Number of accidents at a specific intersection in interval

Reference no: EM131130711

Let N(t) be the number of accidents at a specific intersection in the interval [0,t]. We suppose that {N(t),t ≥ 0} is a Poisson process with rate λ₁ = 1 per week. Moreover, the number Y_k of persons injured in the Kth accident has (approximately) a Poisson distribution with parameter λ₂ = 1/2, for all k. Finally, the random variables Y₁Y₂,... are independent among themselves and are also independent of the stochastic process {N(t) t ≥ 0}.

Reference no: EM131130711

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