# Question: Refer to Problem 11 a Suppose that 6 of all automobile

Refer to Problem 11.

a. Suppose that 6% of all automobile tires with the longest tread life have a tread life of at least x miles. Find the value of x.

b. Suppose that 2% of all automobile tires with the shortest tread life have a tread life of at most x miles. Find the value of x.

In Exercise 11

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. Suppose that 6% of all automobile tires with the longest tread life have a tread life of at least x miles. Find the value of x.

b. Suppose that 2% of all automobile tires with the shortest tread life have a tread life of at most x miles. Find the value of x.

In Exercise 11

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.

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