Chapter 5 - Continuous Random Variables - Exercises 5.73 - 5.92 - Learning the Mechanics - Page 256: 5.79a

$P(x\leq35)=.1788$

$q=1-p=1-.40=.60$ $\mu=np=100(.40)=40$ $\sigma=\sqrt {npq}=\sqrt {100(.40)(.60)}=4.90$ $\frac{(35+.5)-40}{4.90}=-.92$ $P(x\leq35)=P(z\leq-.92)=P(z\leq0)-P(-.92\leq z\leq0)=P(z\geq0)-P(0\leq z\leq.92)=.5-.3212=.1788$