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The expected value of a random variable is a weighted average of all possible values a random variable can take on, with the weights equal to the probability of taking on that value.

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Expected value of nonlinear combination of random variables with known expected value

Suppose that the random variable $x$ has expected value $0$ and known finite moments $m_{xi}$ and that it can take any real value, and that the random variable $y$ has expected value $1$ and known fin …
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