Chapter 6.4, Problem 237E

[T] Suppose that a set of standardized test scores is normally distributed with mean $\mu$ = 100 and standard deviation $\sigma$ = 10. Set up an integral that represents the probability that a test score will be between 90 and 110 and use the integral of the degree 10 Maclaurin polynomial of $\frac{1}{\sqrt{2\pi }}{e}^{-x}{{}^{{}^2}}^{/2}$ to estimate this probability.