Soal Latihan PSS

1. Modelkan pendapatan bulanan dari 1000 pegawai yang berdistribusi normal dengan rata-rata pendapatan Rp10.000.000,- dan standar deviasi Rp200.000,-.

mu <-10000000
sigma <-200000
n <- 1000
normal_data <-rnorm (n, mean=mu, sd=sigma)
normal_data
##    [1] 10385901  9957184 10041531  9751929  9489257  9878404 10083181 10005064
##    [9] 10303403  9849978 10170442 10099242 10311178  9799610  9993602  9998530
##   [17]  9744543  9418104  9768114  9891367  9972510  9633033 10075037 10185140
##   [25] 10313140  9878282  9900680 10243365 10087984 10208433  9601951 10331249
##   [33]  9921805 10384673  9689175  9447421 10328743 10084760 10413253 10145763
##   [41]  9973226 10144338 10364669  9979414  9677878  9822096 10457350  9877690
##   [49]  9864423 10036470 10048742 10032062  9876047 10091744 10135704 10179854
##   [57] 10131696  9987703  9875951 10156562  9878428 10129619 10012271  9825774
##   [65]  9776120  9813312 10215567  9994766 10072745  9815365 10006404  9971292
##   [73] 10359823 10180193  9867765  9920232 10075393  9834646 10213180 10076488
##   [81]  9735261  9954624  9683316  9757404 10144773 10011229  9644252  9844292
##   [89] 10152321 10005672  9815409  9696545 10213403  9878470 10114227 10158280
##   [97]  9910849 10469910 10344691 10240654 10014629  9985003  9757407 10296234
##  [105] 10014971  9859082  9919167  9916675 10186583 10085629 10311060  9751163
##  [113] 10012451 10206005  9919681  9940607  9708450  9670738  9827062  9928874
##  [121]  9966670 10207186 10190140 10288285 10017971 10255897 10350980  9739377
##  [129] 10137622  9818189 10043181 10053666  9893956  9811075 10470542  9879057
##  [137]  9997004  9621010 10030178 10185432 10295820  9466603 10090140  9610773
##  [145]  9945283  9853594  9929133 10243552 10086720 10117106 10088312 10035710
##  [153]  9843749  9781596  9855796  9467149 10173548  9894884  9685893  9938265
##  [161] 10235990  9875283 10294009  9650477 10000588  9472401 10021881 10292423
##  [169] 10238128 10179630 10159510  9825350  9998796  9877101  9636592  9977307
##  [177]  9894353 10170200 10135407  9846006 10045672  9686545 10098345 10115198
##  [185] 10044014  9994253  9969763  9702843  9942120  9928750 10037000  9670577
##  [193] 10349996 10310399  9829830  9835743 10261306  9909290  9976681  9687349
##  [201]  9729059  9740566 10267534  9833704  9999169 10285161 10032915 10060225
##  [209] 10310667  9749408  9699653 10071883  9968453 10274230 10077233  9871700
##  [217] 10370186 10249227  9756026 10175524 10043497  9932826  9718894  9872492
##  [225] 10040756  9929482 10105378 10067868 10286174  9919980  9324385  9965423
##  [233] 10150849 10204302 10209560 10224226  9897809 10218811 10263395 10300537
##  [241]  9833440 10016614 10168415  9746024 10116424  9941680  9842615 10103576
##  [249] 10112803 10157733 10227777  9800613  9912690  9908456  9711748  9798010
##  [257]  9977583 10258895  9669864 10074813  9708514  9877347 10203974  9840167
##  [265] 10020157  9960865 10090832  9831311 10103771 10025188 10155450 10113948
##  [273] 10490994 10197971 10174732  9535541 10476002 10212752 10146680 10030647
##  [281] 10104395 10242125  9918406  9773517 10148718  9999992 10038370  9983309
##  [289]  9804112  9961459  9986287  9908914 10107653  9945084 10047691 10238280
##  [297]  9884320  9981518  9665241 10032813 10243199  9865237  9822504  9833959
##  [305]  9588066 10039961  9822995 10106067 10309050  9920344  9992990  9989809
##  [313] 10139754  9580698  9913143 10028888 10078663  9983357  9701143  9999995
##  [321]  9969643 10020958  9983769 10104851  9782361 