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1. Let X, Poisson(A,), for i = 1,2. (a) Show that X1 + X2~ Poisson(A1 + A2). (b) Show that X1| X1 + X2

1. Let X, Poisson(A,), for i = 1,2. (a) Show that X1 + X2~ Poisson(A1 + A2). (b) Show that X1| X1 + X2 is binomial with probability of success equal to (c) What is the distribution of X2 X1+ X2?

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