Mean and Standard Deviation of Random Variables

AP Statistics· difficulty 3/5

Var(X) = E[(X - μ)²] for a discrete RV with possible values x_i is

A
$Σ x_i\cdotP(x_i)$
B
$Σ (x_i - μ)²\cdotP(x_i)$
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C
$Σ (x_i - μ)\cdotP(x_i)$
D
$(E(X))²$

Explanation

Squared deviation weighted by probability.

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