Suppose that the joint pdf for two random variables X and Y is given by

Suppose that the joint pdf for two random variables X and Y is given by x,y) = A(x ore-W for (x, y) in the rst quadrant and zero everywhere else and 11 is a positive constant. a.) (3 points) Determine the value of A. b.) (6 points) Determine the cdf function F (x, y). c.) (6 points) Determine the marginal pdfs f X(x) and f vol). d.) (3 points) Determine E(X), E(Y) and E(XY). e.) (2 points) Are X and Y independent? Explain