5. The continuous random variables X and Y have joint density function fry(x, y) = 1for 0 < x < 1 and 2x < y < 2, and zero otherwise.

(a) Find cov(X,Y). (b) Find E(X|Y = y). (c) Are X and Y independent? (d) Find E(X) using double expectation: E(X) = E(E[X|Y]). Compare to the E(X)= you get using the definition of expected value.