Question: Let f(x, y) = (3x(y^2))/16 , 0 x 2 , 0 y 2 be the joint pdf of X and Y . (a) Verify that

Let f(x, y) = (3x(y^2))/16 , 0 x 2 , 0 y 2 be the joint pdf of X and Y .

(a) Verify that f is indeed a density.

(b) Find the marginal densities fX and fY .

(c) Are the two random variables independent?

(d) Compute the means and variances of X and Y .

(e) Find P(X Y ).

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