Need help setting up and solving this problem.

Let X and Y be random variables with joint probability density function (PDF) given by

f_X,Y(x,y)= c x y if x 0, y0, x + y 2.

0 otherwise

(a) Find c

(b)Find P(X>1)

(c) Find P(X>1, Y<1)

(d) Find E[XY]