42. Let {N(t), t 0} be a Poisson process with rate . Let Sn denote the...
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42. Let {N(t), t 0} be a Poisson process with rate λ. Let Sn denote the time of the nth event. Find
(a) E[S4],
(b) E[S4|N(1) = 2],
(c) E[N(4) − N(2)|N(1) = 3].
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