The average lifetime of a certain new cell phone is 5 years. The manufacturer will replace any cell phone failing within 3 years of the date of purchase. The lifetime of these cell phones is known to follow an exponential distribution. what is the probability that a phone will fail within 2 years of the date purchased?

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 average lifetime of a certain new cell phone is 5 years. The manufacturer will replace any cell phone failing within 3 years of the date of purchase. The lifetime of these cell phones is known to follow an exponential distribution.
what is the probability that a phone will fail within 2 years of the date purchased?

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