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user 18076
The expected value of a random variable; or a location measure for a sample.
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Expected value of $Ye^X$ where $X \sim U(0,1)$ and $Y \sim U(0,1)$
There is definitely an easier approach to this problem (hints were given in the comments), but since you asked about a specific step, I'll go from there.
You want to compute the pdf $f_{e^X}(x)$. Le …
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