The annual number of industrial accidents occurring in a particular manufacturing plant is known to follow a Poisson distribution with mean 12. What is the probability of observing exactly 12 accidents during the coming year? What is the probability of observing no more than 12 accidents during the coming year? What is the probability of observing at least 15 accidents during the coming 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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The annual number of industrial accidents occurring in a particular manufacturing plant is known to follow a Poisson distribution with mean 12.

  1. What is the probability of observing exactly 12 accidents during the coming year?
  2. What is the probability of observing no more than 12 accidents during the coming year?
  3. What is the probability of observing at least 15 accidents during the coming year?
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