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What is the joint distribution

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In a population of four classes of individuals, the proportion of individuals of Class i is pi for i = 1, 2, 3, 4. Suppose you sample independently from this population, and suppose the sample size is a Poisson random variable with parameter n for a fixed positive integer n.

For 1 ≤ i ≤ 4, let Ni be the number of Class i people in the sample.

a) What is the joint distribution of N1, N2, N3, N4?

b) Find the probability that the sample contains at least one individual from each class.

Reference no: EM132853086

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