X is a random variable that follows the normal distribution with mean = 4 and standard deviation = 1.5.
X ~ N(mean=4,sd=1.5)
Let Y = X + 5
X = rnorm(n=1000,mean=4,sd=1.5)
print(X)
## [1] 5.54486182 3.82663992 2.49659289 4.41897524 7.19572786
## [6] 3.63170370 4.48630530 4.87003744 3.08519322 2.81337892
## [11] 2.03162436 5.68800874 6.08243347 4.38338502 3.07825957
## [16] 5.60337234 2.49725097 6.21990025 4.70987838 3.20501189
## [21] 2.17120108 -0.88818713 3.30889652 6.14034773 3.52191298
## [26] 4.74104448 4.67583115 4.06986869 3.67424213 4.31999042
## [31] 5.50335652 5.00241052 2.49066934 3.22065039 2.89163566
## [36] 3.36942758 4.01556865 3.72540583 3.33254880 2.78471407
## [41] 4.61191182 6.31870568 4.41386170 0.98772336 6.98305228
## [46] 3.92433664 4.97662018 2.97460663 3.15640545 4.27169684
## [51] 3.68443024 5.79558153 3.87968911 2.89246893 2.21128315
## [56] 4.60010044 4.58492126 2.24871274 4.84346321 2.95249820
## [61] 1.33862801 3.40341056 5.26317758 4.38580240 2.96547649
## [66] 0.11785257 4.73976494 2.87891198 6.00668491 7.00371748
## [71] 3.54886376 7.90474138 4.84893117 3.89506183 4.14947247
## [76] 6.71833012 5.57104897 2.19685469 5.61747747 2.96012646
## [81] 3.67654088 5.08382980 3.44820160 4.34488944 2.43903174
## [86] 5.78542617 4.82875348 4.77980835 5.22667648 4.70550789
## [91] 5.25168820 4.83234897 5.85542490 5.95149328 6.13365157
## [96] 3.97943255 4.08284076 5.81396528 2.80386340 3.49475239
## [101] 4.44288959 4.73963694 2.85126119 2.91485637 5.42333203
## [106] 3.29972175 5.48739526 3.32700423 1.76821895 2.14172155
## [111] 3.33967566 2.25758735 3.37825183 3.19486834 4.23350275
## [116] 6.17479061 3.12978203 6.84185921 4.08633274 1.88308228
## [121] 3.79239518 5.12088474 4.22309350 3.12823853 4.67316489
## [126] 5.96602093 4.71661678 1.93265903 7.45126949 2.04366711
## [131] 8.01547862 6.30738443 4.37032156 2.23296572 4.68235919
## [136] 2.45322089 1.20308287 3.86687468 6.83633414 1.98625600
## [141] 3.40745811 2.69877206 5.59139377 4.48059998 2.01124427
## [146] 0.94068500 5.90353362 3.09494895 3.53933061 2.02979236
## [151] 7.48159226 4.69148312 4.32502523 4.55549198 1.11206281
## [156] 5.18172080 1.40961296 4.05946149 3.70980385 6.98695467
## [161] 2.85340922 5.42775885 5.32534861 4.26603118 4.17658259
## [166] 4.13018433 4.75753065 4.29048753 3.13902816 2.69446766
## [171] 2.92181476 3.79002822 2.39862956 5.22719748 5.47218800
## [176] 3.69069834 4.09218186 5.21228028 1.82281546 2.34208046
## [181] 4.37377559 4.22010449 0.16595803 -0.05589890 5.16086137
## [186] 4.40914190 6.03772687 4.04149883 4.66080179 5.11418306
## [191] 5.75374587 3.42526198 6.31515780 4.99400312 3.41568885
## [196] 4.28913167 5.51981271 6.70535520 2.34809178 4.49514369
## [201] 4.20474289 0.97203898 4.86115964 3.63856121 1.68782395
## [206] 3.10503582 6.12492466 0.84476468 3.63731645 4.55631549
## [211] 5.55032661 4.60680334 2.26056893 6.91191641 4.38394479
## [216] 3.70660269 3.51560707 3.61043202 1.81620232 3.76809751
## [221] 3.18320042 2.27263660 4.31435955 2.81585818 6.82168044
## [226] 4.41213488 3.96478200 5.15840874 5.10223961 4.30225926
## [231] -0.61314550 2.82422681 6.67321313 3.88549910 4.03846154
## [236] 2.72811191 5.23285132 5.57597437 6.05232800 7.04068567
## [241] 4.63030168 2.43994106 