The time between arrival of buses follows an exponential distribution, with a mean of 20 minutes. • 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?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
icon
Related questions
Question
The time between arrival of buses follows an exponential distribution, with a
mean of 20 minutes.
• 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 30 and 90 minutes before the
next bus arrives?
Transcribed Image Text:The time between arrival of buses follows an exponential distribution, with a mean of 20 minutes. • 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 30 and 90 minutes before the next bus arrives?
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL