Use the identity of Theoretical Exercise 5 to derive E[X2] when X is an exponential random variable
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Theoretical Exercise 5
Use the result that, for a nonnegative random variable Y,
![E[Y] = P{Y > t} dt](https://dsd5zvtm8ll6.cloudfront.net/si.question.images/image/images9/588-M-S-C-R-V(719)-1.png)
to show that, for a nonnegative random variable X,
![Use the identity of Theoretical Exercise 5 to derive E[X2]](https://dsd5zvtm8ll6.cloudfront.net/si.question.images/image/images9/588-M-S-C-R-V(719)-2.png)
and make the change of variables t = xn.
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