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6. A tire manufacturer believes that the treadlife of its snow tires can be described as normally distributed with a mean of 32000 miles and a standard deviation of 2500 miles. (a) What is the probability that one of these tires lasts between 30000 and 35000 miles? (b) What is the probability that a sample of 9 of these tires has a mean between 30000 and 35000 miles? (c) What is the probability that one of these tires lasts less than 30000 miles? (d) Is it reasonable to expect that one of these tires will last at least 40000 miles? (e) What value (mileage amount) corresponds to the
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