6.1.19-T Question Help ▼ 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 12,000 hours of operation. On average, the wash-down motors operate for 14,000 hours with a standard deviation of 1,750 hours before failing. The number of operating hours before failure is approximately normally distributed. a. What is the probability that a wash-down motor will have to be replaced free of charge? b. What percentage of wash-down motors can be expected to operate for more than 17,500 hours? c. 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 1,750 hours? a. The probability that a wash-down motor will have to be replaced free of charge is (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer. 2 parts remaining Clear All Check Answer

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6.1.19-T
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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 12,000 hours of operation. On average, the wash-down motors operate for 14,000 hours with a standard deviation of 1,750 hours before failing.
The number of operating hours before failure is approximately normally distributed.
a. What is the probability that a wash-down motor will have to be replaced free of charge?
b. What percentage of wash-down motors can be expected to operate for more than 17,500 hours?
c. 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 1,750 hours?
a. The probability that a wash-down motor will have to be replaced free of charge is
(Round to four decimal places as needed.)
Enter your answer in the answer box and then click Check Answer.
?
parts
remaining
Clear All
Check Answer
Transcribed Image Text:6.1.19-T Question Help 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 12,000 hours of operation. On average, the wash-down motors operate for 14,000 hours with a standard deviation of 1,750 hours before failing. The number of operating hours before failure is approximately normally distributed. a. What is the probability that a wash-down motor will have to be replaced free of charge? b. What percentage of wash-down motors can be expected to operate for more than 17,500 hours? c. 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 1,750 hours? a. The probability that a wash-down motor will have to be replaced free of charge is (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer. ? parts remaining Clear All Check Answer
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