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Problem 5) The average grade on a Probability Statistics Final Exam is 77% with a known variance of 9%. APUS wants to design a criterion that requires as least 90% of all Probability Final Exams not differ from the mean by more than 4.5% a) Use Chebyshev's inequality to establish whether the design criterion is satisfied. b) Would the design criterion be satisfied if it were known that the retrieval time is normally distributed with a mean of 77% and a variance of 9%?

Problem 5) The average grade on a Probability Statistics Final Exam is 77% with a known variance of 9%. APUS wants to design a criterion that requires as least 90% of all Probability Final Exams not differ from the mean by more than 4.5% a) Use Chebyshev's inequality to establish whether the design criterion is satisfied. b) Would the design criterion be satisfied if it were known that the retrieval time is normally distributed with a mean of 77% and a variance of 9%?

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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Problem 5) The average grade on a Probability Statistics Final Exam is 77% with a known variance of 9%. APUS wants to design a criterion that requires as least 90% of all Probability Final Exams not differ from the mean by more than 4.5% a) Use Chebyshev's inequality to establish whether the design criterion is satisfied. b) Would the design criterion be satisfied if it were known that the retrieval time is normally distributed with a mean of 77% and a variance of 9%?
Transcribed Image Text:Problem 5) The average grade on a Probability Statistics Final Exam is 77% with a known variance of 9%. APUS wants to design a criterion that requires as least 90% of all Probability Final Exams not differ from the mean by more than 4.5% a) Use Chebyshev's inequality to establish whether the design criterion is satisfied. b) Would the design criterion be satisfied if it were known that the retrieval time is normally distributed with a mean of 77% and a variance of 9%?
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