Consider a permutation of the numbers 1, 2, , 5. A position is called a fixed point if the number at that position is the same as the position itself. For example 1, 2, 4, 5, 3 has 2 fixed points namely, 1 and 2. Whereas 5, 4, 3, 2, 1 has no fixed points. Given a random permutation, computed the expectation and variance of the number of fixed points it has.