5.90999598 2.79744936 0.99169394
## [246] 1.59660345 1.04567380 3.30440654 1.85577126 4.55699846
## [251] 3.94420313 5.36108990 4.95197449 2.29301501 2.99314813
## [256] 7.86009058 3.42494279 0.78640920 3.49701462 2.88799157
## [261] 6.71293529 2.06859918 6.02016430 0.14322807 0.83138453
## [266] 4.66284468 2.10961719 4.29725653 2.60765094 4.60878207
## [271] 1.10307705 5.95422672 2.20738114 2.40858592 5.01340154
## [276] 4.68372154 5.32296440 1.89658711 6.23527354 5.45983731
## [281] 3.61519104 2.89473456 2.93526145 6.50672585 2.11840797
## [286] 4.82287100 3.74157537 3.26805595 4.77190541 1.62974582
## [291] 2.93684211 4.81518382 3.06761205 4.56595640 3.88803314
## [296] 3.87881363 4.80628667 1.94127875 4.23054533 4.05700807
## [301] 6.23390684 4.23897377 3.43498117 4.04421828 3.95492292
## [306] 2.79783425 6.46832557 4.85740165 -0.07620504 2.93509338
## [311] 4.90989442 2.69774023 3.20594802 3.09494614 2.97084308
## [316] 4.42377627 2.96195692 1.30692050 3.92168235 3.74380579
## [321] 2.03105863 3.61577975 2.34428817 3.28792997 4.56043507
## [326] 4.38104757 3.07011625 2.83957900 2.48403244 3.09253667
## [331] 4.51852970 7.15749779 1.35858044 5.23320664 2.80761877
## [336] 5.13961937 5.86885958 8.10663814 5.61977169 5.00254759
## [341] 4.89879537 3.11616286 4.06490296 6.33355591 3.98606344
## [346] 3.33663757 4.08279061 2.54291248 4.37802631 4.23090692
## [351] 2.13462121 6.10147404 5.05442410 3.03455592 7.30940433
## [356] 4.92495096 3.24664345 4.84949229 7.44253578 4.27491032
## [361] 1.39615758 5.55064120 1.21285901 4.00181643 4.45518737
## [366] 1.87966012 5.49342859 3.90773124 4.75323509 4.39139170
## [371] 6.57048004 2.64668708 3.35761243 0.99124105 4.14185637
## [376] 3.05847964 4.22621801 3.78815077 5.89170929 4.68676022
## [381] -0.66972324 2.83011316 5.21426932 3.20163613 5.53841001
## [386] 5.72459251 4.45557345 1.56482817 6.95141805 4.13181933
## [391] 6.08412606 2.87356837 6.54441085 2.73997982 4.66563475
## [396] 3.47944118 3.28599437 3.97844344 4.59500415 4.48000676
## [401] 5.86577436 1.51585441 2.50982221 3.76669081 3.95429542
## [406] 3.26035929 4.06830354 3.87680305 2.65640548 2.32180423
## [411] 3.86122443 5.31814661 3.69140210 1.85358509 3.40044212
## [416] 2.56512045 4.11924820 3.15123472 2.73464515 3.69992853
## [421] 2.92016759 4.87767963 3.09590726 5.82019094 4.12640436
## [426] 3.92905134 6.84318494 2.39509242 5.01456801 4.80408961
## [431] 4.62087522 5.70885655 2.51536994 4.54794971 3.39816023
## [436] 3.73865690 6.45114091 5.49673077 4.35785967 5.09514152
## [441] 6.58680779 4.31300436 4.17510248 3.98912888 1.00523586
## [446] 2.26554552 4.98629893 3.48165630 1.75889074 3.95267852
## [451] 5.01567127 2.31747625 3.81278765 2.51775993 4.54048205
## [456] 3.77281297 2.30209664 5.54578090 5.33879039 3.45346657
## [461] 3.05859122 2.62400865 4.86781863 1.79183434 7.34387326
## [466] 3.22840104 4.02967407 3.22033008 5.14887938 4.30228442
## [471] 3.70075925 3.23159439 8.30313070 5.60680397 0.25620544
## [476] 2.73170514 3.64683133 3.31968378 3.54198684 4.97147298
## [481] 4.50344287 1.98374735 5.65797129 3.40912542 2.26198181
## [486] 6.73552454 1.94709180 4.70277413 4.65871464 0.81320561
## [491] 3.15475339 4.10449067 4.91378173 0.44257339 5.19877456
## [496] 5.14832004 1.46323623 