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

cores on a 100-point final exam administered to all applied calculus classes at a large university are normally distributed with a mean of 72.3 and a standard deviation of 6.9.

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

(b)What is the probability that a randomly chosen student earned an "A" (90 or above) on the test? (Round your answer to 4 decimal places.)


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


(d) According to the Empirical Rule, approximately what percentage of scores were above 79.2?
%

(e) According to the Empirical Rule, the lowest 2.5% of the scores were below .

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