Cars arrive at a toll booth according to a Poisson process with mean 50 cars per hour. Suppose the attendant makes a phone call. How long, in seconds, can the attendant's phone call last if the probability is at least 0.8 that no cars arrive during the call? (Round your answer to the nearest integer.)

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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Cars arrive at a toll booth according to a Poisson process with mean 50 cars per hour.
Suppose the attendant makes a phone call. How long, in seconds, can the attendant's phone call last if the probability is at least 0.8 that no cars arrive during the call? (Round your answer to the nearest integer.)
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