4.98616687 3.20961096 2.90986530
## [501] 2.88530920 2.44268995 3.77990317 3.85687979 2.97438607
## [506] 6.22548489 3.11638953 6.89455924 4.77073821 4.99725834
## [511] 5.04671850 3.33048149 2.50871942 1.43698970 2.43654605
## [516] 2.03776123 1.63625212 6.48006990 5.37379221 6.48271652
## [521] 2.09815592 1.53395713 2.45843653 2.62385399 3.67102899
## [526] 2.67836223 3.22779986 4.21702607 5.40103676 1.84513661
## [531] 5.60470138 6.49057529 4.15762263 7.10963000 4.85172142
## [536] 1.07402253 0.81281723 3.80919034 5.44793676 2.69523854
## [541] 3.85181901 5.46177358 4.88406471 4.82111816 4.01287231
## [546] 4.91855892 3.09280547 5.76711182 4.52031837 2.40108217
## [551] 3.88933547 6.06883444 2.92765702 5.44489866 5.16271283
## [556] 5.80540088 4.57935914 5.29648890 4.14685060 2.48841930
## [561] 4.34710073 3.72508595 3.77447815 2.45138864 5.09378977
## [566] 4.96075060 7.73456584 3.30801679 4.24238871 4.89461982
## [571] 1.03368053 4.84327658 4.61034633 3.90615917 2.68123524
## [576] 2.10950793 0.63778036 3.58119702 5.10637435 3.99443738
## [581] 3.61459524 1.13219339 5.91770711 4.11168941 4.85862636
## [586] 5.23672487 3.67128763 3.88376482 6.10241283 3.69775737
## [591] 3.26481682 4.00282585 3.02467324 6.61037102 5.68679037
## [596] 4.90290903 5.29407332 3.63884366 5.88952925 4.28693765
## [601] 2.93501798 4.74594831 3.65243629 3.43562627 4.15043648
## [606] 3.62677949 0.92625507 4.24412976 5.77633811 4.87498454
## [611] 3.75525644 5.33546706 5.65267912 3.95469383 3.24321127
## [616] 3.12321751 2.69110987 6.63048664 5.37775292 1.71292560
## [621] 5.02000783 2.90407219 5.02628902 3.43400616 2.82796764
## [626] 2.26662298 4.99793853 6.54063449 3.51419332 3.47718710
## [631] 1.91243149 2.21346398 2.40187282 4.25491295 2.85324964
## [636] 1.58951493 3.37190761 4.13465460 3.96589376 7.19283593
## [641] 4.48352294 4.82718707 2.28603036 5.04469021 7.13340286
## [646] 4.35436921 4.34582250 1.97558975 3.14190896 8.39979729
## [651] 4.85931825 4.51671984 3.30344657 4.80523538 2.18658738
## [656] 3.68947212 4.92135357 3.81002351 3.64397974 4.20882126
## [661] 4.97216376 4.38173349 1.54147490 2.96988778 6.06781072
## [666] 2.99487919 5.23969903 5.65986894 5.41434158 0.72005982
## [671] 3.95168333 4.11362009 6.61333501 3.08285884 2.92694388
## [676] 5.54665969 2.78081376 4.74740801 5.43422468 6.75037044
## [681] 4.64920933 5.98344621 5.97934819 3.33206110 5.65185499
## [686] 2.58867076 6.78597250 3.93126860 1.89007355 3.38474712
## [691] 4.34929685 1.06840861 5.82900726 5.56178016 5.26976454
## [696] 2.25646328 4.29010262 4.00497402 2.92161805 6.96685252
## [701] 1.74260534 4.05625991 3.85585887 5.42092378 5.41133283
## [706] 3.26605097 2.06364034 6.66614404 3.15308603 3.15125070
## [711] 3.60503466 2.53293514 0.99940239 3.79809680 4.09262959
## [716] 5.79035910 6.28606842 2.83501373 6.06742775 6.35725270
## [721] 3.52503942 5.53371569 1.67226409 1.59715514 3.27845725
## [726] 4.83608880 1.20224730 4.55150863 6.28725490 5.30505944
## [731] 4.16741123 4.90258233 3.76863422 2.84694451 3.62110084
## [736] 2.71876210 5.62931409 5.43204721 4.87398796 4.38135424
## [741] 2.02407644 2.94151535 1.41658312 4.85681619 6.64576473
## [746] 1.41070562 2.16878588 6.22888449 4.95127482 2.72213917
## [751] 2.41022253 1.41210740 