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.
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
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?
 alt="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?
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