he number of computer shutdowns during any month has a Poisson distribution, averaging 0.25 shutdowns per month. (a) What is the probability of at least 3 computer shutdowns during the next year? (b) During the next year, what is the probability of at least 3 months (out of 12) with exactly 1 computer shutdown in each?

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 number of computer shutdowns during any month has a Poisson distribution, averaging
0.25 shutdowns per month.
(a) What is the probability of at least 3 computer shutdowns during the next year?
(b) During the next year, what is the probability of at least 3 months (out of 12) with
exactly 1 computer shutdown in each?

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