motor that is used in the food processing industry. The motor is marketed with a
ID: 3045049 • Letter: M
Question
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 14,000 hours the wash-down motors before failing The number of operating hours before failure is approximately normally dist 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 19,500 hours? C. If the company wants to design a wash-down motor so that no more than 1% are replaced free of charge, what s of operation On average, the wash-down motors operate for 16,000 hours with a standard deviation of 1,750 have to be if the standard deviation remains at 1,750 hours? would the average hours of operation before failure a The probability that a wash-down motor wil have to be replaced free of charge is Round to four decimal places as needed )Explanation / Answer
a) P(X<14000)
= P(Z<(14000-16000)/1750)
= P(Z<-1.14)
= 0.1265
2)
P(X>19500)
= P(Z>(19500-16000)/1750)
= P(Z>2)
= 0.9773
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