Properties of Mean and Variance (VCE SSCE Mathematical Methods): Quizzes

$E[g(X)] \neq g[E(X)]$

Linear functions of form $aX + b$

$aE(X) + b$

$a^2\text{Var}(X)$

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$21$

$18$

$f(x - b)$

$\frac{1}{a}f\left(\frac{x}{a}\right)$

$\frac{1}{a}f\left(\frac{x-b}{a}\right)$