A philosophy professor assigns letter grades on a test according to the following scheme. A: Top 11 % of scores B: Scores below the top 11 % and above the bottom 59 % C: Scores below the top 41 % 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 81.5 and a standard deviation of 8. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.

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A philosophy professor assigns letter grades on a test according to the following scheme.
A: Top 11 % of scores
B: Scores below the top 11 % and above the bottom 59 %
C: Scores below the top 41 % 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 81.5 and a standard deviation of 8. Find the minimum score required for an A grade.
Round your answer to the nearest whole number, if necessary.
Transcribed Image Text:A philosophy professor assigns letter grades on a test according to the following scheme. A: Top 11 % of scores B: Scores below the top 11 % and above the bottom 59 % C: Scores below the top 41 % 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 81.5 and a standard deviation of 8. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.
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