Suppose the random variables

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Suppose the random variables X1 X2 . . . Xn have the same expectation µ.a. Is S = 1/2X1 1/3X2 1/6X3 an unbiased estimator for µ?b. Under what conditions on constants a1 a2 . . . an isT = a1X1 a2X2 · · · anXnan unbiased estimator for µ?