Assume that, in an area, the number of traffic accidents on a randomly chosen day is a

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Assume that, in an area, the number of traffic accidents on a randomly chosen day is a Poisson r.v. with parameter λ1, and the number of injuries a particular accident causes is a Poisson r.v. with parameter λ2. Write the m.g.f. of the total number of injuries. The corresponding distribution is called Poisson-Poisson. Make up another example where such a distribution would serve as an appropriate model.

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