Expected Value

The expected value is a Weighted Average of all the values $X$, a random variable, can take.

$\mathbb{E}(x)=\frac{{\sum }_i^N{w}_i{x}_i}{{\sum }_i^N{w}_i}$

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Properties:

• If two random variables $X,Y$ are added together, the expected value of the result is the sum of both expected values: $E(Z)=E(X)+E(Y)$