10384040 10251954 10112370
##  [329]  9975052 10055789  9790695 10344572 10086190 10176814  9990031 10253316
##  [337]  9650359 10244845  9875787  9951611  9872043 10219379  9947377 10293112
##  [345]  9699261 10059496 10152203 10287937  9818710  9901324  9736396 10078872
##  [353]  9933309 10269725 10111539  9945855  9817263 10204828  9829308  9747965
##  [361] 10098066  9849496 10027991  9671507 10082933 10259316  9556186 10014159
##  [369] 10404331  9934378 10143097 10148186 10042858  9998535  9679652 10035073
##  [377]  9841262 10153713  9657079 10310970  9597221  9862017  9557526 10069477
##  [385]  9687212  9998871 10219693  9752951  9877367  9722758  9721747 10005141
##  [393] 10533223 10164510 10090933  9867408  9805498  9857647 10108208 10051780
##  [401] 10188526 10392123 10055119 10095101  9853810  9924863  9978860  9780783
##  [409]  9869170  9753951 10073190 10215177 10181087  9841654  9959798  9973900
##  [417]  9863653 10175027  9762151  9853154 10078173 10311993 10044102  9755678
##  [425] 10200137  9898062  9908804  9995280 10279954 10111389 10120924  9956196
##  [433] 10184353  9752873  9832194  9877078 10007779 10098623 10384063  9983290
##  [441] 10241513 10289734  9872976 10022399 10185554  9904520  9912626  9867017
##  [449]  9929011  9877660 10167273 10029142  9560021 10205521  9823000  9912376
##  [457]  9985829  9762098  9836824  9902722 10223018 10361199  9955380  9795978
##  [465] 10569210 10067095  9939188 10069500 10230865  9984856  9925422  9875470
##  [473]  9735653  9900251 10017773  9604052  9876904  9694705  9872454  9927915
##  [481] 10045509 10058670 10128330 10120777  9934892 10144376 10326102  9790047
##  [489] 10088345  9945592 10209239 10021690  9921354  9800361 10104887  9987717
##  [497]  9655391 10008490 10309287  9967656 10153713  9985665 10016604  9900609
##  [505] 10283166 10126673 10036970 10045401  9957886 10122972 10019839  9725239
##  [513]  9859677 10072879 10351781  9791195 10182889 10160750  9960984  9824586
##  [521]  9954528  9956119  9986640  9871131 10105472 10254014 10181858 10236616
##  [529] 10021667  9876941  9828202  9957092  9994413  9951320  9692041 10255843
##  [537] 10236528  9773468 10163465  9897552  9776990 10236333 10112874  9866126
##  [545] 10139983  9874412  9685024 10082805 10107278  9867236  9988484 10293905
##  [553] 10005061 10084494  9695363 10208437  9949455  9837245 10246246 10034957
##  [561] 10045808 10116738  9829750  9811161  9789049  9909934 10331511  9800896
##  [569] 10058233 10014889 10112758  9982947  9751169 10130636 10566768  9901188
##  [577]  9764325  9706299 10142268  9932936  9686547  9924451 10053122 10329374
##  [585]  9677950 10190904 10368505 10143642 10215834  9976104 10062526 10346337
##  [593] 10256384  9937335  9886585  9861692  9671762 10084368  9828854 10205506
##  [601] 10081104  9996308 10075294 10092483 10119567 10340738  9943557 10356593
##  [609]  9890670 10062882  9832666  9888682 10092578  9932754 10035799 10264250
##  [617] 10081929  9792520  9931889 10084893 10274886 10279313  9695924  9760852
##  [625] 10116575 10255155 10023388  9986324  9862563 10140495 10219188 10106392
##  [633] 10214896 10089069  9870126  9977159 10055541 10372292  9810161 10208701
##  [641] 10096693  9934880  9866259  9973030  9927540 10028820  9995057 10127996
##  [649]  9994010 10224160  9952309 10148597 10434914  9784464  9942110 10153723
##  [657] 10036733 10369767  9762226  9832613 10104110 10357052 10144763 10195209
##  [665]  9879558 10414983 10143782 10154761  9997216  9843542  9993647  9810602
##  [673]  9765047  9878075 10039753  