Suppose the number of accidents in an interval of time has, Basic Statistics

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Suppose the number of accidents in an interval of time has

Question: Suppose the number of accidents in an interval of time has Poisson (λ) distribution. suppose that in each accident there are k persons injured with probability pk, independently of all other accidents, Let Nk be the number of accidents in which k persons are injured.

a) What is the joint distribution of N1 and N2?

b) Let M be the total number of persons injured. Find formulae for E(M) and SD(M) in terms of p1, p2, . . and λ.

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Basic Statistics: Suppose the number of accidents in an interval of time has

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Basic Statistics: Suppose the number of accidents in an interval of time has

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