泊松分布
泊松分布
The number of defective components produced by a certain process follows
a Poisson distribution with mean k.Each defective component has probability p0 as being
repairable.
a.Find the probability that exactly N defective components are found.
b.Suppose we have exactly N defective components,let Y be the number of repairable
components,ˉnd the probability distribution of Y .
c.Find the moment generating function of the distribution you obtained in part b.
d.What is the probability that we ˉnd exactly N defective components,and among them,
n are repairable?
The number of defective components produced by a certain process follows
a Poisson distribution with mean k.Each defective component has probability p0 as being
repairable.
a.Find the probability that exactly N defective components are found.
b.Suppose we have exactly N defective components,let Y be the number of repairable
components,ˉnd the probability distribution of Y .
c.Find the moment generating function of the distribution you obtained in part b.
d.What is the probability that we ˉnd exactly N defective components,and among them,
n are repairable?
英語(yǔ)人氣：205 ℃時(shí)間：2020-02-03 17:08:59
優(yōu)質(zhì)解答
a: exp(-k)*N^k/N! (感嘆號(hào)表示階乘)b：Y服從B(N,p0) (二項(xiàng)分布)c:矩母函數(shù)：（1-p0+p0*exp(t)）^Nd:這是個(gè)復(fù)合泊松過(guò)程,每一項(xiàng)是兩點(diǎn)分布,可以修復(fù)的元件的個(gè)數(shù)的劇目函數(shù)是exp{K（1-p0+p0*exp(t)）^N)-1}期望...
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