(Solved): Exam Scores An instructor gives a 100 -point examination in which the grades are normally distribut ...

Exam Scores An instructor gives a 100 -point examination in which the grades are normally distributed. The mean is 55 and the standard deviation is 6 . If there are \( 5 \% \ldots \) 's and \( 5 \% \mathrm{Fs}, 15 \% \mathrm{~B} \) 's and \( 15 \% D \) s, and \( 60 \% \mathrm{Cs} \), find the scores that divide the distribution into those categories. Round the cutoff scores to the nearest whole number. Round intermediate \( z \)-value calculations to 2 decimal places.