Question: Suppose Y has a Poisson distribution with parameter (mean) and itself is a random variable with density function f() = e , > 0. Find

Suppose Y has a Poisson distribution with parameter (mean) and itself is a random variable with density function

f() = e , > 0.

Find (a) E(Y ) and (b) V (Y ).

Ans. (a) 1 (b) 2

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