3 3 3 2 3 4 2 2 2 1 1 1 4 1 1 1 1 2 3 3 2 0 1 1 2
##  [297] 3 6 3 3 0 3 0 0 1 1 4 1 0 1 1 1 3 1 2 0 3 4 2 3 1 3 2 6 2 1 4 3 2 2 0 2 0
##  [334] 1 1 1 6 0 4 1 2 2 1 0 2 5 2 1 4 2 2 3 1 2 4 1 0 4 3 3 3 3 2 2 2 2 1 2 1 1
##  [371] 1 3 1 1 1 1 0 3 1 1 1 1 6 1 1 4 1 1 2 1 2 2 3 2 3 2 0 2 2 1 0 3 0 1 1 2 5
##  [408] 1 4 3 2 2 1 3 2 2 2 4 1 4 3 3 5 1 3 1 1 3 3 3 1 2 4 1 2 1 1 2 5 1 3 2 0 2
##  [445] 3 1 1 3 1 1 3 3 1 3 1 3 5 2 1 1 1 3 4 3 4 3 1 1 1 1 2 0 4 1 3 4 3 1 1 3 3
##  [482] 3 2 3 4 1 2 3 1 1 2 1 2 2 0 2 4 2 1 4 4 1 3 2 4 1 1 3 1 6 1 0 2 0 3 3 0 1
##  [519] 6 2 0 0 2 2 1 1 1 2 4 1 2 2 2 2 1 2 3 2 2 2 5 0 4 0 3 1 3 2 2 1 1 1 0 4 1
##  [556] 4 1 3 0 1 2 1 3 1 4 3 1 1 2 1 2 2 1 0 2 2 0 1 1 3 2 3 2 1 0 3 3 2 2 1 4 2
##  [593] 2 1 2 4 3 4 3 1 3 2 0 1 1 2 1 2 2 4 3 2 2 0 1 2 5 4 1 1 2 4 2 3 1 1 2 1 2
##  [630] 1 3 1 1 2 2 3 0 5 2 3 1 1 2 3 4 1 1 2 3 1 3 4 0 1 0 1 2 4 1 2 0 2 3 3 1 3
##  [667] 2 2 1 2 2 1 1 1 2 1 2 4 2 2 2 1 4 2 4 2 3 2 0 2 4 0 0 3 1 5 4 1 0 1 1 1 1
##  [704] 1 1 2 2 1 4 1 3 5 0 1 2 4 0 4 4 1 2 0 2 3 2 2 2 2 1 2 3 1 2 0 1 1 2 3 2 4
##  [741] 2 1 2 2 5 3 2 1 3 2 2 2 2 1 5 1 2 2 4 2 3 2 0 3 1 3 2 1 2 1 3 3 2 2 1 2 5
##  [778] 1 1 0 3 2 1 3 2 4 2 1 0 1 1 2 1 2 1 2 1 1 1 2 2 2 5 4 1 0 1 0 1 1 2 1 3 0
##  [815] 1 1 2 2 1 3 1 2 2 4 2 1 3 2 5 3 4 0 3 2 3 1 2 0 2 3 0 1 1 0 4 2 2 2 2 2 5
##  [852] 3 3 3 2 1 1 3 4 2 0 2 2 3 2 2 2 3 2 2 3 1 0 2 2 3 1 0 2 3 1 4 1 0 2 1 3 4
##  [889] 4 1 2 2 3 2 2 1 0 1 1 2 4 1 3 2 0 2 3 4 3 4 3 1 2 3 2 2 3 1 3 1 1 1 0 1 2
##  [926] 2 1 3 0 3 2 2 1 0 3 2 1 3 0 4 3 0 2 4 1 0 1 2 1 2 1 2 3 3 0 5 4 1 2 1 3 3
##  [963] 1 3 5 3 1 3 2 1 1 2 2 0 2 2 3 3 3 5 2 2 1 1 3 2 0 1 1 1 3 1 2 3 2 2 3 6 2
## [1000] 0
escala <- sum(tickets)
escala
## [1] 2029
hist(tickets, main="Distribucion Tickets escalados a segundo nivel ", col = blues9)

freq <- table(tickets)
barplot(freq,
        main = "Tickets escalados a segundo nivel",
        col = blues9,
        xlab = "Tickets escalados en una hora",
        ylab = "Frecuencia en 1000 horas")

Interpretacion

Al simular 1000 horas con 10 tickets/hora y 20%, los escalados por hora siguen una binomial; por lo que el barplot se concentra típicamente en 1–3 escalados/hora.

conclusion

Cada distribución aporta un componente clave para representar de forma realista el sistema de colas.

Poisson: modela el número de llegadas por hora, reflejando la naturaleza discreta y aleatoria de la demanda en el sistema.

Exponencial: describe los tiempos entre llegadas, capturando la aleatoriedad y el carácter continuo de los intervalos, además de su propiedad de memoria nula, fundamental en colas.

Normal: se usa para los tiempos de atención, que suelen concentrarse alrededor de una media con cierta variabilidad, reflejando el rendimiento promedio de los servidores.

Binomial: representa la probabilidad de que ciertos tickets se escalen a otro nivel, mostrando cuántos de los casos requieren un procesamiento adicional. En conjunto, estas distribuciones permiten simular con fidelidad la dinámica de llegadas, esperas, atenciones y derivaciones dentro del sistema.