Question: Suppose that the random variables X1, . . . , Xn form a random sample of size n from the uniform distribution on the interval

Suppose that the random variables X1, . . . , Xn form a random sample of size n from the uniform on the interval [0, 1]. Let Y1 = min{X1, . . . , Xn}, and let Yn = max{X1,. . . , Xn}. Find E(Y1) and E(Yn).

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