Question: 10. Suppose Y has a Poisson distribution with parameter A and A itself is a random variable with an exponential distribution with mean 2. Find

10. Suppose Y has a Poisson distribution with parameter A and

10. Suppose Y has a Poisson distribution with parameter A and A itself is a random variable with an exponential distribution with mean 2. Find (a) the unconditional probability function for Y, (b) EY], (c) V(Y). Ans. (a) p(y) ( + 1)2 3 1 3 - 0, 1,2,3, ... (b) 2 (c) 6 dard normal distribution. find the

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