Scores on a 100-point final exam administered to all applied calculus classes at a large university are normally distributed with a mean of 74.7 and a standard deviation of 7.9. (a) What percentage of students taking the test had scores between 60 and 80? (Round your answer to two decimal places.) 71.75 % (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.) 0257 (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 82.6? 15.85 X% (e) According to the Empirical Rule, the lowest 2.5% of the scores were below

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Scores on a 100-point final exam administered to all applied calculus classes at a large university are normally distributed with a mean of 74.7 and a standard deviation of 7.9.
(a) What percentage of students taking the test had scores between 60 and 80? (Round your answer to two decimal places.)
71.75
%
(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.)
0257
(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 82.6?
15.85
X%
(e) According to the Empirical Rule, the lowest 2.5% of the scores were below
Transcribed Image Text:Scores on a 100-point final exam administered to all applied calculus classes at a large university are normally distributed with a mean of 74.7 and a standard deviation of 7.9. (a) What percentage of students taking the test had scores between 60 and 80? (Round your answer to two decimal places.) 71.75 % (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.) 0257 (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 82.6? 15.85 X% (e) According to the Empirical Rule, the lowest 2.5% of the scores were below
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