# Statistics: Standard Normal Distribution

by shawnz1102
Tags: distribution, normal, standard, statistics
 Sci Advisor HW Helper PF Gold P: 2,602 I have no idea what your Table E contains, but the area under the normal distribution is given by $$\Phi(z) = \frac{1}{\sqrt{2\pi}} \int_{\infty}^z e^{-x^2} dx = \frac{1}{2} \left(1+\text{erf}\left(\frac{z}{\sqrt{2}}\right)\right),$$ where $$\text{erf}(t)$$ is the error function. The error function can be computed by Wolfram Alpha or looked up in tables.