Consider a collection of n individuals. . Assume that each person’s birthday is equally likely to be any of the 365 days of the year and also that the birthdays are independent. For i < j, let Ai, j denote the event that persons i and j have the same birthday, and let X be the number of pairs of people whose birthdays are the same, i. e., the number of Ai, j that occur.(b) Compute E[X], and find the smallest value of n for which E[X] > 1. Describe in words what this means. (A sentence or two is fine.)