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?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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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