3. The joint density function of two random variables X and Y is, f(x, y) =...

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3. The joint density function of two random variables X and Y is, f(x, y) = (2x + 3y), 0Sxs 1, 0 <ys 1, 0, otherwise a. Verify that f(x, y) is probability distribution of X and Y. b. Compute P[(X, Y) e S], where, S = {(x, v) | 0 < x < < y <}. %3D c. Are X and Y independent? 3. The joint density function of two random variables X and Y is, f(x, y) = (2x + 3y), 0Sxs 1, 0 <ys 1, 0, otherwise a. Verify that f(x, y) is probability distribution of X and Y. b. Compute P[(X, Y) e S], where, S = {(x, v) | 0 < x < < y <}. %3D c. Are X and Y independent?

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