25. If X has a binomial distribution, X is counting the number of 'successes' found in the sample of size n. We know the variance is np(1-p). a. Choose a value of n, and graph the variance function f(p) = np(l-p) where the values of p go from 0 to 1. It should look like a parabola opening downwards. For which value(s) of p is the variance of X the largest? (Don't change 11.) Why does this make sense? For which value(s) of p is the variance of X the smallest? (Don't change 11.) Why does this make sense? .mpurnp