Textbook Problem

Using Technology In Exercises 17-22, use a symbolic integration utility to find the mean, variance, and standard deviation of the probability density function. Then find the percent of the distribution that lies within the given standard deviations of the mean. See Example 3.

Function

StandardDeviations

$f(x)=\frac{1}{2\sqrt{2\pi }}{e}^{-\left(x-8\right)}{{}^{{}^2}}^{/8},-\infty <x<\infty \text{ 2}$