Let CI = 4yl0 if 0 < x < 1, 0 < y < 1, f(c) = 0 otherwise.
Find the following:
(a) c such that f(x, y) is a probability density function.
(b) Expected values of X and Y: E(X), E(Y).
(c) Are X and Y independent? (enter YES or NO)
Note: You can earn partial credit on this problem.