X1, X2, and X3are independent random variables with a uniform (Beta - 1, Beta + 1)...

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Statistics

X1, X2, and X3are independent randomvariables with a uniform (Beta - 1, Beta + 1) distribution.

The distribution is fx(x) = 1/2 for Beta - 1 < x< Beta + 1

Beta(hat) = (X1 + X2 +X3)/3

Find the expected value and variance of beta(hat).

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