# To Explain:Linearity of expectation of random variables.

To Explain:Linearity of expectation of random variables.
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Derrick
Given:
n random variables ${X}_{1},{X}_{2},....,{X}_{n}$
Formula used:
$E\left({X}_{1},+{X}_{2},...,+{X}_{n}\right)=E\left({X}_{1}\right)+E\left({X}_{2}\right)+...+E\left({X}_{n}\right)$
Linearity means additivity over the variables. Thus (1) expresses the fact that expectation is additive over the random variables, in other words, expectation is a linear function.