9931286  9904462  9848671 10050138 10130778
##  [681]  9880070  9744100  9885875 10129236 10063283 10005349 10060026  9713732
##  [689]  9763771  9669163  9881707  9755904 10319810  9842766  9807651  9921398
##  [697] 10057431  9860837  9669478  9575242 10031653 10228541 10152350 10382607
##  [705]  9956275  9997546 10027704  9972074  9987039 10010282  9811948  9955783
##  [713]  9791050  9912447  9887438  9847521  9810223  9886108 10010444  9765042
##  [721] 10226019  9744760  9948664 10253055 10012751 10014075 10066378 10430103
##  [729]  9975791  9815846 10161476  9921148  9856059 10287066 10132552 10064971
##  [737]  9931623  9912734 10075747 10287387 10478930 10214435 10010276  9567341
##  [745]  9970000  9785835  9989638 10134474 10143962  9959578  9784368  9669723
##  [753]  9868055 10390348 10004589 10082974 10318038 10066858 10220011  9896092
##  [761] 10384009 10020730  9899390  9600008  9911773 10128480 10001624 10082435
##  [769]  9885500 10288665  9919206  9594503  9808670  9896352  9965940  9979371
##  [777] 10189038 10056173 10065331  9703776 10141105 10086388 10221479 10183315
##  [785]  9969938  9861637  9895431  9817143 10193035  9887851 10277600 10069424
##  [793]  9886096 10523369 10170224 10036619 10122566  9806349  9927999 10242103
##  [801]  9771708 10166851  9986247  9836593  9725579  9688024  9842180  9747012
##  [809] 10083657  9678853 10079414  9687010 10296676  9732906 10168824  9966363
##  [817]  9836007 10144060 10078950 10208758 10073716  9810587 10149507 10544309
##  [825] 10034526  9968222  9958680 10075280 10213076  9649424 10135288 10054636
##  [833]  9569443  9881343  9867338  9654714  9771300  9315200 10182310 10082507
##  [841] 10287569 10077540  9897861  9914797  9677152  9764839  9673930 10062898
##  [849]  9815502 10126766 10071877 10016263 10229405 10189294 10268653  9613009
##  [857]  9950581  9844802 10046150 10050878  9989523  9822224  9997049  9780536
##  [865] 10012479  9699399  9965567 10016808  9863574 10126931  9563753  9866028
##  [873] 10033187 10083797 10166992 10091347  9952570 10031547 10253666  9898147
##  [881]  9955559 10131862 10096109 10114680  9895856 10083419  9875842  9887735
##  [889]  9922984 10344754 10081085 10048036 10187409  9885025 10445047  9607286
##  [897] 10196024 10103749  9983393 10181017 10009811  9740796 10201737 10094308
##  [905]  9983152  9919789  9749165 10023815 10291231  9994258 10236083 10063780
##  [913] 10162277 10245734 10219956  9783755 10059537 10018192 10001686 10169962
##  [921] 10237312  9901428 10071361  9705594 10037658  9874701 10174623 10159782
##  [929] 10036470 10035166  9791268 10172562  9936164  9932428 10171043  9817563
##  [937]  9912735  9746070  9927600 10185124  9825319  9931882 10156715  9927019
##  [945]  9904210 10109232 10018675 10291507  9978048  9862181 10054296  9685975
##  [953]  9722454  9746016  9857716  9880259  9850576  9923205 10301355  9940567
##  [961]  9669335  9772700 10412247 10219041  9807896  9841300  9878779 10134164
##  [969]  9793221  9830641 10036359  9743548  9833563  9657270  9833543  9854638
##  [977]  9786184 10052659 10256282 10036543  9792804 10305119 10049971  9955769
##  [985] 10011663 10236706 10070477 10272052  9991957  9995762  9854827  9856884
##  [993]  9985004  9923104  9679921 10093308 10376518 10003601  9820861 10098787
hist(normal_data, breaks = 30, main = "Histogram Distribusi Normal", xlab = "Jumlah Kejadian", col = "gray")

2.Modelkan jumlah pelanggan yang datang setiap hari ke suatu restoran yang mengikuti pola distribusi poisson dengan laju kedatangan pelanggan 35 pelanggan perhari.

