6) Let X and Y be independent Poisson random variables with means A1 and A2, respectively....

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6) Let X and Y be independent Poisson random variables with means A1 and A2, respectively. For each fixed value of k, where k = 1, 2, 3, ..., show that the conditional probability of X given that X +Y = k is a binomial distribution with parameters k and 6) Let X and Y be independent Poisson random variables with means A1 and A2, respectively. For each fixed value of k, where k = 1, 2, 3, ..., show that the conditional probability of X given that X +Y = k is a binomial distribution with parameters k and