Annie and Alvie have agreed to meet for lunch between noon

(0:00 P.M.) and 1:00 P.M. Denote Annie’s arrival time by X, Alvie’s by Y, and suppose X and Y are independent with pdf’s fX(x)
{3x2 0  x  1 0 otherwise fY(y)
{2y 0  y  1 0 otherwise What is the expected amount of time that the one who arrives first must wait for the other person? [Hint: h(X, Y)

⏐X  Y⏐.]