Let Y1, Y2,..., Yn be independent Poisson random variables with means 1, 2,...,n

Chapter 6, Problem 6.54

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Let Y1, Y2,..., Yn be independent Poisson random variables with means 1, 2,...,n , respectively. Find the a probability function of n i=1 Yi . b conditional probability function of Y1, given that n i=1 Yi = m. c conditional probability function of Y1 + Y2, given that n i=1 Yi = m.

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