Suppose that, for a certain mathematics class, the scores are normally distributed with a mean of 75 and a standard deviation of 7. The teacher wishes to give A's to the top 6% of the students and F's...

Suppose that, for a certain mathematics class, the scores are normally distributed with a mean of 75 and a standard deviation of 7. The teacher wishes to give A's to the top 6% of the students and F's to the bottom 6%. The next 16% in either direction will be given B's and D's, with the other students receiving C's. Find the bottom cutoff for receiving an A grade. (You may need to use the standard normal distribution table. Round your answer to the nearest whole number.)