lambda <-35 #Pelanggan
n <- 30 #perhari
poisson_data <- rpois(n,lambda)
poisson_data
##  [1] 32 39 45 24 35 30 33 44 30 34 36 36 32 47 38 37 31 36 40 38 26 44 37 26 46
## [26] 31 31 36 33 35
hist(poisson_data, breaks = 30, main = "Histogram Distribusi Poisson", xlab = "Jumlah Kejadian", col = "gray")

3. Buatlah dua kasus Anda sendiri dengan melibatkan distribusi variabel random dari teori yang telah dipelajari.

3a Distribusi Uniform “Modelkan durasi waktu pelayanan di sebuah loket tiket yang berdistribusi uniform antara 2 hingga 10 menit.”

set.seed(123) #untuk kunci biar nilai tidak ganti ganti
n <- 1000
uniform_data <- runif (n, min=2, max=10)
uniform_data
##    [1] 4.300620 8.306441 5.271815 9.064139 9.523738 2.364452 6.224844 9.139352
##    [9] 6.411480 5.652918 9.654667 5.626673 7.420565 6.581067 2.823397 9.198600
##   [17] 3.968702 2.336476 4.623366 9.636029 9.116315 7.542427 7.124055 9.954158
##   [25] 7.245646 7.668244 6.352528 6.753136 4.313278 3.176909 9.704194 9.218392
##   [33] 7.525642 8.363739 2.196909 5.822368 8.067676 3.731263 4.545448 3.853006
##   [41] 3.142400 5.316371 5.309795 4.950764 3.219558 3.110449 3.864273 5.727700
##   [49] 4.127781 8.862622 2.366649 5.537601 8.391399 2.975194 6.487584 3.652251
##   [57] 3.020253 8.026463 9.160363 4.995702 7.320922 2.758725 5.071757 4.195069
##   [65] 8.517120 5.588131 8.480515 8.499116 8.354739 5.518654 8.035801 7.033769
##   [73] 7.681459 2.004998 5.802533 3.760951 5.038532 6.902168 4.814383 2.889083
##   [81] 3.948956 7.344445 5.341174 8.305567 2.822917 5.479142 9.879656 9.144409
##   [89] 9.091752 3.400421 3.045566 7.224815 4.748132 7.254065 4.562986 3.501529
##   [97] 8.258354 2.748760 5.734232 6.092044 6.799912 4.662588 5.908904 9.635791
##  [105] 5.863219 9.122802 9.315505 6.869880 5.285518 3.176758 9.482398 4.409831
##  [113] 2.485765 9.581816 7.764770 3.138354 6.394277 9.632730 6.683867 5.236082
##  [121] 7.183148 4.558565 4.461760 3.758141 4.955911 9.873754 3.233618 2.728352
##  [129] 3.135255 7.520057 6.954052 9.131153 7.383993 7.896622 6.169086 7.278708
##  [137] 8.574444 8.290252 9.838575 5.515452 4.493618 5.275800 2.083737 3.470796
##  [145] 8.741835 3.849294 3.912800 2.613529 3.965789 7.857082 8.779625 5.980218
##  [153] 5.103272 3.971592 2.888772 5.119955 6.575483 3.735142 5.558144 3.743925
##  [161] 6.018397 4.831237 7.199881 4.997712 4.843563 6.269504 7.922675 3.768824
##  [169] 5.301969 4.125493 7.039784 3.470628 8.909153 7.972544 7.346277 6.944143
##  [177] 4.977904 6.238685 8.997459 6.654001 8.718142 4.499585 7.666323 4.120142
##  [185] 6.754746 5.850318 4.120262 6.516723 9.305506 9.214995 4.193333 4.571862
##  [193] 9.885127 6.959946 9.498513 5.732262 5.254661 7.273843 3.218773 6.582936
##  [201] 3.909808 9.698871 6.810926 6.120238 5.220587 9.041972 4.912735 4.305914
##  [209] 3.365162 3.377374 5.856341 4.023719 3.730038 7.395011 2.381309 7.606825
##  [217] 4.815109 