I discuss standardizing normally distributed random variables (turning variables with a normal distribution into something that has a standard normal distribution). I work through an example of a probability calculation, and an example of finding a percentile of the distribution. It is assumed that you can find values from the standard normal distribution, using either a table or a computer.

The mean and variance of adult female heights in the US is estimated from statistics found in the National Health Statistics Reports:

McDowell MA, Fryar CD, Ogden CL, Flegal

KM. Anthropometric reference data for children

and adults: United States, 2003-2006.

National health statistics reports; no 10.

Hyattsville, MD: National Center for Health

Statistics. 2008.