Question: 13. Let X be a uniform random variable over the interval (0, 1 + ), where 0 < < 1 is a given parameter.

13. Let X be a uniform random variable over the interval (0, 1 + θ), where 0 < θ < 1 is a given parameter. Find a function of X, say g(X), so that E



g(X)



= θ2.

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