Appendix

The Standard Normal Distribution

This table gives the area under the standardized normal curve from 0 to z, as shown by the shaded portion of the following figure.

Examples: If z is the standard normal random variable, then

Prob (0 ≤ z ≤ 1.32) = 0.4066

Prob (z ≥ 1.32) = 0.5000 − 0.4066 = 0.0934

Prob(z ≥ 1.32) = Prob (z ≥ 0) + Prob (0 ≤ z ≤ 1.32) = 0.5000 + 0.4066 = 0.9066

Prob (z ≤ − 1.32) = Prob (z ≥ 1.32) = 0.0934 (by symmetry)