The joint probability density function of X and Y is given by f(x,y) = 6 7(x2 + xy 2) 0 lt; x lt; 1, 0 lt; y lt; 2 (a) (5 points) Verify that...

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) (5 points) Verify that this is a joint density function.

(b) (5 points) Compute the density function of X.

(c) (5 points)Find P{X > Y}.