The number of working hours before failure is approximately normally distributed. What is the probability that a condenser will have to be replaced free of charge? b. What percentage of condensers can be expected to work for more than 21.100 hours? c. If the company wants to design a condenser 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 2.550 hours?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A manufacturing company in London produces a specific type of condenser. The condenser is sold with a condition
that guarantees it will be replaced with the new one, free of charge if it breaks down in the first 13.000 working
hours. On average, the condensers work for 16.000 hours with a standard deviation of 2.550 hours before failing.
The number of working hours before failure is approximately normally distributed. What is the probability that a
condenser will have to be replaced free of charge? b. What percentage of condensers can be expected to work for
more than 21.100 hours? c. If the company wants to design a condenser 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 2.550 hours?|
Transcribed Image Text:A manufacturing company in London produces a specific type of condenser. The condenser is sold with a condition that guarantees it will be replaced with the new one, free of charge if it breaks down in the first 13.000 working hours. On average, the condensers work for 16.000 hours with a standard deviation of 2.550 hours before failing. The number of working hours before failure is approximately normally distributed. What is the probability that a condenser will have to be replaced free of charge? b. What percentage of condensers can be expected to work for more than 21.100 hours? c. If the company wants to design a condenser 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 2.550 hours?|
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