A teacher gives a test to a large group of students. The results are approximately normal with a mean of 73 and a standard deviation of 6. The teacher wishes to give A’s to the top 2.5% of the students and F’s to the bottom 2.5%. A grade of B is given to the next 14.5% with D’s given similarly. All other students will get C’s. Find the numerical limits for each letter grade. Round to the nearest whole number.
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