i. What is the probability that there will be between 3 and 9 potholes in a given section of 5 km. [0.3225] ii. What is the probability that there will be more than 3 km section before the next pothole is found. [0.00248] ref. T1S11213

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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13. Potholes on a highway can be a serious problem and are in constant need of
repair. With a particular type of terrain and make of concrete, past experience
suggests that, on the average, 2 potholes per kilometre after a certain amount of
usage. It is assumed that the Poisson process applies to the random variable for the
number of potholes.
i. What is the probability that there will be between 3 and 9 potholes in a given
section of 5 km. [0.3225]
ii. What is the probability that there will be more than 3 km section before the next
pothole is found. [0.00248]
ref. T1S11213
Transcribed Image Text:13. Potholes on a highway can be a serious problem and are in constant need of repair. With a particular type of terrain and make of concrete, past experience suggests that, on the average, 2 potholes per kilometre after a certain amount of usage. It is assumed that the Poisson process applies to the random variable for the number of potholes. i. What is the probability that there will be between 3 and 9 potholes in a given section of 5 km. [0.3225] ii. What is the probability that there will be more than 3 km section before the next pothole is found. [0.00248] ref. T1S11213
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