Question: Use the result that, for a nonnegative random variable Y, to show that, for a nonnegative random variable X, and make the change of variables

Use the result that, for a nonnegative random variable Y,
E[Y] = P{Y > t} dt

to show that, for a nonnegative random variable X,

Use the result that, for a nonnegative random variable Y,to

and make the change of variables t = xn.

E[Y] = P{Y > t} dt

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