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3. Let X~ Bernoulli(p), i = 1,2,...,n. a. What are the mean and variance of X3? You do NOT need to prove this, just

 

3. Let X~ Bernoulli(p), i = 1,2,...,n. a. What are the mean and variance of X3? You do NOT need to prove this, just state it. b. Assume you want to estimate p. Show that X3 is an unbiased estimator of p. C. Now show that X(n) = X is an unbiased estimator of p n d. Show that if m>n that the variance of X(m) is smaller than the variance of X(n).

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a b Let c X X2 Mean of X3 P Variance of X P1P Xz E X P X3 is an Xw El xu ... blur-text-image

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