Question regarding the unbiased estimator
Let X1, X2,...,X3 be a random sample from b(1,p) (i.e. n bernoulli trials). Thus Y=ΣXi is b(n,p). Show that X bar = Y/n is an unbiased estimator of p. Show that Var(X bar)=p(1-p)/n. Show that E(X bar(1-X bar)/n) = (n-1)[p(1-p)/n^2]
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Let X1, X2,...,X3 be a random sample from b(1,p) (i.e. n bernoulli trials). Thus Y=ΣXi is b(n,p). Show that X bar = Y/n is an unbiased estimator of p.
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