Continuous Distributions (HSC SSCE Mathematics Advanced): Flashcards

Exactly zero

Over intervals, not single points

$P(X \leq x)$

$f(x) = F'(x)$ (PDF is derivative of CDF)

$f(x) \geq 0$ and $\int_a^b f(x)dx = 1$

$\int_h^k f(x)dx$ (area under curve)

$F(a) = 0$, $F(b) = 1$

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

Set $F(x) = \frac{1}{2}$, solve for $x$

No difference (same probability)