SOLUTION:
The given percentage is 98%
This is equivalent to 0.98
First find P(Z>0.98)
This gies:
[tex]P(z<0.98)=2.054[/tex]Uing the score formula:
[tex]z=\frac{x-\mu}{\sigma}[/tex]Substitute z=2.054 and the given values:
[tex]2.054=\frac{x-25.1}{11.3}[/tex]Solve the equation for x:
[tex]\begin{gathered} 23.21=x-25.1 \\ 23.21+25.1=x \\ x=48.31 \end{gathered}[/tex]Therefore the required answer is 48.31 minutes.
