Complete the below:
Q: The joint probability density function of X and Y is given by
f(x, y) =6/7 (x2 + xy/2 ), 0 < x < 1, 0 < y < 2.
(a) Verify that this is indeed a joint density function.
(b) Compute the density function of X.
(c) Find P(X > Y ).
(d) Find P(Y > 1/2|X < 1/2).
(e) Find E(X).
(f) Find E(Y ).