Question: Let be a random variable that follows a Poisson distribution, so that for some constant , a, its PMF is Let be another random variable

Let be a random variable that follows a Poisson distribution, so that for some constant , a, its PMF is

Let be another random variable that, given M = m, is equally likely to take on any value in the set {0, 1, 2, €¦.,m}.
(a) Find the joint PMF of M and N.
(b) Find the marginal PMF of N, PN. Plot your result for a = 1.

PM(m) = an e-, m-0, 1, 2, 772

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