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# A tire manufacturer claims that his tires will last 40,000 miles with a standard deviation of 5000 miles.

A tire manufacturer claims that his tires will last 40,000 miles with a standard deviation of 5000 miles.b) What is the probability that the mean life time of the sample of 160 tires will be less than 39,000 miles? Interpret the probability in terms of the truth of the manufacturer's claim.