We have seen that if Y has the binomial distribution with parameters n and p, then Y/n is an unbiased estimator of p. Te estimate the variance of Y, we generally use n(Y/n)(1-Y/n).
a. show that the suggested estimator is a biased estimator of V(Y)
b. Modify n(Y/n)(1-Y/n) slightly to for an unbiased estimator of V(Y).