Suppose (N t ) t 0 is a Poisson process with parameter 1 (a) Find P(N 3 4) (b) Find P(N 3 4,N 5 8) (c) Find P(N 3 4 N 5 8) (d) Find P(N 3 4,N 5 8,N 6 10)

Question: Suppose (N t ) t 0 is a Poisson process with parameter = 1. (a) Find P(N 3 = 4). (b) Find P(N

Suppose (N_t)_t ≥ 0 is a Poisson process with parameter λ = 1.
(a) Find P(N₃ = 4).
(b) Find P(N₃ = 4,N₅ = 8).
(c) Find P(N₃ = 4|N₅ = 8).
(d) Find P(N₃ = 4,N₅ = 8,N₆ = 10).

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