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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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