2.6 Standardizing Normally Distributed Random Variables

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.

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