$\mathrm{with}\left(\mathrm{Statistics}\right)\:$

$X≔\mathrm{RandomVariable}\left(\mathrm{NonCentralBeta}\left(3\,10\,2\right)\right)\:$

$A≔\mathrm{Sample}\left(X\,1000\right)$

$A≔\left[0.298749038049262\,0.160496089457820\,0.324127131506297\,0.290206966234071\,0.537220813028702\,0.225806784723962\,0.323656644296660\,0.224075578813581\,0.139203619269065\,0.144713788483976\,0.162170989508424\,0.163919547946135\,0.404909255935277\,0.412044080355721\,0.348094710719217\,0.331157628015845\,0.295105552445666\,0.193177607186590\,0.400373007871060\,0.130898465329786\,0.195185443150392\,0.376386657719254\,0.0871782064096334\,0.251491595894991\,0.620308537159290\,0.277296883006483\,0.437779720079008\,0.152921471824328\,0.235265960512657\,0.136378679376410\,0.252714543040837\,0.429187139161412\,0.374226424815941\,0.302801012538073\,0.154684837824354\,0.356035545600185\,0.364686121969868\,0.222026138646806\,0.416210165850863\,0.190871901430894\,0.303495622736175\,0.388708191892459\,0.0738816418814309\,0.202500852820107\,0.104659380876615\,0.354257658106483\,0.208477128105665\,0.382524697999167\,0.176268646694049\,0.120614541942356\,0.183628521334067\,0.105348882457644\,0.322876552017316\,0.199044448794066\,0.351886259492336\,0.541017418216111\,0.400262939648824\,0.289634276207489\,0.136612348557671\,0.429606223713469\,0.311378762025564\,0.237936821359705\,0.172682713203868\,0.587851925462311\,0.222871011457330\,0.107369139160512\,0.389056233892129\,0.345966852569480\,0.284198344230638\,0.149470287155729\,0.328740299838745\,0.265539779603986\,0.156255385188462\,0.329479875992677\,0.257023076440196\,0.240540840738284\,0.182587825634373\,0.426257901690903\,0.104729408184404\,0.232881839115843\,0.305170632862252\,0.145058470328692\,0.261365502435354\,0.0936526620439586\,0.225512556744244\,0.270964742331662\,0.350022007063060\,0.261919227464596\,0.230771541043555\,0.337509810728467\,0.156134695828703\,0.410821484550497\,0.0689142635904654\,0.142203876621286\,0.286281908777234\,0.251579621833158\,0.193769396232071\,0.138728250394330\,0.100386830245882\,0.350686151055232\,\dots \,\text{⋯ 900 row vector entries not shown}\right]$

$\mathrm{Bootstrap}\left(\mathrm{Mean}\,X\,\mathrm{replications}=1000\,\mathrm{output}=\left['\mathrm{value}'\,'\mathrm{standarderror}'\right]\right)$

$\left[0.282229356166131\,0.00399644288773034952\right]$

$\mathrm{Bootstrap}\left(\mathrm{Mean}\,A\,\mathrm{replications}=1000\,\mathrm{output}=\left['\mathrm{value}'\,'\mathrm{standarderror}'\right]\right)$

$\left[0.275083017014237\,0.00384426186874453797\right]$

$\mathrm{Mean}\left(X\right)$

$-1762148409+4790016000{\ⅇ}^{\mathrm{-1}}$

$\mathrm{evalf}\left[30\right]\left(\mathrm{Mean}\left(X\right)\right)$

$0.28226746351970438745$

$\mathrm{Mean}\left(X\,\mathrm{numeric}\right)$

$0.2822674635$

$Y≔\mathrm{RandomVariable}\left(\mathrm{Cauchy}\left(0\,1\right)\right)$

$Y≔\mathrm{\_R0}$

$Z≔\mathrm{RandomVariable}\left(\mathrm{Cauchy}\left(1\,2\right)\right)$

$Z≔\mathrm{\_R1}$

$B≔\mathrm{Sample}\left(Y^2+Z^2\,{10}^5\right)$

$B≔\left[1.32132274088696\,7.13485084698864\,9.95631282472426\,10.7508151401134\,5.16622263014864\,56.9468331340168\,77.0241397872509\,488.787009958679\,75.1548940203382\,0.0457749994739054\,8.23027702966309\,2.45150974710626\,45.2464988258304\,1.23619182280984\,12.3761324894683\,3.21707384976341\,273.615015693467\,5.96219698844479\,0.860431105271889\,0.305122978658424\,7.52920327212682\,2.07256467494591\,10.8070815024917\,0.394430182726394\,19.3647570921962\,0.461755743457343\,6.24947599300303\,35.9864514138204\,2.67450203582295\,1.11744947782124\,195.557563933831\,0.0208535989823628\,3.30404958487121\,14.7641389037312\,68.2019138584949\,7.13908974267329\,21.4868999654586\,112.153409360027\,20.0821006324119\,1.00955124266587\,22.6997643045565\,301.588167115830\,9.08732884165008\,1428.69647130412\,106.801064245015\,34.6040182577412\,42.3065232455375\,1.46416572945411\,27.6371248343772\,6.19919326889794\,631.357700920488\,9.66358067072234\,2.72451268812064\,15.8651635674137\,25.9561529493941\,85658.4898234459\,3.59006552648215\,721.450092993733\,7.44843615212807\,32.8907665534797\,69.9386364891994\,19.8179826337963\,14.6471711656540\,140.991079663595\,4.44992272594081\,118.929896846639\,9.23111260596482\,79.9062905993280\,49.8924022414821\,0.171457515992941\,66.5417981810520\,388.930721959224\,2.76608294543268\,2758.95321626323\,8.07598807653631\,8.84264595290888\,107.144002184456\,10.3110572416457\,7.41556584460897\,53.1177020373101\,0.00322764364053573\,219.543615893359\,77.1015624199154\,2.71494708348748\,47.4094889091689\,17559.9273444821\,581.720994705186\,4.28944838265206\,13.3850469840742\,6.87480101410390\,49.3806015960269\,4.62774610319884\,128.008178020047\,1.01250372667289\,0.469692691233665\,1.90436257347381\,243.474478532672\,1859.63495612918\,44.1125836419248\,28.6650544559048\,\dots \,\text{⋯ 99900 row vector entries not shown}\right]$