The number of typing errors made by a typist has a Poisson distribution with an average of three and a half errors per page. If five or more errors appear on a given page, the typist must retype the whole page.    What is the probability that the typist makes 3 errors on a page?  What is the probability that a randomly selected page does not need to be retyped?

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 typing errors made by a typist has a Poisson distribution with an average of three and a half errors per page. If five or more errors appear on a given page, the typist must retype the whole page.   

  1. What is the probability that the typist makes 3 errors on a page? 
  2. What is the probability that a randomly selected page does not need to be retyped?

 

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