5.271552 8.567611 9.350859 4.260227 9.688838 7.827155 7.491001
##  [225] 2.422752 5.161761 5.822763 6.482026 7.586093 9.325468 6.946810 5.427372
##  [233] 6.336643 2.467828 4.086855 5.177216 3.581958 8.655421 3.223098 8.427348
##  [241] 6.374609 7.298541 3.373588 7.064443 4.494958 7.796435 5.191519 9.754851
##  [249] 9.739187 7.813620 4.057734 3.774303 6.744365 4.140171 6.248563 8.282333
##  [257] 3.344486 5.235193 5.772610 8.944854 9.405664 9.055820 7.393495 9.601336
##  [265] 6.131559 6.612152 4.690650 4.778597 2.160194 6.022504 8.968347 2.050406
##  [273] 2.576457 3.313690 8.162673 7.881474 9.775005 5.731779 2.595076 7.190545
##  [281] 8.068745 3.096849 5.172677 3.799883 2.463668 5.167142 2.519426 3.807091
##  [289] 2.437033 7.362256 4.381934 2.805773 2.575233 9.043525 8.033979 8.532847
##  [297] 9.857123 2.828797 2.792335 8.390653 8.276602 2.075439 8.232527 7.835125
##  [305] 7.041055 5.847287 3.253095 2.065724 5.619667 5.938347 5.116697 5.717328
##  [313] 7.706232 2.442415 4.838265 8.422498 8.685671 3.901995 4.831889 8.855083
##  [321] 8.830107 4.367164 3.176387 7.631936 2.830454 2.269822 9.995236 2.278998
##  [329] 4.707130 9.320510 6.937882 4.290283 7.902379 8.672434 4.514166 5.940532
##  [337] 7.578990 7.131699 7.151383 9.822827 5.317883 2.955238 6.208237 3.800587
##  [345] 5.891294 4.961718 9.866801 5.106553 3.833959 6.986380 3.092322 9.739756
##  [353] 6.120574 3.304563 6.975218 9.887633 7.350172 5.351327 4.586760 8.682043
##  [361] 3.150536 3.542528 9.173909 4.464956 4.906404 8.271572 3.547029 2.142126
##  [369] 5.252863 5.865341 5.374760 4.742470 8.931867 5.640864 6.270119 9.710747
##  [377] 8.196732 3.671011 4.470295 9.770740 6.679201 8.086589 4.981675 8.153551
##  [385] 6.301417 9.311964 3.482372 4.257747 2.759699 3.683897 9.816792 4.370417
##  [393] 7.807864 8.285503 2.843342 3.916757 4.164359 2.808468 2.943311 9.929892
##  [401] 9.888434 3.096540 9.242477 6.610415 5.163591 5.598420 7.652015 2.660022
##  [409] 4.714501 7.446300 4.535594 8.652549 3.721377 5.983591 4.208397 3.536187
##  [417] 9.604970 4.573804 5.827651 2.223941 6.379676 7.153922 6.770108 4.575499
##  [425] 9.128914 7.010056 4.423239 5.105637 3.283801 8.900415 9.624810 6.509157
##  [433] 4.636379 9.972938 3.878557 6.901376 2.865428 5.896261 2.795567 3.289326
##  [441] 4.263943 6.670979 7.853661 3.324167 8.931742 7.668593 8.083196 3.176673
##  [449] 4.864456 7.386660 6.190581 4.798414 3.924246 2.465534 3.892958 9.120623
##  [457] 8.494619 7.980131 3.239294 2.997937 9.797806 5.489040 5.712133 3.322385
##  [465] 6.679492 4.166224 3.840775 7.529663 4.262819 8.483185 2.751333 8.576241
##  [473] 5.419426 8.047098 7.299084 5.556219 7.017169 2.003723 3.737948 7.638978
##  [481] 3.721332 8.511470 4.462111 7.501941 9.461449 2.926237 3.021646 7.425791
##  [489] 5.431589 8.675208 9.771505 2.563912 5.678282 7.612681 2.695521 9.943552
##  [497] 4.024792 2.396307 7.490600 8.295419 