2) The average number of operational losses a year at a particular plant is 18, so the number of losses in a year is distributed Poisson, with a mean 18. a. Using the probability distribution formula for the Poisson distribution, What is the probability that there will exactly 12 operational losses in the next year ? b. Using the table lookup method, what is the probability of having less than three operational losses in one month ?

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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2) The average number of operational losses a year at a particular plant is 18, so the number of losses in a year is distributed Poisson, with a mean 18.

a. Using the probability distribution formula for the Poisson distribution, What is the probability that there will exactly 12 operational losses in the next year ?

b. Using the table lookup method, what is the probability of having less than three operational losses in one month ?

3) Given the distribution parameter from the previous question:

a. What is the average number of weeks between operational losses ( assume 52 weeks per year ) ?

b. What is the probability that two operational losses will occur within two weeks of each other ?

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