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Scores on a 100-point final exam administered to all applied calculus classes at a large university...

Scores on a 100-point final exam administered to all applied calculus classes at a large university are normally distributed with a mean of 70.7 and a standard deviation of 27.65.

(a) What percentage of students taking the test had scores between 60 and 80? (Round your answer to one decimal place.)

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(b) At what score was the rate of change of the probability density function for the scores a maximum?

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