4.828849 4.931532 4.296801 2.639783
##  [505] 4.923634 3.424111 6.288430 6.031590 9.560281 4.730570 5.717710 2.660249
##  [513] 8.880855 5.165285 7.887195 3.373947 5.638093 8.161638 2.501200 8.520652
##  [521] 4.409140 4.917368 4.496902 2.298960 6.150439 7.432107 9.225868 2.204214
##  [529] 9.912626 4.423101 9.513107 7.500861 5.576296 8.531825 2.315994 7.912253
##  [537] 4.789756 8.634007 6.284331 4.196363 8.407586 2.733158 8.656862 4.214841
##  [545] 8.024881 9.713221 2.651732 8.834918 8.417906 5.081389 4.620779 3.639510
##  [553] 6.555061 9.104442 6.237713 6.695669 7.325881 6.239140 6.078743 2.129284
##  [561] 2.381680 9.434805 8.154284 3.608645 7.202092 7.230133 5.162030 8.498439
##  [569] 6.376187 9.081061 6.426512 9.248385 6.699691 5.387709 9.596683 7.672303
##  [577] 5.306443 2.146913 6.533873 5.920508 9.029392 8.502822 8.832800 4.943168
##  [585] 8.991599 3.210705 4.254493 7.333641 9.819069 6.661918 6.212721 2.486258
##  [593] 9.752311 2.961897 2.706906 9.046113 6.066965 4.699960 9.154677 2.255773
##  [601] 3.897838 7.491923 3.806547 4.547957 3.391871 8.411437 3.170256 8.581739
##  [609] 4.647983 4.993355 7.037963 2.773070 2.175950 9.944358 6.671511 8.254585
##  [617] 9.135169 8.038924 9.833630 2.353177 9.227207 8.924007 8.203261 5.014531
##  [625] 2.336864 4.915289 4.190010 8.803740 4.899214 4.435822 8.073083 8.758677
##  [633] 5.663372 7.837053 2.832629 3.759865 9.631610 8.016300 8.551643 5.342217
##  [641] 6.750708 8.390588 9.107269 5.081533 2.722577 7.005949 7.965090 2.683028
##  [649] 4.404141 6.916497 8.023456 9.336457 5.806004 6.536956 7.892963 8.859579
##  [657] 9.273172 2.451058 6.023266 4.804358 8.764449 8.451481 2.938650 7.701492
##  [665] 3.882151 2.599654 9.485169 3.257343 7.176459 3.388142 2.160592 6.170511
##  [673] 2.690223 4.264019 5.363479 6.698225 8.453555 3.615962 5.675397 5.585145
##  [681] 7.869982 7.718038 8.649776 9.092529 9.621157 6.404934 6.178686 3.365586
##  [689] 5.834172 4.030566 2.318245 7.078404 6.316487 3.120828 4.269694 6.664245
##  [697] 3.320207 2.770409 5.428905 4.846093 8.759468 4.081060 2.185156 8.899196
##  [705] 4.676704 7.054311 6.371410 5.011556 3.486984 5.431525 7.046189 6.166739
##  [713] 7.276971 7.834887 5.894583 5.075653 2.054668 2.029474 9.959492 2.863095
##  [721] 5.349353 7.743076 7.940313 8.975991 6.862944 8.049627 8.777930 6.902237
##  [729] 8.345793 2.182837 5.335316 8.999059 7.178776 9.395832 3.377801 4.526502
##  [737] 8.434050 9.911707 4.579084 2.009533 9.937365 3.186819 2.394914 6.778828
##  [745] 4.570628 6.223432 8.363376 2.551461 7.560166 9.589052 4.222155 3.995253
##  [753] 3.275484 2.573040 6.459501 5.918696 5.954339 9.106973 2.293635 3.629951
##  [761] 6.110249 3.890719 6.603485 5.858063 6.554822 3.153219 3.165670 5.298265
##  [769] 7.464082 7.227423 9.327891 8.504905 7.407120 8.459993 3.024515 4.006228
##  [777] 4.652376 5.258154 7.082941 8.468896 4.070410 8.555737 2.123821 7.235206
