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4. Suppose that the joint p.m.f. of X and Y is e-2xX3 P{X = i, Y = j} = J! where i, j are integers.

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4. Suppose that the joint p.m.f. of X and Y is e-2xX3 P{X = i, Y = j} = J! where i, j are integers. (a) Show that X and Y - X are i.i.d. ~ Poisson(1). (b) Show that Y ~ Poisson(21)

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