Solving Problems Using the Normal Distribution (VCE SSCE Mathematical Methods): Flashcards

Finds probability a variable falls within a certain range

$\text{Pr}(A|B) = \frac{\text{Pr}(A \cap B)}{\text{Pr}(B)}$

$Z = \frac{X - \mu}{\sigma}$

$-\infty$ or large negative number (e.g., -99999)

Between 0 and 1

$\mu = \frac{\text{upper limit} + \text{lower limit}}{2}$

$X < a$ (the more restrictive condition)

Find value corresponding to a given probability

$Z \sim N(0,1)$

Variance: $\sigma^2$, Standard deviation: $\sigma$