bility that 3 buses will ar bility that at least 4 buses bility that no bus will arri
bility that 3 buses will ar bility that at least 4 buses bility that no bus will arri
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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![5. (a) Suppose that the inter-arrival time at a bus station has an exponential distribution with
a mean of 20 minutes. Determine the following:
i. The probability that 3 buses will arrive in the next hour.
ii. The probability that at least 4 buses will arrive in the next two hours.
iii. The probability that no bus will arrive in the next three hours.
iv. If no bus has arrived in the last two hours, what is the probability that at least one
bus will arrive in the next 30 minutes?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a0fd3cf-40e0-44aa-a069-191abb8deaf0%2F6f03547e-99c3-4b09-99f4-0483aa186108%2Fwgabv4m_processed.png&w=3840&q=75)
Transcribed Image Text:5. (a) Suppose that the inter-arrival time at a bus station has an exponential distribution with
a mean of 20 minutes. Determine the following:
i. The probability that 3 buses will arrive in the next hour.
ii. The probability that at least 4 buses will arrive in the next two hours.
iii. The probability that no bus will arrive in the next three hours.
iv. If no bus has arrived in the last two hours, what is the probability that at least one
bus will arrive in the next 30 minutes?
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