Consider X, Y with joint density
fX,Y(x,y) = 9/64x2y2,
for 0 ≤ x,y ≤ 2, 0 ≤ y ≤ 2,
and fX,Y(x,y) = 0 otherwise.
a. Find P(X < 1,Y < 1).
b. Find P(X > l,y < 1).
c. Find P(X > 1, Y > 1).
d. Check that the answers from parts a-d sum to 1. Exercise