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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 74.5 and a standard deviation of 7.5. (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?

Scores on a 100-point final exam administered to all applied calculus classes at a large university are normally distributed with a mean of 74.5 and a standard deviation of 7.5. (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?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 74.5 and a standard deviation of 7.5. (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 82? % (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 74.5 and a standard deviation of 7.5. (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 82? % (e) According to the Empirical Rule, the lowest 2.5% of the scores were below
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