If $U$ is a Uniform(0,1) random variable and $X\geq0$ is another random variable, then how do you determine $E(X\mid U(1-U))$?
Conditional Expectation on a function of a Random Variable
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probability-theory
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2It depends on what you know about $X$. So far you haven't given enough information. – 2012-12-01
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0In general, you would calculate the joint distribution of $X$ and $U(1-U)$, and divide by the marginal of $U(1-U)$ to find the conditional. Then take the expectation. – 2012-12-01
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2If you don't know the JOINT distribution, or anything else about the relationship between $X$ and $U$, then you haven't really asked a question. – 2012-12-01