Answer :
[tex]\begin{gathered} \mu=56.7 \\ \sigma=7.4 \\ x1=58.2 \\ x2=72.6 \\ z=\frac{x-\mu}{\sigma} \\ z1=\frac{58.2-56.7}{7.4} \\ z1=0.203 \\ z2=2.15 \\ \text{for z1=0.203} \\ P(z1)=0.5910 \\ \text{for z2=2.15} \\ P(z2)=0.9842 \\ P(z2-z1)=0.9842-0.5910 \\ P(z2-z1)=0.3932\approx0.393 \\ \text{The probability that the height of a randomly chosen Child } \\ is\text{ betw}en\text{ 58.2 and 72.6 inches is 0.393} \end{gathered}[/tex]