Continuous Random Variables (VCE SSCE Mathematical Methods): Quizzes

Continuous take any value in range

$0$

$f(x) \geq 0$ for all $x$

$1$

$\Pr(a < X < b)$ and $\Pr(a \leq X \leq b)$

Yes, $f(x)$ values are not probabilities

$\int_a^b f(x) dx$

$\int_0^2 cx dx = 1$

$\lim_{k \to \infty} \int_a^k f(x) dx$

Transforms into a smooth curve