2- a) Find the value of k for which this is a valid joint PDF for the random variables X and Y. f(x, y) = { k(x² + y²), 0, b) Compute the marginal PDF's. c) Determine whether the random variables are independent or not. d) Compute the expected value and the variance of X 0≤x≤ 1 and 0 ≤ y ≤ 1 otherwise

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