Solution Library

Ans. Geometric xxxxxxxxxxxx Geometric xxxxxxxxxxxx formula xx P x x x x- x GeeksforGeeks xxxx the xxxxxxxx given x x xxxxxxxxxxxx these xxxxxx in xxx formula xx get x X x P x P x P x The xxxxxxxxxxx that x... ....... Geometric xxxxxxxxxxxx Geometric xxxxxxxxxxxx formula xx P x x x x- x GeeksforGeeks xxxx the xxxxxxxx given x x xxxxxxxxxxxx these xxxxxx in xxx formula xx get x X x P x P x P x The xxxxxxxxxxx that xxx third xxxxxx attempt xxxx be xxx first xxxxxxxxxx one xx Hypergeometric xxxxxxxxxxxxxxxxxxxxxxxxxx distribution xxxxxxx is x X x m x mxN-mn-xNn xxxxxxxxxxxxx Given x m x x xxxxxxxxxxxx these xxxxxx in xxx formula xx getP x P x - x Now xx have xx calculate xxxx binomial xxxxxxxxxxx The xxxxxxx for xxxx binomial xxxxxxxxxxx is xx a x a-b xxxxx excel x calculated xxx binomial xxxxxxxxxxx for xxxx of xxxx Substituting xxxxx values xx the xxxxxxxxxxxxxx formula xx get xxx probability xxxx exactly xx these xxxxxxxx samples xxxx flu xx References xxxxxxxx B xxxx S xxxxxxxx D xxxxxx B xxxx S xxxxxxx M xxxxxxxxx J xxxxxx L xxx S xxx Taub x Introductory xxxxxxxxxx e xxxxxxxx https xxxxxxxx org xxxxxxx books xxxxxxxxxxxxxxxxxxxxxxxx e xxxxxxxx under x Creative xxxxxxx Attribution xxxxxxxxxxxxx May xxxxxxxxxxxxxx Distribution xxxxxxx GeeksforGeeks xxxxx www xxxxxxxxxxxxx org xxxxx hypergeometric-distribution-formula xxxxxxxxxxxxx May xxxxxxxxx Distribution xxxxxxx Mean xxx Examples xxxxxxxxxxxxx https xxx geeksforgeeks xxx maths xxxxxxxxxxxxxxxxxxxxxx Read More

Ans. A xxx f x for x continuous xxxxxxxx x xx non-negative xxxx that xxx probability xxxx x xxxxx in xxx interval x b xx the xxxxxxxx of x over xxxx interval xxxxxxxx vs xxxxxxxxxx n x A xxxxxxxx probabili... ....... A xxx f x for x continuous xxxxxxxx x xx non-negative xxxx that xxx probability xxxx x xxxxx in xxx interval x b xx the xxxxxxxx of x over xxxx interval xxxxxxxx vs xxxxxxxxxx n x A xxxxxxxx probability xxxxxxxx is xxxxxxxxx by xxx probability xxxx function xx considers xxx countable xxxxxx and xxxx value xx associated xxxx probability xxxx The xxx is xxxxx by x a x b xxxxxx Given xxxxxxx time xxxxxxxxxxxxxx time xxxxxxxxxxxxxxx of xxxxxxxx is xxxxxxx to xxxxxxxxxxxxxx b-a xxx a x b x P x dx x x x P x P x Given xxxx Formula xxx exponential xxxxxxxxxxxx CDF xx P x x x e- x The xxxxxxxxxxx Distribution xxxxxxxxxxxx to xxxxxxxxxx n x P x - xx P x - xx P x - xx P x - x X xxxxxxxxxxxxxxxxxx vs xxxxxxxxxx n x Stattrek xxx https xxxxxxxx com xxxxxxxxxxxxxxxxxxxxxxxxx discrete-continuousThe xxxxxxxxxxx Distribution xxxxxxxxxxxx to xxxxxxxxxx n x Courses xxxxxxxxxxxxx com xxxxx courses xxxxxxxxxxxxx com xxxxxxxxxx chapter xxxxxxxxxxxxxxxxxxxxxxxxxxxx Read More

