Continuous Random Variables (Edexcel A-Level Further Mathematics): Flashcards

Any value across a continuous scale (not just discrete values)

$E(X) = \int x p(x) dx$

$\text{Var}(X) = E(X^2) - E(X)^2$

$E(X^2) = \int x^2 p(x) dx$

Maximum of its probability density function (if maximum exists)

Value of $x$ where 0.5 of probability lies on each side

Solve $F(x) = 0.5$

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

$aE(X) + b$

$g(a) = G'(a)$