# Question: In a National Highway Traffic Safety Administration NHTSA report data

In a National Highway Traffic Safety Administration (NHTSA) report, data provided to the NHTSA by Goodyear stated that the average tread life of properly inflated automobile tires is 45,000 miles. Suppose that the current distribution of tread life of properly inflated automobile tires is normally distributed with a mean of 45,000 miles and a standard deviation of 2360 miles.

a. Find the probability that a randomly selected automobile tire has a tread life between 42,000 and 46,000 miles.

b. What is the probability that a randomly selected automobile tire has a tread life of less than 38,000 miles?

c. What is the probability that a randomly selected automobile tire has a tread life of more than 50,000 miles?

d. Find the probability that a randomly selected automobile tire has a tread life between 46,500 and 47,500 miles.

a. Find the probability that a randomly selected automobile tire has a tread life between 42,000 and 46,000 miles.

b. What is the probability that a randomly selected automobile tire has a tread life of less than 38,000 miles?

c. What is the probability that a randomly selected automobile tire has a tread life of more than 50,000 miles?

d. Find the probability that a randomly selected automobile tire has a tread life between 46,500 and 47,500 miles.

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