Consider a random sample X,..., X, from the pdf f(x; 0) = .5(1 +0x) -1x1 where -101

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Consider a random sample X,..., X, from the pdf f(x; 0) = .5(1 +0x) -1x1 where -101 (this distribution arises in particle physics). Show that = 3X is an unbiased estimator of 0.

[Hint: First determine = E(X) = E(X).]

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