Officer Joe Sixpack of the UConn Police is on patrolling duty Saturday night. He decidesto devote the hour between 11 PM and midnight to catching cars running red lights.The number of cars running the red light at the intersection of CT 195 and NorthEagleville during that hour has a Poisson distribution with mean 0.6, that at theintersection of CT 195 and CT 275 a Poisson distribution with mean 0.5, and that at theintersection of Hillside and North Eagleville a Poisson distribution with mean 0.4.Officer Sixpack finds 6 Blue pens, 4 Black pens, and 2 Red pens in his penholder. Herandomly selects (needless to say, without replacement) 2 pens from his penholder.If he does not get a single Blue pen, he will monitor the intersection of CT 195 and NorthEagleville.If he gets 1 Blue pen, he will monitor the intersection of CT 195 and CT 275.If he gets 2 Blue pens, he will monitor the intersection of Hillside and North Eagleville.If Officer Sixpack returns to his desk after midnight without catching a single car runningthe red light, what is the probability that he monitored the intersection of CT 195 and CT275?

We will use Baye's theorem to solve this problem.Let A denote that Officer Sixpack monitored the…

Answered: Officer Joe Sixpack of the UConn Police…

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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