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Consider a Poisson process of rate . Let N be the number of arrivals in (0, t], and let M be the number of arrivals

Consider a Poisson process of rate . Let N be the number of arrivals in (0, t], and let M be the number of arrivals in [0, t + s].

(a) Find the joint PMF of N and M.

(b) Find E[NM].

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