A flow of claims arriving at an insurance company is represented by a homogeneous Poisson process Nt in continuous time. (For now, we just count the number of claims arrived by time t.) Suppose that the mean inter-arrival time is equal to 1/X, where X is a positive parameter. Let the unit of time be an hour. Question 13 What's P(N3 ≤4) ? -12X e -3A e¯³λ (1 + 3A + ²/A² + 2/³ + 2714) e-3A (1+3+²+ /A³) e¯4λ (1 + 4λ + 8X² + 32 1³ + 32² 14)

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