3) (6) 8 people are in a party, each owns a hat. They throw their hats in a box, and each person picks at random and holds on to one hat (with all 8! Orderings equally likely). We will call M=a r.v. that denotes the number of people who got their own hat back. We will call S= the r.v. that denotes the number of swapped pairs. (A pair of people is called a swapped pair if each has the other person's hat, e.g. 1 has 3's hat, and 3 has 1's hat-then 1 and 3 is a single swapped pair). a) Find E(M) b) Find E(S). Show your work