Question: Let N(t) be a Poisson process with rate = 2. Find; (a) P(N(2) = 1, N(3) = 4, N(5) = 5) (b) P(N(4) = 3|N(2)

Let N(t) be a Poisson process with rate = 2. Find;

(a) P(N(2) = 1, N(3) = 4, N(5) = 5)

(b) P(N(4) = 3|N(2) = 1, N(3) = 2)

(c) E(N(4)|N(2) = 2)

(d) P(N[2, 7] = 4, N(3, 6) = 6).

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