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1、BusinessStatistics:AFirstCourse,5e©2009Prentice-Hall,Inc.Chap5-1Chapter5SomeImportantDiscreteProbabilityDistributionsBusinessStatistics:AFirstCourse5thEditionBusinessStatistics:AFirstCourse,5e©2009Prentice-Hall,Inc.Chap5-2LearningObjectivesInthischap
2、ter,youlearn:ThepropertiesofaprobabilitydistributionTocalculatetheexpectedvalueandvarianceofaprobabilitydistributionTocalculateprobabilitiesfrombinomialandPoissondistributionsHowtousethebinomialandPoissondistributionstosolvebusinessproblemsBusinessSt
3、atistics:AFirstCourse,5e©2009Prentice-Hall,Inc.Chap5-3Definitions RandomVariablesArandomvariablerepresentsapossiblenumericalvaluefromanuncertainevent.Discreterandomvariablesproduceoutcomesthatcomefromacountingprocess(e.g.numberofcoursesyouaretakingth
4、issemester).Continuousrandomvariablesproduceoutcomesthatcomefromameasurement(e.g.yourannualsalary,oryourweight).BusinessStatistics:AFirstCourse,5e©2009Prentice-Hall,Inc.Chap5-4Definitions RandomVariablesRandomVariablesDiscreteRandomVariableContinuous
5、RandomVariableCh.5Ch.6Definitions RandomVariablesRandomVariablesDiscreteRandomVariableContinuousRandomVariableCh.5Ch.6Definitions RandomVariablesRandomVariablesDiscreteRandomVariableContinuousRandomVariableCh.5Ch.6BusinessStatistics:AFirstCourse,5e©2
6、009Prentice-Hall,Inc.Chap5-5DiscreteRandomVariablesCanonlyassumeacountablenumberofvaluesExamples:RolladietwiceLetXbethenumberoftimes4occurs(thenXcouldbe0,1,or2times)Tossacoin5times.LetXbethenumberofheads(thenX=0,1,2,3,4,or5)BusinessStatistics:AFirstC
7、ourse,5e©2009Prentice-Hall,Inc.Chap5-6ProbabilityDistributionForADiscreteRandomVariableAprobabilitydistributionforadiscreterandomvariableisamutuallyexclusivelistingofallpossiblenumericaloutcomesforthatvariableandaprobabilityofoccurrenceassociatedwith
8、eachoutcome.BusinessStatistics:AFirstCourse,5e©2009Prentice-Hall,Inc.Chap5-7Experiment:Toss2Coins.LetX=#heads.TTExampleofaDiscreteRandomVariableProbabilityDistribution4possibleoutcomesTTHHHHProbabilityDistribution012XXValueProbability01/4=0.2512/4=0.
