Chapter 5 - Continuous Random Variables - Exercises 5.20 - 5.52 - Applying the Concepts - Basic - Page 243: 5.43a

$p(500\lt x\lt700)=.4107$

$z=\frac{x-\mu}{\sigma}=\frac{500-605}{185}=-.57$ $z=\frac{x-\mu}{\sigma}=\frac{700-605}{185}=.51$ According to table IV, page 773: $p(0\lt z\lt.51)=.1950$ $p(0\lt z\lt.57)=.2157$ $p(500\lt x\lt700)=p(-.57\lt z\lt.51)=p(-.57\lt z\lt0)+p(0\lt z\lt.51)=p(0\lt z\lt.57)+p(0\lt z\lt.51)=.2157+.1950=.4107$