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Suppose that the joint p.d.f. of X and Y is as follows: f (x, y) = 15 /4 x2 for 0 y 1 x2, 0

Suppose that the joint p.d.f. of X and Y is as follows: f (x, y) = 15 /4 x2 for 0 y 1 x2, 0 otherwise. a. Determine the marginal p.d.f.'s of X and Y .

a. Determine the marginal p.d.f.'s of X and Y .

b. Are X and Y independent?

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