Binomial Distribution and Normal Approximation: Evaluating Mendel's Proportion of Long Stemmed Plants

Analyzes statistical approaches used in evaluating Mendel�s genetic experiments.

Olivia Smith

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BinomialDistributionandNormalApproximation:EvaluatingMendel'sProportionofLongStemmedPlantsInoneofMendel'sexperimentswithplants,1064offspringconsistedof787plantswithlongstems.AccordingtoMendel'stheory,3/4oftheoffspringplantsshouldhavelongstems.AssumingthatMendel'sproportionof3/4iscorrect,findtheprobabilityofgetting787orfewerplantswithlongstemsamong1064offspringplants.Basedontheresult,is787offspringplantswithlongstemsunusuallylow?WhatdoestheresultimplyaboutMendel'sclaimedproportionof3/4?Solution:Wehaven=1064andp=0.75Sincenp=1064*0.75=798andn(1-p)=1064*0.25=266aregreater5,weusenormalapproximationtobinomialMean,J=np=1064*0.75=798Standarddeviation,0=Vnp(1-p)=V1064*0.75%0.25=14.124Usingcontinuitycorrection,+StudyXY

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