Ans. Question xxx probability xxxx to xxx each xxxxxxxxxxx is xxxxxxx and xxxxxxxxx this xx a xxxxx discrete xxxxxxxxxxx distribution xx the xxxxxxxxxxxxx did xxx sum xx it xxxxx mean xxx probabilities xxx... ....... Question xxx probability xxxx to xxx each xxxxxxxxxxx is xxxxxxx and xxxxxxxxx this xx a xxxxx discrete xxxxxxxxxxx distribution xx the xxxxxxxxxxxxx did xxx sum xx it xxxxx mean xxx probabilities xxx inconsistent xx could xx either xxx to xxxx outcomes xxxxxxx or xxx to xxxxxxxxxxx estimating xxx probabilities xxxxxxxx Given xxxxx Juice x small xxxxxx Juice x medium xxxxx Juice x Large xxxxxxxx value xxxxxxxx value xxxxxxxx value xxxxxxxx deviation xx calculate xxxxxxxx eviation xxxxx we xxxx calculate xxxxxxxxxxx X x X x X x X x X x X xxx X xxxxxxxx deviation xxxxxxxx Given x p x Binomial xxxxxxxxxxxx formulaP x k xx pk x p xxx P x - x X xxxxx excel xxxxxxxx The xxxxxxxxxxx is xxxxx n x k x X x X x X x X xxxx excel x calculated xxxxx binomial xxxxxxxxxxxx The xxxxxxxxxxx is Read More

Ans. Activity xxxxxxxx Experiment x process xxxxx produces xxxxxxx such xx rolling x die xx flipping x coin xxxxxx Space xxx set xx all xxxxxxxx outcomes xx an xxxxxxxxxx Event xxx subset xx the xxxxxx spa... ....... Activity xxxxxxxx Experiment x process xxxxx produces xxxxxxx such xx rolling x die xx flipping x coin xxxxxx Space xxx set xx all xxxxxxxx outcomes xx an xxxxxxxxxx Event xxx subset xx the xxxxxx space xxxxxxx A xxxxxx result xx the xxxxxxxxxx Probability x number xxxxxxx and xxxx measures xxx likely xx event xx Mutually xxxxxxxxx Events xxxxxx that xxxxxx happen xx the xxxx time xxxxxxxxxxx Events xxxxxx where xxx outcome xx one xxxx not xxxxxx the xxxxxxx of xxx other xxxxxxxx Venn xxxxxxxxxxx diagram xxxxxxxx There xxx totally xxxxx with xxxxx balls x and xxxxxx balls x The xxxxxxxxxxx of xxxxxxx the xxxxx green xxxx is x G xx we xxxxxxx the xxxx there xxx still xxxxx The xxxxxxxxxxx of xxxxxxx the xxxxxx ball xx P x P x then x The xxxxxxxxxxx of xxxxxxx the xxxxx green xxxx is x G xxxxx removing xxx green xxxx there xxx balls xx the xxxxxxxxxxx of xxxxxxx one xxxxxx ball xx P x then x ReferencesIllowsky x Dean x Birmajer x Blount x Boyd x Einsohn x Helmreich x Kenyon x Lee x amp xxxx J xxxxxxxxxxxx statistics x Openstax xxxxx openstax xxx details xxxxx introductory-statistics- x Licensed xxxxx a xxxxxxxx Commons xxxxxxxxxxx Read More

Ans. Question xxxxx maximum xxxxx - xxxxxxx value xxxxx We xxxx data xxxxxx st xxxxxxxx or xx percentile xxxxxxxx n xxxx lies xxxxxxx nd xxx the xx values xx value xxx rd xxxxx Q xxxxxx nd xxxxxxxx or xx p... ....... Question xxxxx maximum xxxxx - xxxxxxx value xxxxx We xxxx data xxxxxx st xxxxxxxx or xx percentile xxxxxxxx n xxxx lies xxxxxxx nd xxx the xx values xx value xxx rd xxxxx Q xxxxxx nd xxxxxxxx or xx percentile xxxxxxxx n xxxx is xxx th xxxxx rd xxxxxxxx or xx percentile xxxxxxxx n xxxx lies xxxxxxx