We have seen that if Y has a binomial distribution with parameters n and p, then Y/n is

Chapter 8, Problem 8.13

(choose chapter or problem)

We have seen that if Y has a binomial distribution with parameters n and p, then Y/n is an unbiased estimator of p. To 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 form an unbiased estimator of V(Y ).

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