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)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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