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 there are, on the average, 3 potholes per mile after a certain amount of usage. It is assumed that the Poisson process applies to the random variable “number of potholes.” What is the probability that no more than two potholes will appear in a section of 1 mile? What is the probability that no more than 4 potholes will occur in a given section of 5 miles?

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 there are, on the average, 3 potholes per mile after a certain amount of usage. It is assumed that the Poisson process applies to the random variable “number of potholes.” What is the probability that no more than two potholes will appear in a section of 1 mile? What is the probability that no more than 4 potholes will occur in a given section of 5 miles?

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....

See similar textbooks