Question: Let X1, X2 be two random variables with joint pdf f(x1, x2)=4x1x2, 0 < x1 < 1, 0 < x2 < 1, zero elsewhere. Compute

Let X1, X2 be two random variables with joint pdf f(x1, x2)=4x1x2, 0 < x1 < 1, 0 < x2 < 1, zero elsewhere. Compute E(X1), E(X^21 ), E(X2), E(X^22 ), and E(X1X2). Is E(X1X2) = E(X1)E(X2)? Find E(3X2 2X^21 + 6X1X2)

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