Two buses arrive to a bus station between 9 AM and 10 AM, independently of each other. For each bus, its arrival time is uniformly distributed in this one-hour interval. After the arrival, drivers of each bus have 15 minutes break. What is the probability that both buses are at the bus station at the same time?

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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Two buses arrive to a bus station between 9 AM and 10 AM, independently of each
other. For each bus, its arrival time is uniformly distributed in this one-hour interval.
After the arrival, drivers of each bus have 15 minutes break. What is the probability
that both buses are at the bus station at the same time?

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