Suppose that X follows binomial distribution Bi(n,p). MLE of the binomial proportion p is f3\" = X / n. In this exercise, we will discuss multiple types of condence intervals and compare their performance. 1. Derive y, the asymptotic condence interval of p with Wald statistic. 2. Derive IS, the asymptotic condence interval of p with score statistic. In literature, this interval is also called Wilson interval