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Mathematics, 18.03.2021 02:40 rasbuurry

Suppose a tire manufacturer wants to set a mileage guarantee on its new XB 70 tire. Tests revealed that the tire's mileage is normally distributed with a mean of 47,500 miles and a
standard deviation of 1,850 miles. The manufacturer wants to set the guaranteed mileage so that
no more than 6% of the tires will have to be replaced. What guaranteed mileage should the
manufacturer announce?

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