3.66291498 4.84370190 3.32159565
## [756] 4.92046569 4.59242045 5.84890372 4.01867384 3.66097685
## [761] 5.74558256 6.25169328 3.22220969 4.73247399 5.90855756
## [766] 5.41931263 6.32211831 5.17889147 2.85227752 5.58937307
## [771] 3.64641458 3.63602565 6.11567783 5.48356142 5.53326850
## [776] 3.84830771 5.51374165 3.42764167 5.29887555 5.08131359
## [781] 5.45698871 2.12373500 2.49382397 0.82453534 5.43118943
## [786] 5.23528412 1.90081059 1.68460487 6.39319535 5.23507310
## [791] 3.19536486 5.46295747 5.63410888 6.51024201 2.98162241
## [796] 3.98802168 2.41389194 3.94828395 4.57890164 5.54084587
## [801] 3.08184478 3.60492616 2.10902620 3.37432616 1.33138079
## [806] 4.91369694 3.86956752 3.55739283 0.18136047 4.33103557
## [811] 4.31216113 4.52627481 2.46148545 5.96926877 5.91891278
## [816] 4.39487217 -0.84339942 3.85430734 1.85097617 4.06734640
## [821] 5.37959963 5.00028433 6.11720971 5.89549416 3.67371507
## [826] 2.75341951 5.23035675 3.97104816 5.37612164 3.01175368
## [831] 2.26227944 2.66764535 5.37572458 5.80258999 4.56476884
## [836] 3.87692091 3.47990183 4.72351254 1.20045964 6.61169721
## [841] 2.50597306 7.32455186 4.21238212 1.18491329 4.34052570
## [846] 2.77569731 1.22054955 1.87409078 1.16308232 2.86122304
## [851] 4.34484451 5.76636119 7.80758045 5.32460569 4.39357316
## [856] 4.62203116 4.52572476 4.71678345 2.54350037 3.11797626
## [861] 3.91695024 3.96303904 5.37948714 6.40838115 5.37886856
## [866] 5.28436233 4.76433650 3.61191666 5.92096415 3.23291258
## [871] 1.76844937 5.96645803 2.35227096 4.04420128 2.91262752
## [876] 4.41513886 3.59086809 3.57573560 4.51517842 3.68034190
## [881] 4.07612990 6.28386255 4.76281642 5.61199773 2.30179790
## [886] 1.02355101 4.09359701 2.38069145 1.62717013 3.65129257
## [891] 6.31695998 1.35138933 2.15118058 3.79270245 4.46575067
## [896] 4.94879849 4.05606536 3.67982869 4.23164583 4.61148691
## [901] 3.00646952 5.65645049 4.41338950 0.95881028 2.62225168
## [906] 2.56482570 4.39138955 4.26417750 3.66857644 4.29659360
## [911] 4.75977391 4.01828477 4.15679102 2.82973809 2.79727012
## [916] 4.17638673 0.98920873 5.18636860 4.26643266 1.60960913
## [921] 5.43165886 5.05986349 3.75598817 3.80087681 2.75932257
## [926] 3.19901017 7.53078446 2.84421488 3.90990782 2.76974818
## [931] 3.45644596 6.10773587 3.33227554 1.90867871 4.42928288
## [936] 4.78732609 4.62541457 4.16082512 2.28176584 5.33743226
## [941] 5.14531287 6.27224338 7.07282399 5.51592955 4.35868950
## [946] 1.36849188 2.84899423 2.67544255 3.20880673 2.61851507
## [951] 3.75306880 2.92442238 4.70055625 3.08135399 4.82376100
## [956] 1.77035144 2.65686946 2.09261659 4.95892065 4.83783170
## [961] 6.60614203 4.08397887 3.06933294 3.76923005 1.48566731
## [966] 1.16929091 4.08728632 4.78391238 6.51603061 3.37237761
## [971] 5.71336380 3.77760349 2.22747450 5.79076331 2.09749105
## [976] 2.71116266 3.79677259 5.25478782 3.36383078 3.48661528
## [981] 7.53820357 3.89684152 4.17809079 3.67938011 3.02334377
## [986] 0.93545722 4.76448124 4.36981540 1.23834348 3.09212390
## [991] 1.66276886 3.52190830 5.39364650 6.39209894 4.29292538
## [996] 2.66990794 3.32071072 1.91196965 1.25926325 4.77103222
X = rnorm(1000,4,1.5)
Y = X + 5
Mean
mean(Y)
## [1] 9.049838
Standard Deviation
sd(Y)
## [1] 1.502616