Standard Normal Distribution (AQA A-Level Mathematics): Flashcards

The boundary associated with a given probability

Area to the LEFT of a boundary

Calculate area to the left: $1 - P(X > b)$

Number of standard deviations from the mean

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

Yes, because normal distribution is symmetrical about the mean

Calculate z algebraically, find z from $N(0,1)$ using inverse normal, solve equations simultaneously

Calculate z algebraically, find z from $N(0,1)$ using inverse normal, solve equations simultaneously

$P(X < c) = P(X < a) + P(a < X < c)$

z standardizes values by measuring standard deviations from the mean