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1、ProbabilityDistributions1Whatwehavelearnedthusfar..ToolsLearnedDescriptiveStatisticsCapabilityStudyProcessMappingParetoChartFishboneDiagramFMEADescriptiveStatisticscomprisesthosemethodsconcernedwithcollectinganddescribingasetofdatasoastoyieldmeaninginformationWearecro
2、ssingthebridgenow..InferentialStatisticsDescriptiveStatisticsStatistics—OverviewWhatwillbetaught….ToolstobetaughtParameterEstimationHypothesisTestingANOVAInferentialStatisticscomprisesthosemethodsconcernedwiththeanalysisofasubsetofdataleadingtopredictionsorinferencesa
3、bouttheentiresetofdataLearningObjectivesWhatisaProbabilityDistribution?Experiment,SampleSpace,EventRandomVariable,ProbabilityFunctions(pmf,pdf,cdf)DiscreteDistributionsBinomialDistributionPoissonDistributionContinuousDistributionsNormalDistributionExponentialDistribut
4、ionSamplingDistributionsZDistributiontDistributionc2DistributionFDistributionAsweprogressfromdescriptionofdatatowardsinferenceofdata,animportantconceptistheideaofaprobabilitydistribution.Toappreciatethenotionofaprobabilitydistribution,weneedtoreviewvariousfundamentalc
5、onceptsrelatedtoit:Experiment,SampleSpace,EventRandomVariableWhatisaProbabilityDistribution?Whatdowemeanbyinferenceofdata?ExperimentAnexperimentisanyactivitythatgeneratesasetofdata,whichmaybenumericalornotnumerical.WhatisaProbabilityDistribution?{1,2,..,6}(a)Throwinga
6、diceExperimentgeneratesnumerical/discretedataPinsStainsRejectAccept(b)InspectingforstainmarksExperimentgeneratesattributedataPins(c)MeasuringshaftÆ10.53mm10.49mm10.22mm10.29mm11.20mm……ExperimentgeneratescontinuousdataRandomExperimentIfwethrowthediceagainandagain,orpro
7、ducemanyshaftsfromthesameprocess,theoutcomeswillgenerallybedifferent,andcannotbepredictedinadvancewithtotalcertainty.Anexperimentwhichcanresultindifferentoutcomes,eventhoughitisrepeatedinthesamemannereverytime,iscalledarandomexperiment.WhatisaProbabilityDistribution?S
8、ampleSpaceThecollectionofallpossibleoutcomesofanexperimentiscalleditssamplespace.{1,2,..,6}-Tossingofadice{Pass,Fail}-Inspec
