Question: 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

Need help setting up and solving this problem.

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

fX,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]

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