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Suppose that X1,..., Xn form a random sample from the uniform distribution on the interval [0,θ],...

Suppose that X1,..., Xn form a random sample from the uniform distribution on the interval [0,θ], where the value of the parameter θ is unknown (θ>0).
(1)What is the maximum likelihood estimator of θ?
(2)Is this estimator unbiased? (Indeed, show that it underestimates the parameter.)

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