Probability Density Function (Edexcel A-Level Further Mathematics): Flashcards

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

$f(x) \geq 0$

$0$ (infinitely thin strip)

$F(x) = \int_{-\infty}^x f(t) \, dt$

$P(X \leq k)$

$1$

$0$

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

Mode < Median or Mean

Mode > Median or Mean