A humanities professor assigns letter grades on a test according to the following scheme. Top 8% of scores B: Scores below the top 8% and above the...

A humanities professor assigns letter grades on a test according to the following scheme.

A: Top 8% of scores

B: Scores below the top 8% and above the bottom 58%

C: Scores below the top 42% and above the bottom 22%

D: Scores below the top 78% and above the bottom 7%

F: Bottom 7% of scores

Scores on the test are normally distributed with a mean of 77.1 and a standard deviation of 7.4. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.