The mileage (in 1,000s of miles) that car owners get with a certain kind of radial tire is a random variable having an exponential distribution with a mean of 50. A. What is the probability that a tire will last at most 40,000 miles? B. What is the probability that a tire will last at least 65,000 miles? C. What is the probability that a tire will last between 70,000 and 80,000 miles?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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The mileage (in 1,000s of miles) that car owners get with a certain kind of radial tire is a random variable having an exponential

distribution with a mean of 50.

A. What is the probability that a tire will last at most 40,000 miles?

B. What is the probability that a tire will last at least 65,000 miles?

C. What is the probability that a tire will last between 70,000 and 80,000 miles?

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