The average life of a certain steel-belted radial tire is advertised as 60,000 miles. Assume that the life of the tires is normally distributed with a standard deviation 2,500 miles. (The life of a tire is defined as the number of miles the tire is driven before blowing out.)

(b) In order to avoid a tire blowout, the company manufacturing the tires will warn purchasers to replace eachtire after it has been used for a given number of miles. What should the replacement time (in miles) be so that only 1% of the tires will blow out before the replacement miles?