Let X be a nonnegative random variable.Prove thatE[X]

Chapter 8, Problem 8.21

(choose chapter or problem)

Let X be a nonnegative random variable. Prove that

\(E[X] \leq\left(E\left[X^{2}\right]\right)^{1 / 2} \leq\left(E\left[X^{3}\right]\right)^{1 / 3} \leq \ldots\)

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