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version 2 Questions 06- 08 Suppose that a tire company developed a new steel-belted radial tire. Let X be the number of miles the tires will last. From road tests, the company estimated that the mean of tire mileage is 39,000 and the standard deviation is 4,000. In addition, the mileage is normally distributed. Use the standard normal distribution table to answer the following questions. Q06 What is the probability that a tire is worn out between 35,000 and 40,000 miles? (Round to the nearest whole number.) (a) 44% (b) 6% (e) 15% (d) 24 % (e) 84 % Answer (a) Q07 The tire company is considering a guarantee that will provide a discount on replacement tires if the original tires do not provide the guaranteed mileage. If the company offers a guaranteed mileage of 33,000, what is the percentage that a tire is eligible for the discount? (Round to the nearest whole number.) (a) 7 (b) 56% (e) 93% (d) 15% (e) 44 % Answer (a) Qo8 Outside the United States, kilometer is the standard measurement unit of distance. 1 mile is approx- imately equivalent to 1.6 kilometers. Let Y be the mileage of a tire measured in kilometers. That is, Y= (1.6) x X, assuming that 1 mile equals to 1.6 kilometers. What is the standard deviation of Y? (a) 1,562.5 (b) 2,500 (e) 4,000 (d) 6,400 (e) 10,240 Answer (d)

Answer 1

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