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?
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?
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....
Question
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0dca65e3-5d84-435b-a40e-c7b10d92b1e9%2Fbff490e7-1245-4d83-bacd-126e32403b61%2Fr5qzghn_processed.png&w=3840&q=75)
Transcribed Image Text: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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