Scores on a 100-point final exam administered to all applied calculus classes at a large university are normally distributed with a mean of 73.9 and a standard deviation of 6.5. (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 80.47 % (e) According to the Empirical Rule, the lowest 2.5% of the scores were below
Scores on a 100-point final exam administered to all applied calculus classes at a large university are normally distributed with a mean of 73.9 and a standard deviation of 6.5. (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 80.47 % (e) According to the Empirical Rule, the lowest 2.5% of the scores were below
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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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 73.9 and a standard deviation of 6.5.
(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 80.4?
%
(e) According to the Empirical Rule, the lowest 2.5% of the scores were below
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