[tex]\begin{gathered} \mu=47,750 \\ \sigma=5,680 \\ X>45,500 \\ Z=\frac{X-\mu}{\sigma} \\ Z=\frac{45,500-47,750}{5,680} \\ Z=\frac{-2,250}{5,680} \\ Z=-0.3961 \\ P(X>45,500)\text{ using chart for z} \\ P(X>45,500)\text{ =}0.654=65.4\text{ \%} \\ \text{The }probability\text{ }is\text{ }0.654\text{ or }65.4\text{ \%} \end{gathered}[/tex]
