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Math — Expectation & Variance

Mean and variance of a discrete random variable.

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E[X] = \sum x_i p_i

\operatorname{Var}(X) = E[X^2] - (E[X])^2

E[aX + b] = aE[X] + b

\operatorname{Var}(aX + b) = a^2\operatorname{Var}(X)