Continuous Distributions 2 (AQA A-Level Further Maths): Flashcards

Integration

$E(X) = \int_{-\infty}^{\infty} xf(x)\,dx$

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

$F(x) = P(X \leq x)$

$f(x) = \frac{d}{dx}F(x)$

$\int_{-\infty}^{\infty} f(x)\,dx = 1$

$F(M) = 0.5$

$E(R) = \frac{a+b}{2}$

$\text{Var}(R) = \frac{(b-a)^2}{12}$

$f(r) = \frac{1}{b-a}$ for $a < r < b$