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Question 4 (10 points). Let X ~ Poisson()1) and Y ~ Poisson(12) be two independent Poisson random variables. Show that the conditional distribution of X

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Question 4 (10 points). Let X ~ Poisson()1) and Y ~ Poisson(12) be two independent Poisson random variables. Show that the conditional distribution of X given X + Y = n is Binomial ( n, X1 d1 + 12 Here, Al > 0, 12 > 0 and the nonnegative integer n are some given parameters

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