elementary statistics _chapter5

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1、LectureSlidesElementaryStatisticsEleventhEditionandtheTriolaStatisticsSeriesbyMarioF.TriolaChapter5ProbabilityDistributions5-1ReviewandPreview5-2RandomVariables5-3BinomialProbabilityDistributions5-4Mean,VarianceandStandardDeviationfortheBinomialDistrib

2、ution5-5PoissonProbabilityDistributionsSection5-1ReviewandPreviewReviewandPreviewThischaptercombinesthemethodsofdescriptivestatisticspresentedinChapter2and3andthoseofprobabilitypresentedinChapter4todescribeandanalyzeprobabilitydistributions.Probability

3、Distributionsdescribewhatwillprobablyhappeninsteadofwhatactuallydidhappen,andtheyareoftengivenintheformatofagraph,table,orformula.PreviewInordertofullyunderstandprobabilitydistributions,wemustfirstunderstandtheconceptofarandomvariable,andbeabletodistin

4、guishbetweendiscreteandcontinuousrandomvariables.Inthischapterwefocusondiscreteprobabilitydistributions.Inparticular,wediscussbinomialandPoissonprobabilitydistributions.CombiningDescriptiveMethodsandProbabilitiesInthischapterwewillconstructprobabilityd

5、istributionsbypresentingpossibleoutcomesalongwiththerelativefrequenciesweexpect.Section5-2RandomVariablesKeyConceptThissectionintroducestheimportantconceptofaprobabilitydistribution,whichgivestheprobabilityforeachvalueofavariablethatisdeterminedbychanc

6、e.Giveconsiderationtodistinguishingbetweenoutcomesthatarelikelytooccurbychanceandoutcomesthatare“unusual”inthesensetheyarenotlikelytooccurbychance.KeyConceptTheconceptofrandomvariablesandhowtheyrelatetoprobabilitydistributionsDistinguishbetweendiscrete

7、randomvariablesandcontinuousrandomvariablesDevelopformulasforfindingthemean,variance,andstandarddeviationforaprobabilitydistributionDeterminewhetheroutcomesarelikelytooccurbychanceortheyareunusual(inthesensethattheyarenotlikelytooccurbychance)RandomVar

8、iableProbabilityDistributionRandomvariableavariable(typicallyrepresentedbyx)thathasasinglenumericalvalue,determinedbychance,foreachoutcomeofaprocedureProbabilitydistributionadescriptionthatgivestheprobabilityforeachvalueoftherandomvari