th xxx the xx values xx value xxx th xxxxx Q xxxxxx nd xxxxxxxx or xx percentile xx quartile xx percentile xx quartile xx percentileThey xxx just xxxxxxxxx names xxx the xxxx cut xxxxxx Mean xxxx variance xxxxxxxx deviation xxxxxxx different xxxxxxx of xxx data xxxx center xx spread xx frequency xxxxxxxx Steam xxxx plotstem xxxx Histogram xxx plot xx the xxxxxxx ReferencesIllowsky x Dean x Birmajer x Blount x Boyd x Einsohn x Helmreich x Kenyon x Lee x Taub x Introductory xxxxxxxxxx e xxxxxxxx https xxxxxxxx org xxxxxxx books xxxxxxxxxxxxxxxxxxxxxxxx e xxxxxxxx under x Creative xxxxxxx Attribution Read More

Ans. The xxxxxxx Limit xxxxxxx CLT xxxxxx that xxx distribution xx the xxxxxx mean xxxxxxxxxx a xxxxxx distribution xx the xxxxxx size xxxxxxx large xxxxxxxxxx of xxx population's xxxxxxxx distribution xxx... ....... The xxxxxxx Limit xxxxxxx CLT xxxxxx that xxx distribution xx the xxxxxx mean xxxxxxxxxx a xxxxxx distribution xx the xxxxxx size xxxxxxx large xxxxxxxxxx of xxx population's xxxxxxxx distribution xxxxxxxxxxxxx In xxxx scenario xxxxxxx fluctuations xx daily xxxxxxx the xxxxxxx revenue xxxx a xxxxxxxxxxxx large xxxxxx of xxxx will xx approximately xxxxxxxx distributed xxx Law xx Large xxxxxxx says xxxx as xxx sample xxxx increases xxx sample xxxx will xxxx to xxx closer xx the xxxx population xxxx GeeksforGeeks xxx sampling xxxxxxxxxxxx of xxxxxx means xxxxxx to xxx probability xxxxxxxxxxxx of xxx means xx all xxxxxxxx samples xx a xxxxx size xxxx the xxxxxxxxxx which xx the xxxxxxxxxx for xxxxxx probability xxxxxxxxxx about xxx mean xxxxxxx based xx sample xxxx Illowsky xx al x Given xxxxxxxxxx mean xxxxxxx INR xxxxxxxxxx standard xxxxxxxxx million xxx Sample xxxx n xxx standard xxxxx of xxx mean xx calculated xxxxx the xxxxxxx n xx need xx determine xxx z-score xxx and xxxxx we xxxx calculate xxx z-score xxx x- x - x Next xx will xxxxxxxxx the xxxxxxx for xx n x Now xx need xx find xxxxxxxxxxx between xxxxx two xxxxx standard xxxxxx distribution xxxxx P x I xxxxxxxxxx this xxxxx excel xxxxxxxx Norm x dist x true xxxxxxxxx the xxxxxxxxxxx is xxxxxxxxxxxxx that xxx sample xxxx of xxxxxxxx chosen xxxx lies xxxxxxx and xxxxxxx INR x Total xxxxxxx mean x million xxx Total xxxxxxx standard xxxxxxxxx n xx need xx calculate xx z-score xxx total xxxxxxx million xxxx - x We xxx to xxxxxxxxx the xxxxxxxxxxx of xxxxx less xxxx using xxxxxxxx normal xxxxxxxxxxxx table x have xxxx excel xxxxxxx to xxxxxxxxx the xxxxxxxxxxx Therefore xxxxxxxxxxx of xxxxx Therefore xxx probability xxxx the xxx of xxxxxxxx over xxxxxxxx chosen xxxx is xxxx than xxxxxxx INR xx approximately xx ReferencesGeeksforGeeks xxxxxxxx Central xxxxx Theorem xx Statistics xxxxxxxxxxxxx https xxx geeksforgeeks xxx maths xxxxxxxxxxxxxxxxxxxxx GeeksforGeeks xxxx Law xx Large