Cars arrive at a toll booth according to a Poisson process with mean 90 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 0.5 that no cars arrive during the call?

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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Cars arrive at a toll booth according to a Poisson process with mean 90 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 0.5 that no cars arrive during the call? (Round your answer to the nearest integer.)
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