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The final marks in a statistics course are normally distributed with a mean of 70 and...

The final marks in a statistics course are normally distributed with a mean of 70 and a variance of 100. The professor must convert all marks to letter grades. He decides that he wants 10% A's, 30% B's, 40% C's, 15% D's and 5% F's. Determine the cutoffs for each letter grade.

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