Solved: Suppose that X and Y have a discrete joint

Chapter 3, Problem 2

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Suppose that X and Y have a discrete joint distribution for which the joint p.f. is defined as follows: f (x, y) = 1 30 (x + y) for x = 0, 1, 2 and y = 0, 1, 2, 3, 0 otherwise. a. Determine the marginal p.f.s of X and Y . b. Are X and Y independent?

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