Suppose four people, two men and two women, sit in a row, on chairs marked from left to right 1, 2, 3, 4. Let X be the number of the rightmost chair occupied by a man. Let Y be the number of the leftmost chair occupied by a woman.
(I) Find EX
(II) Find Cov(X,Y)
(III) Find P(X = 4 | x < 2)
(IV) P(X < 2 | x = 4)
(V) Find the distribution of X - Y