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6. For a random sample of size n from a Bernoulli distribution with parameter p, use Rao-Blackwell Theorem to find an unbiased estimator of

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6. For a random sample of size n from a Bernoulli distribution with parameter p, use Rao-Blackwell Theorem to find an unbiased estimator of each of the following parametric functions: a) (p)= p b) (p)= p(1-p) c) (p)= p(1-p) 7. Suppose that we have iid Poisson (2) random variables X1, X2, X, where > 0 is the unknown parameter with n4. Use Rao-Blackwell Theorem to derive an unbiased estimator of each of the following parametric functions: ()=e^ a) b) ()=e^ c) ()=e

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