A surveyor wishes to lay out the square region with each and every side having length L. But, because of measurement error, he instead lays out the rectangle in which the north-south sides both have length X and the east-west sides both have length Y. Assume that the joint pmf of X and Y is f(x,y) = 1 / (4L2) for 0 ? x ? 2L and 0 ? y ? 2L. Determine the expected area of the resulting rectangle. Find the covariance of X and Y