Question: Suppose Y1, Y2, . . . , Yn is a random sample from the uniform pdf over [0, 1]. The geometric mean of the numbers

Suppose Y1, Y2, . . . , Yn is a random sample from the uniform pdf over [0, 1]. The geometric mean of the numbers is the random variable n√Y1Y2 · · · · · Yn. Compare the expected value of the geometric mean to that of the arithmetic mean .

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