Officer Joe Sixpack of the UConn Police is on patrolling duty Saturday night. He decides to 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 North Eagleville during that hour has a Poisson distribution with mean 0.6, that at the intersection of CT 195 and CT 275 a Poisson distribution with mean 0.5, and that at the intersection 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. He randomly 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 North Eagleville. 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 running the red light, what is the probability that he monitored the intersection of CT 195 and CT 2752

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Officer Joe Sixpack of the UConn Police is on patrolling duty Saturday night. He decides
to 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 North
Eagleville during that hour has a Poisson distribution with mean 0.6, that at the
intersection of CT 195 and CT 275 a Poisson distribution with mean 0.5, and that at the
intersection 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. He
randomly 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 North
Eagleville.
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 running
the red light, what is the probability that he monitored the intersection of CT 195 and CT
275?
Transcribed Image Text:Officer Joe Sixpack of the UConn Police is on patrolling duty Saturday night. He decides to 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 North Eagleville during that hour has a Poisson distribution with mean 0.6, that at the intersection of CT 195 and CT 275 a Poisson distribution with mean 0.5, and that at the intersection 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. He randomly 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 North Eagleville. 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 running the red light, what is the probability that he monitored the intersection of CT 195 and CT 275?
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