Let X ~ BIN (n,p) and p hat = X/n. (a) Find a constant c so that E[c(p hat)(1-p hat)] = p(1-p). (b)
Question: Let X ~ BIN (n,p) and p hat = X/n.
(a) Find a constant c so that E[c(p hat)(1-p hat)] = p(1-p).
(b) Find an unbiased estimator of Var (X).
(c) Consider a random sample of size N from BIN (n,p). Find unbiased estimators of p and Var (X) based on the random sample.
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Type of Deliverable: Word Document
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