5. The life, in years, of a certain type of electrical switch has an exponential distribution with an average life of 2. If 100 of these switches are installed in different systems, what is the probability that at most 30 fail during the first year?

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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5. The life, in years, of a certain type of electrical switch has an exponential distribution with an
average life of 2. If 100 of these switches are installed in different systems, what is the probability
that at most 30 fail during the first year?
Transcribed Image Text:5. The life, in years, of a certain type of electrical switch has an exponential distribution with an average life of 2. If 100 of these switches are installed in different systems, what is the probability that at most 30 fail during the first year?
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