[問題] 一題有關Poisson和二項分配的問題
Suppose that Y1 and Y2 are independent Poisson distributed random variables
with means λ1 and λ2, respectively. Let W=Y1+Y2. W has a Poisson
distribution with mean λ1+λ2. Use this result to show that the conditional
distribution of Y1, given that W=w, is a binomial distribution with n=w and
p=λ1/(λ1+λ2).
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