xxxxxxx GeeksforGeeks xxxxx www xxxxxxxxxxxxx org xxxxx law-of-large-numbers xxxxxxxx B xxxx S xxxxxxxx D xxxxxx B xxxx S xxxxxxx M xxxxxxxxx J xxxxxx L xxx S xxxx J xxxxxxxxxxxx statistics x Openstax xxxxx openstax xxx details xxxxx introductory-statistics- x Licensed xxxxx a xxxxxxxx Commons xxxxxxxxxxx University xx Arizona x d xxxxxxxx normal xxxxxxxxxxxx Table xxxxxx represent xxx area xx the xxxx of xxx Z xxxxx standardnormaltable xxx Retrieved xxxxxxxxx from xxxxx math xxxxxxx edu xxxxx ma xxxxxxxxxxxxxxxxxxx pdf Read More

Ans. In xx uneven xxxxxxxxxxxx when x dataset xx positively xxxxxx mean xx greater xxxx the xxxxxx When x dataset xx negatively xxxxxx mean xx less xxxx the xxxxxx Median xxxxxxxxxx the xxxxxx value xxx it... ....... In xx uneven xxxxxxxxxxxx when x dataset xx positively xxxxxx mean xx greater xxxx the xxxxxx When x dataset xx negatively xxxxxx mean xx less xxxx the xxxxxx Median xxxxxxxxxx the xxxxxx value xxx it xx resistant xx the xxxxxxxx Mode xx the xxxx frequently xxxxxxxx value xx can xx misleading xx continuous xxxx Quartiles xxx percentiles xxxx in xxxxxxxxxx how xxxx is xxxxxx Quartiles xx divided xxxx four xxxxx parts xxx percentiles xx divided xxxx equal xxxxx They xxxx us xx understanding xxxx distribution xxx outliers xx most xx the xxxxxxx it xx very xxxxx to xxx differences xxxxxxx data xxxxxx This xx called xxxxxxxxxxx For xxxxxxxx let xx say xxxx if xx look xx people x heights xx can xxx a xxxxx of xxxx and xxxxx people xxx sometimes xxxxx are xxxxxx that xxxxx out x lot xxxxx are xxxxxx outliers xx identify xxxx we xxx use xxxxxx and xxxxxx like xxx plots xx scatterplots xx spot xxxx These xxxx us xxxx the xxxxxx which xxxxx t xxx in xxxx the xxxx Once xx spot xxxxx outliers xxx next xxxx is xx figure xxx if xx is x mistake xx a xxxxxxxxxxx error xx if xx is x real xxxxxxxxxx value xxx instance xxxxxx marathon xx time xx much xxxxxx than xxxxxxx it xxxxx either xx a xxxx error xx a xxxxxx breaking xxxxxxxxxxx If xx s x mistake xx usually xxxxx sense xx correct xxxx But xx it x real xx could xx valuable xxxxxxxx insights xxxx rare xxxxxx or xxxxxxxx Illowsky xx al xxxxxxxxx removing xxxxxxxx helps xx focus xx what x normal xx typical xxxxxxxxxx when xx extreme xxxxx skews xxx average xxx other xxxxx removing xxxx can xxxx important xxxxxxxxxxx and xxxx to xxxxxxxxxx conclusions xxxxxxxx et xx That x why xx s xxxxxxxxx to xxxxx carefully xxxxx why xx outlier xxxxxx before xxxxxxxx what xx do xxxx it xxxxxxxxxxxxxxxxxx B xxxx S xxxxxxxx D xxxxxx B xxxx S xxxxxxx M xxxxxxxxx J xxxxxx L xxx S xxxx J xxxxxxxxxxxx statistics x Openstax xxxxx openstax xxx details xxxxx introductory-statistics- x Licensed xxxxx a xxxxxxxx Commons xxxxxxxxxxx Read More

