Q2: The number of cracks in a section of interstate highway that are significant enough to require repair is assumed to follow a Poisson distribution with a mean of 3 cracks per mile. What is the probability that is at least four crack requires repair in 3 miles of highway? a) What is the probability that there are no cracks that require repair in 4 miles of highway? b) What is the probability that is at least one crack requires repair in 0.5 mile of highway? c) What is the probability that is at least four crack requires repair in 3 miles of highway?

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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Q2: The number of cracks in a section of interstate highway that are significant enough to require
repair is assumed to follow a Poisson distribution with a mean of 3 cracks per mile. What is the
probability that is at least four crack requires repair in 3 miles of highway?
a) What is the probability that there are no cracks that require repair in 4 miles of highway?
b) What is the probability that is at least one crack requires repair in 0.5 mile of highway?
c) What is the probability that is at least four crack requires repair in 3 miles of highway?
Transcribed Image Text:Q2: The number of cracks in a section of interstate highway that are significant enough to require repair is assumed to follow a Poisson distribution with a mean of 3 cracks per mile. What is the probability that is at least four crack requires repair in 3 miles of highway? a) What is the probability that there are no cracks that require repair in 4 miles of highway? b) What is the probability that is at least one crack requires repair in 0.5 mile of highway? c) What is the probability that is at least four crack requires repair in 3 miles of highway?
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