From empirical probability,
[tex]\begin{gathered} Z-\text{score = }\frac{X-\mu}{\sigma} \\ =\frac{100-73}{9} \\ =3 \\ \text{That means 100=}\mu+3\sigma \end{gathered}[/tex]
The percentage of the distribution that lies between 0 to 100 is
[tex]\begin{gathered} The\text{ percentage probability of distribution that lie between }\mu+3\sigma\text{ and }\mu-3\sigma\text{ plus } \\ \text{percentage of distribution that lie between 0 and }\mu-3\sigma \\ \end{gathered}[/tex][tex]\begin{gathered} =\text{ 99.7 + }\frac{100-99.7}{2} \\ =99.7\text{ + 0.15} \\ =99.85\text{ \% (2 decimal places)} \end{gathered}[/tex]