Ans. The xxxxxxxx carries xxx features xx Poisson xxxxxxxxxxxx because xxxxxx happen xxxxxxxxxxxxx of xxxx other xxx event xxxxxx at x known xxxxxxx rate xxx we xxx counting xxx number xx events xx this xx... ....... The xxxxxxxx carries xxx features xx Poisson xxxxxxxxxxxx because xxxxxx happen xxxxxxxxxxxxx of xxxx other xxx event xxxxxx at x known xxxxxxx rate xxx we xxx counting xxx number xx events xx this xxxx orders xx a xxxxx period xx time xxxxx Average xxxxxx of xxxxxx bread xxxxxx per xxxx We xxxx to xxxx out xxx probability xx exactly xxxxxx in xxx hour xxxx is x For x Poisson xxxxxx variable x P x x x - x x xxxxxxxxxxxx the xxxxxx and x into xxx equation xx getP x e x Therefore x X xxxxx means xxxx approximately xxxxxx that xxx bakery xxxxxxxx exactly xxxxxx in x single xxxx ReferencesIllowsky x Dean x Birmajer x Blount x Boyd x Einsohn x Helmreich x Kenyon x Lee x Taub x Introductory xxxxxxxxxx e xxxxxxxx https xxxxxxxx org xxxxxxx books xxxxxxxxxxxxxxxxxxxxxxxx e xxxxxxxx under x Creative xxxxxxx Attribution Read More

Ans. In xxxx example xx can xxx that xxx average xxxx time xx minutes xxxx means xxxx we xxx just xx likely xx wait xxxx than xxxxxxx as xx are xx wait xxxx than xxxxxxx This xxxxxx with xxx property xxxxx... ....... In xxxx example xx can xxx that xxx average xxxx time xx minutes xxxx means xxxx we xxx just xx likely xx wait xxxx than xxxxxxx as xx are xx wait xxxx than xxxxxxx This xxxxxx with xxx property xxxxxxxx which xxxx that x normal xxxxxxxxxxxx is xxxxxxxxx around xxx mean xxxxxxxxxxxxx When xxx distribution xx symmetric xx can xxxxxxx that xxx on xxxx days xxx wait xxxx will xx close xx the xxxxxxx Secondly xx this xxxxxxxx all xxxxx measures xx central xxxxxxxx are xxxx with xxxxxxx This xxxxxx with xxx property xxxx median xxx mode xxx all xxxxx The xxxxxxxxx benefit xx that xxx average xxxx time xxxxx represents x typical xxx so xxxxxxxx around xxxxxxx is xxxxxxxxx Thirdly xxx standard xxxxxxxxx minutes xxxxx how xxxx wait xxxxx vary xxxx the xxxxxxx This xxxxxx with xxx property xxxxxxxx deviation xxxxxxxx spread xxxxxxxx et xx With xxxx we xxx roughly xxxxxxxx that xx our xxxxxx will xxxx to xxxx between xxx minutes xxxx is xxxxxxxxxx as xxxxxxxxx us xx estimate xx how xxxx time xx wait xxxxxx the xxxxxxxxx Rule xxxx is xxxxxxxx Z- xxxxx formula xx z xx Given x Substituting xxxxx values xx the xxxxxxx we xxx Z x Using xxxxx function xxx probability xx waiting xxxx than xxxxxxx is x Z x Z x Z xxxxx norm x dist xxxx function x Z x Therefore xxx probability xx waiting xxxx than xxxxxxx is xx which xx approximately xxxx says xxxx there xx about xxxxxx that xx will xxxx more xxxx minutes xxx our xxxxxx on xxxxx day xxxxxxxxxxxxxxxxxx B xxxx S xxxxxxxx D xxxxxx B xxxx S xxxxxxx M xxxxxxxxx J xxxxxx L xxx S xxxx J xxxxxxxxxxxx statistics x Openstax xxxxx openstax xxx details xxxxx introductory-statistics- x Licensedunder x Creative xxxxxxx Attribution xxxxxxxxxxxxx September xxxxxx Distribution xxxxxxxxxx Uses xxxxxxxx GeeksforGeeks xxxxx www xxxxxxxxxxxxx org xxxxx normal-distribution Read More

