问题标题：
泊松分布ThenumberofdefectivecomponentsproducedbyacertainprocessfollowsaPoissondistributionwithmeank.Eachdefectivecomponenthasprobabilityp0asbeingrepairable.a.FindtheprobabilitythatexactlyNdefectivecomponentsarefound
问题描述：
泊松分布
Thenumberofdefectivecomponentsproducedbyacertainprocessfollows
aPoissondistributionwithmeank.Eachdefectivecomponenthasprobabilityp0asbeing
repairable.
a.FindtheprobabilitythatexactlyNdefectivecomponentsarefound.
b.SupposewehaveexactlyNdefectivecomponents,letYbethenumberofrepairable
components,ˉndtheprobabilitydistributionofY.
c.Findthemomentgeneratingfunctionofthedistributionyouobtainedinpartb.
d.WhatistheprobabilitythatweˉndexactlyNdefectivecomponents,andamongthem,
narerepairable?
潘红回答：
a:exp(-k)*N^k/N!(感叹号表示阶乘)b：Y服从B(N,p0)(二项分布)c:矩母函数：（1-p0+p0*exp(t)）^Nd:这是个复合泊松过程,每一项是两点分布,可以修复的元件的个数的剧目函数是exp{K（1-p0+p0*exp(t)）^N)-1}期望...
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