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Distributionshard
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Let X1,X2,…,XnX_1, X_2, \dots, X_nX1​,X2​,…,Xn​ be independent Uniform(0,θ)\text{Uniform}(0, \theta)Uniform(0,θ) random variables. Let Y=min⁡(X1,…,Xn)Y = \min(X_1, \dots, X_n)Y=min(X1​,…,Xn​). What is the expected value of YYY?