Question: Generalize Example 44.4 as follows: Let X be a Uniform random variable on the interval (0,1), i.e., X is Uniformly distributed with 0 < X

Generalize Example 44.4 as follows:
Let X be a Uniform random variable on the interval (0,1), i.e., X is Uniformly distributed with 0 < X < 1. Let Y = Xn where n is any positive integer. Find E(Y).

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