The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with
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The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with mean μ = 40 and standard deviation σ = 5.
a. Find the 15th percentile of the tire lifetimes.
b. Find the 68th percentile of the tire lifetimes.
c. Find the first quartile of the tire lifetimes.
d. The tire company wants to guarantee that its tires will last at least a certain number of miles. What number of miles (in thousands) should the company guarantee so that only 2% of the tires violate the guarantee?
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