Ans. Question xxxxxxxxxx is xxx process xx collecting xxxxxxxxx and xxxxxxxxxxxx the xxxx to xxxx decisions xxx instance xxx s xxx in x class xx students xxxxxx department xxxxx to xxxx how xxxx students x... ....... Question xxxxxxxxxx is xxx process xx collecting xxxxxxxxx and xxxxxxxxxxxx the xxxx to xxxx decisions xxx instance xxx s xxx in x class xx students xxxxxx department xxxxx to xxxx how xxxx students xxx interested xx playing xxxxxxx volleyball xxxxxxxx and xxxxxxxxx So xxxx collect xxxx and xxxxxxx them xxxx divide xxx categorize xxxx accordingly xxxxxxxxxxx is xxx process xx the xxxxxxxxxx of xxx event xxxx something xxxx happen xxx instance xxx s xxx that xx a xxxx usually xxx of xxxxxxxxx orders xxxxxx So xxx probability xx the xxxx customer xxx will xxxxx coffee xx Population xx the xxxxx group xxxxx is xxxxxxxxxx to xx studied xxx instance xxx the xxxxxxxx from xxx entire xxxxxx Sample xx a xxxxx portion xx the xxxxxx of xxx group xxxx represent xxxxxxxxxx Example xxxxxx department xxxxxxxx selects x class xx students xxxxxxx of xxx the xxxxxxxx from xxx entire xxxxxx In xxxxxx Random xxxxxxxx everyone xx the xxxxxxxxxx has xx equal xxxxxx of xxxxx selected xxxxxxxx et xx For xxxxxxxx let xx say xxxx a xxxxxxxxx puts xxx name xx students xx a xxx He xxxxx them xxx randomly xxxxx the xxxx of xxxxxxxx and xxxxxxx them xxxx singing xxxxxxx drawing xxxxxxxxx cricket xxxxxxxx and xxxxxxxxxx The xxxxxx might xxx up xxxx students xxxxxxx into xxxxxxx and xxxxxxx and xxxx students xx other xxxxxxxxxx but xx is xxxxx considered xxxxxx and xxxx result xx stratified xxxxxxxx population xx divided xxxx groups xxx samples xxx taken xxxx each xxxxx to xxxxxx representation xxxxxxxx et xx For xxxxxxxx professor xxxxxxx students xxxx freshman xxxxxxxxxx juniors xxx seniors xxxxx each xxxxx make xx of xxx school xxx picks xx from xxxx year xxxxx Question xxxx than xxxx members xxx and xxx number xx families xx each xxxxxxx are xxx respectively xxxxxxxxx the xxxxx number xx families xxx Question xxxxxxxxxx frequency xxxx hours xx studying xxxxxxxx Cumulative xxxxxxxxx upto xxxxx of xxxxxxxx students xxxxxxxxx the xxxxxx of xxxxxxxx spent xxxxxxxx between xxx hours xxxxxxxx Number xx students xxx studied xxxx than xxxxx of xxxxxxxx students xxxxxxxxxx frequency xxxx Hours xxxxxxxxxxxxxxxxxx B xxxx S xxxxxxxx D xxxxxx B xxxx S xxxxxxx M xxxxxxxxx J xxxxxx L xxx S xxxx J xxxxxxxxxxxx statistics x Openstax xxxxx openstax xxx details xxxxx introductory-statistics- x Licensed xxxxx a xxxxxxxx Commons xxxxxxxxxxx Read More