A telephone company’s goal is to have no more than five monthly line failures on any 100 miles of line. The company currently experiences an average of two monthly line failures per 50 miles of line. Let x denote the number of monthly line failures per 100 miles of line. Assuming x has a Poisson distribution: Find the probability that the company will meet its goal on a particular 100 miles of line. Find the probability that the company will not meet its goal on a particular 100 miles of line. Find the probability that the company will have no more than five monthly failures on a particular 200 miles of line.
A telephone company’s goal is to have no more than five monthly line failures on any 100 miles of line. The company currently experiences an average of two monthly line failures per 50 miles of line. Let x denote the number of monthly line failures per 100 miles of line. Assuming x has a Poisson distribution: Find the probability that the company will meet its goal on a particular 100 miles of line. Find the probability that the company will not meet its goal on a particular 100 miles of line. Find the probability that the company will have no more than five monthly failures on a particular 200 miles of line.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A telephone company’s goal is to have no more than five monthly line failures on any 100 miles of line. The company currently experiences an average of two monthly line failures per 50 miles of line. Let x denote the number of monthly line failures per 100 miles of line. Assuming x has a Poisson distribution:
- Find the probability that the company will meet its goal on a particular 100 miles of line.
- Find the probability that the company will not meet its goal on a particular 100 miles of line.
- Find the probability that the company will have no more than five monthly failures on a particular 200 miles of line.
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