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Let X and Y be two random variables with joint density f(x, y) = kxy for 0 x y^2, 0 y 1, where k is

Let X and Y be two random variables with joint density f(x, y) = kxy for 0 x y^2, 0 y 1, where k is a constant.

Find k.

Find the marginal density functions fx and fx.

Compute the covariance of X and Y .

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