Let X and Y be continuous random variables with joint probability density f (x, y) = (1+4xy)/2, for 0 < x < 1 and 0 < y < 1 f (x, y) = 0, otherwise
(a) Compute the marginal density of X & Y.
(b) Are X and Y independent?
(c) Find the probability that X< 0.5.
(d) Find the probability that X< 0.5 given that Y = 0.25