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A company manufactures a wash-down motor that is used in the food processing industry. The motor is marketed with a warranty that guarantees it will be replaced free of charge if it fails within the first 13000 hours of operation. On average, the wash-down motors operate for 17000 hours with a standard deviation of 3950 hours before failing. The number of operating hours before failure is approximately normally distributed. If the company wants to design a wash-down motor so that no more than 1% are replaced free of charge, what would the average hours of operation before failure have to be if the standard deviation remains at 3950 hours?

A company manufactures a wash-down motor that is used in the food processing industry. The motor is marketed with a warranty that guarantees it will be replaced free of charge if it fails within the first 13000 hours of operation. On average, the wash-down motors operate for 17000 hours with a standard deviation of 3950 hours before failing. The number of operating hours before failure is approximately normally distributed. If the company wants to design a wash-down motor so that no more than 1% are replaced free of charge, what would the average hours of operation before failure have to be if the standard deviation remains at 3950 hours?

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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A company manufactures a wash-down motor that is used in the food processing industry. The motor is marketed with a warranty that guarantees it will be replaced free of charge if it fails within the first 13000 hours of operation. On average, the wash-down motors operate for 17000 hours with a standard deviation of 3950 hours before failing. The number of operating hours before failure is approximately normally distributed. If the company wants to design a wash-down motor so that no more than 1% are replaced free of charge, what would the average hours of operation before failure have to be if the standard deviation remains at 3950 hours?
Transcribed Image Text:A company manufactures a wash-down motor that is used in the food processing industry. The motor is marketed with a warranty that guarantees it will be replaced free of charge if it fails within the first 13000 hours of operation. On average, the wash-down motors operate for 17000 hours with a standard deviation of 3950 hours before failing. The number of operating hours before failure is approximately normally distributed. If the company wants to design a wash-down motor so that no more than 1% are replaced free of charge, what would the average hours of operation before failure have to be if the standard deviation remains at 3950 hours?
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