Let (X, Y) be a uniformly distributed random point on the quadrilateral Dwith vertices (0,0), (2,0), (1,1) and (0,1). Find the conditional expectations E(X|Y) and E(Y|X). Find the expectation E(X) and E(Y) by averaging the conditional expectations. If you did not calculate the expectations in Exercise 8.15, confirm your answers by calculating the expectations by integrating with the joint density.