##  [785] 8.493757 5.690951 3.627337 2.150146 4.265062 9.322181 9.469572 6.340253
##  [793] 3.755380 5.915422 8.409190 5.261045 2.829693 4.244521 4.891730 4.073959
##  [801] 5.765455 4.926764 2.970176 2.375949 4.102370 9.749129 5.907964 5.822576
##  [809] 7.990343 7.341122 2.395325 7.560842 4.906093 9.073069 8.202378 3.113629
##  [817] 4.360074 3.008662 6.719213 6.493405 7.509769 4.490166 6.844695 9.928275
##  [825] 7.945639 2.606857 5.609351 2.428295 4.716444 7.871617 2.032856 8.175276
##  [833] 5.703802 7.766723 7.332046 6.576590 7.630504 7.257768 4.314817 2.777916
##  [841] 9.699371 7.890672 6.901788 2.959431 6.402072 4.102050 9.186887 2.073440
##  [849] 3.889879 3.040357 4.609865 7.811191 9.933962 7.721068 6.035518 5.488381
##  [857] 9.590602 2.961452 2.601161 9.112172 5.395617 2.338885 7.179537 5.748953
##  [865] 6.943409 4.166523 3.258362 2.914034 6.061463 6.384258 3.125170 3.358152
##  [873] 8.095883 6.219160 8.887915 7.388440 2.104328 7.545591 9.133710 7.054801
##  [881] 2.858357 9.368522 7.402899 3.188750 7.962735 9.540791 5.366267 4.381785
##  [889] 4.075413 3.783051 6.525235 8.053201 7.356828 6.372182 8.491709 8.073334
##  [897] 2.160548 5.047230 2.407041 8.383223 9.389594 6.340787 8.818917 6.668503
##  [905] 7.346589 6.090517 8.102005 9.226898 8.563796 2.571455 2.031171 2.417589
##  [913] 8.932481 6.609961 4.510741 9.675726 6.729550 6.251275 5.071493 4.556426
##  [921] 8.467090 2.335356 4.909942 8.852776 7.583573 7.475892 4.784120 6.437455
##  [929] 3.097949 8.279452 9.094901 3.632767 8.164984 6.770904 9.661358 3.269507
##  [937] 6.207794 8.985211 8.957649 2.189509 9.807118 5.921794 5.113363 5.340440
##  [945] 2.743407 3.294474 5.243332 4.734516 5.322060 4.432420 6.482244 3.246993
##  [953] 9.652638 2.351733 4.977262 9.700923 7.163420 2.490101 5.279567 5.407241
##  [961] 6.065265 5.596799 6.986091 3.119823 9.263571 6.555546 6.386245 2.934621
##  [969] 8.096227 5.826956 8.255751 2.368212 8.558757 4.155268 4.262803 7.145772
##  [977] 9.584951 2.055988 4.812941 5.352366 5.663014 7.693541 9.358784 7.016886
##  [985] 9.217454 8.058633 3.102867 3.226039 3.530497 5.465481 2.697754 3.790240
##  [993] 6.577189 5.201353 6.523723 8.636991 7.136911 5.131990 7.676639 2.870593
#plot Histogram
hist(uniform_data, breaks=30, main = "Histogram Distribusi Uniform", xlab="Nilai", col = "gray")

3b Distribusi Binomial “Modelkan jumlah pegawai yang mendapatkan bonus tahunan dalam 12 tahun kedepan dalam suatu perusahaan, di mana setiap pegawai memiliki peluang 60% untuk mendapatkan bonus. Asumsikan terdapat 50 pegawai dalam perusahaan tersebut.”

n <- 12
n_pegawai <- 50  # Jumlah pegawai
p_bonus <- 0.6  # Probabilitas mendapatkan bonus
binomial_data <- rbinom(n, size = n_pegawai, prob = p_bonus)
binomial_data
##  [1] 32 29 33 26 26 30 27 32 35 31 30 31
hist (binomial_data, breaks = 30, main = "Histogram Distribusi Binomial", xlab= "Jumlah Bonus", col="gray")