The time between arrival of CAT buses follows an exponential distribution, with a mean of 20 minutes (I hear you it's long). • What is the probability that exactly four buses will arrive during the next 2 hours? • That at least two buses will arrive during the next 2 hours? • What is the expected number of buses that will arrive during the next 3 hours? • A bus has just arrived. What is the probability that it will be between 15 and 35 minutes before the next bus arrives?

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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The time between arrival of CAT buses follows an exponential distribution, with
a mean of 20 minutes (I hear you it's long).
• What is the probability that exactly four buses will arrive during the next 2 hours?
• That at least two buses will arrive during the next 2 hours?
• What is the expected number of buses that will arrive during the next 3 hours?
• A bus has just arrived. What is the probability that it will be between 15 and 35 minutes before the
next bus arrives?
Transcribed Image Text:The time between arrival of CAT buses follows an exponential distribution, with a mean of 20 minutes (I hear you it's long). • What is the probability that exactly four buses will arrive during the next 2 hours? • That at least two buses will arrive during the next 2 hours? • What is the expected number of buses that will arrive during the next 3 hours? • A bus has just arrived. What is the probability that it will be between 15 and 35 minutes before the next bus arrives?
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