Buses arrive at a stop via the Poisson process, and on average, one bus arrives every 10 minutes. The following answer the questions. (You must write down the formulas you will use when answering. Also, You must use terminology and symbols. Write at least 4 digits after the comma.) (a) What is the probability that at most 3 buses will arrive at the stop within 1 hour? (b) What is the probability that the time until the 4th bus arrives at the stop will be longer than 1 and a half hours?

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...
icon
Related questions
Question

Buses arrive at a stop via the Poisson process, and on average, one bus arrives every 10 minutes. The following answer the questions. (You must write down the formulas you will use when answering. Also, You must use terminology and symbols. Write at least 4 digits after the comma.)

 

(a) What is the probability that at most 3 buses will arrive at the stop within 1 hour?

 

(b) What is the probability that the time until the 4th bus arrives at the stop will be longer than 1 and a half hours?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON