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A warehouse distributor of carpet keeps 6,000 yards of deluxe shag carpet in stock during a month. The average demand for carpet from the stores that purchase from the distributor is 4,500 yards per month, with a standard deviation of 900 yards. What is the probability that a customer's order will not be met during a month? Assume carpet demand is normally distributed.  c. From actual road tests on newly manufactured tires, Hankook Tires Co. estimated that the mean tire mileage is 36,500 miles and that the standard deviation is 5000 miles. The company is considering a warranty that will provide a discount on replacement tires if the original tires do not provide the guaranteed mileage.

A warehouse distributor of carpet keeps 6,000 yards of deluxe shag carpet in stock during a month. The average demand for carpet from the stores that purchase from the distributor is 4,500 yards per month, with a standard deviation of 900 yards. What is the probability that a customer's order will not be met during a month? Assume carpet demand is normally distributed.  c. From actual road tests on newly manufactured tires, Hankook Tires Co. estimated that the mean tire mileage is 36,500 miles and that the standard deviation is 5000 miles. The company is considering a warranty that will provide a discount on replacement tires if the original tires do not provide the guaranteed mileage.

College Algebra
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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b. A warehouse distributor of carpet keeps 6,000 yards of deluxe shag carpet in stock during a month. The average demand for carpet from the stores that purchase from the distributor is 4,500 yards per month, with a standard deviation of 900 yards.
What is the probability that a customer's order will not be met during a month? Assume carpet demand is normally distributed. 

c. From actual road tests on newly manufactured tires, Hankook Tires Co. estimated that the mean tire mileage is 36,500 miles and that the standard deviation is 5000 miles. The company is considering a warranty that will provide a discount on replacement tires if the original tires do not provide the guaranteed mileage. Assuming data is normally distributed, what should the warranty mileage be if the company wants no more than 10% of the tires to be eligible for the discount warranty?

b. A warehouse distributor of carpet keeps 6,000 yards of deluxe shag carpet in stock during a month. The average demand for carpet from the stores that purchase from the distributor is 4,500 yards per month, with a standard deviation of 900 yards. What is the probability that a customer's order will not be met during a month? Assume carpet demand is normally distributed c. From actual road tests on newly manufactured tires, Hankook Tires Co. estimated that the mean tire mileage is 36,500 miles and that the standard deviation is 5000 miles. The company is considering a warranty that will provide a discount on replacement tires if the original tires do not provide the guaranteed mileage. Assuming data is normally distributed, what should the warranty mileage be if the company wants no more than 10% of the tires to be eligible for the discount warranty? 7:15 PM /
Transcribed Image Text:b. A warehouse distributor of carpet keeps 6,000 yards of deluxe shag carpet in stock during a month. The average demand for carpet from the stores that purchase from the distributor is 4,500 yards per month, with a standard deviation of 900 yards. What is the probability that a customer's order will not be met during a month? Assume carpet demand is normally distributed c. From actual road tests on newly manufactured tires, Hankook Tires Co. estimated that the mean tire mileage is 36,500 miles and that the standard deviation is 5000 miles. The company is considering a warranty that will provide a discount on replacement tires if the original tires do not provide the guaranteed mileage. Assuming data is normally distributed, what should the warranty mileage be if the company wants no more than 10% of the tires to be eligible for the discount warranty? 7:15 PM /
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