Question: Suppose that the random variables X1, ..., Xn form a random sample of size n from the uniform distribution on the interval [0, 1].

Suppose that the random variables X1, ..., Xn form a random sample of size n from the uniform distribution on the interval [0, 1]. Let Y = min{X1, ..., Xn}, and let Yn = max{X1, ..., Xn}. Find E(Y) and E(Yn). p.s: The uniform distribution on [0, 1] has pdf 1 on [0, 1] and zero otherwise.

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