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一題有關POISSON分配之統計題!!

A store selling newspapers orders only n = 4 of a certain newspaper because the manager does not get many calls for that publication. If the number of requests per day follows a Poisson distribution with mean 3.(a) What is the expected value of the number sold?(b) How many should the manager order so that the chance of running out is less than 0.05?
(a) Let X be Poisson distributed with mean 3. Since n=4

the store can only sell 0

1

2

3

or 4 newspapers. If X=5 only four newspapers are sold. If we let Y be the number of newspapers sold

then P(Y=0)=P(X=0)

P(Y=1)=P(X=1)

P(Y=2)=P(X=2)

P(Y=3)=P(X=3)

P(Y=4)=P(X

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    poisson distribution公式 poisson distribution 波式分配 poisson distribution 證明 poisson distribution e poisson distribution c poisson distribution表 poisson distribution law poisson distribution mean poisson distribution table manager Poisson POISSON publication requests
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