1 Let f(x, y) = 4xy, 0 < x < 1, 0 < y < 1, zero
elsewhere, be the joint probability density function(pdf) of X and
Y . Find P(0 < X < 1/2 , 1/4 < Y < 1) , P(X = Y ), and
P(X < Y ). Notice that P(X = Y ) would be the volume under the
surface f(x, y) = 4xy and above the line segment 0 < x = y <
1...