In: Statistics and Probability
An English professor assigns letter grades on a test according to the following scheme.
A: Top 15% of scores
B: Scores below the top 15% and above the bottom 64%
C: Scores below the top 36% and above the bottom 21%
D: Scores below the top 79% and above the bottom 8%
F: Bottom 8% of scores
Scores on the test are normally distributed with a mean of 76.5 and a standard deviation of 8.4. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.