Chapter 5 - Continuous Random Variables - Exercises 5.20 - 5.52 - Applying the Concepts - Basic - Page 242: 5.38c

$x=99.94$

$p(z\lt z_0)=.25$ $p(z\gt -z_0)=.25$ $p(0\lt z\lt -z_0)=p(z\gt0)-p(z\gt -z_0)=.5-.25=.25$ According to table IV, page 773: If $p(0\lt z\lt -z_0)=.25$ then $z_0\approx.67$ $z_0=-.67$ $z_0=\frac{x-\mu}{\sigma}$ $-.67=\frac{a-105.3}{8.0}$ $x=105.3-.67(8.0)=99.94$