Respuesta :
Explanation:
Step 1:
We will calculate the z-score using the formula below
[tex]\begin{gathered} z=\frac{x-\mu}{\sigma} \\ where. \\ \mu=70million \\ \sigma=19million \\ x=76million \end{gathered}[/tex]By substituting the values, we will have
[tex]\begin{gathered} z=\frac{x-\mu}{\sigma} \\ z=\frac{76-70}{19} \\ z=\frac{6}{19} \\ z=0.3158 \end{gathered}[/tex]Step 2:
We will have to calculate the probabaility below
Using a p-valu calculat
[tex]\begin{gathered} p=0.3761 \\ hence, \\ the\text{ percentage will be} \\ 0.3761\times100=37.61\% \end{gathered}[/tex]Hence,
The final answer to the nearest hundredth is
[tex]\begin{equation*} 37.61\% \end{equation*}[/tex]