Q5 Let {N(t), t > 0} be a Poisson process with rate = 2. Compute Q5 (i.) P(N(5) = 4, N(6) = 9, N(10) = 15). Q5 (ii.) P(N(5) – N(2) = 3). Q5 (ii.) P(N(5) – N(2) = 3, N(7) – N(6) = 4). Q5 ίv.) P(N(2) + N(5) = 4). Q5 ν.) EΝ(5) -2N() + 3N(10)]. Q5 (vi.) Var[N(5) – 2N(6) +3N(10)]. Q5 (vii.) Cov[N(5) – 2N(6),3N(10)]. |

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