Suppose n people write their names on slips of paper and put the slips in a box. Then each person draws a slip of paper at random (so it's secret santa/men taking hats again). If X is the number of people who get their own names, find the expected value and variance of X. Hint: Let Xi be 1 if person i gets their own name and 0 otherwise, and write X = X1 Xn.