Suppose that X1,...,X5 is a random sample from the uniform distribution with parameter θ (i.e., these are independent uniform random variables with parameter θ, where θ is unknown). Define the following estimator (a random variable that is a function of X1,...,X5):     Xmax = k max(X1,...,X5), where k will be selected later. (a) Find the density of Xmax (it will depend on θ and k). (b) Find k such that Xmax is an unbiased estimator for θ.

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