You work with the office of city planning which is currently evaluating a new contract for a major highway. The chosen contractor claims that the roads they build usually have a single (1) defect per 50 miles of road, assume this follows a Poisson distribution. The portion of the highway that your city is building is 30 miles long.  Within the contract there is a clause which states that if 5 or more defects are found in the completed project then the contractor must reimburse a third of the final payment. What is

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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You work with the office of city planning which is currently evaluating a new contract for a major highway. The chosen contractor claims that the roads they build usually have a single (1) defect per 50 miles of road, assume this follows a Poisson distribution. The portion of the highway that your city is building is 30 miles long. 

Within the contract there is a clause which states that if 5 or more defects are found in the completed project then the contractor must reimburse a third of the final payment. What is the probability that this happens? 

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