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6. A professor believes that if a class is allowed to work on an exam as long as desired, the times spent by the students would be approximately bell-shaped and symmetric with mean 40 minutes and standard deviation 5 minutes. (a) Using the Empirical Rule, approximately what percentage of students in the class will finish the exam in 30 to 50 minutes? (b) Using the Empirical Rule, approximately how long should be allotted for the exam if the professor wants 97.5% of the class to finish the exam comfortably timewise? (c) If only 45 minutes are allotted for the exam, using the Empirical Rule, approximately what percenttage of the students in class will not be able to finish the exam timewise?

6. A professor believes that if a class is allowed to work on an exam as long as desired, the times spent by the students would be approximately bell-shaped and symmetric with mean 40 minutes and standard deviation 5 minutes. (a) Using the Empirical Rule, approximately what percentage of students in the class will finish the exam in 30 to 50 minutes? (b) Using the Empirical Rule, approximately how long should be allotted for the exam if the professor wants 97.5% of the class to finish the exam comfortably timewise? (c) If only 45 minutes are allotted for the exam, using the Empirical Rule, approximately what percenttage of the students in class will not be able to finish the exam timewise?

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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3. 6. A professor believes that if a class is allowed to work on an exam as long as desired, the times spent by the students would be approximately bell-shaped and symmetric with mean 40 minutes and standard deviation 5 minutes. (a) Using the Empirical Rule, approximately what percentage of students in the class will finish the exam in 30 to 50 minutes? (b) Using the Empirical Rule, approximately how long should be allotted for the exam if the professor wants 97.5% of the class to finish the exam comfortably timewise? (c) If only 45 minutes are allotted for the exam, using the Empirical Rule, approximately what percenttage of the students in class will not be able to finish the exam timewise?
Transcribed Image Text:3. 6. A professor believes that if a class is allowed to work on an exam as long as desired, the times spent by the students would be approximately bell-shaped and symmetric with mean 40 minutes and standard deviation 5 minutes. (a) Using the Empirical Rule, approximately what percentage of students in the class will finish the exam in 30 to 50 minutes? (b) Using the Empirical Rule, approximately how long should be allotted for the exam if the professor wants 97.5% of the class to finish the exam comfortably timewise? (c) If only 45 minutes are allotted for the exam, using the Empirical Rule, approximately what percenttage of the students in class will not be able to finish the exam timewise?
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