3. You are waiting for a bus at a bus stop. There are actually two buses that stop here. The one you want will arrive at a uniformly random time within the next 30 minutes. There is also a different bus, which will arrive at a uniformly random time within the next 60 minutes. Given that exactly one of the buses arrives within the next 5 minutes, what is the probability that it is the one you want? (Note: we want a conditional probability here-
3. You are waiting for a bus at a bus stop. There are actually two buses that stop here. The one you want will arrive at a uniformly random time within the next 30 minutes. There is also a different bus, which will arrive at a uniformly random time within the next 60 minutes. Given that exactly one of the buses arrives within the next 5 minutes, what is the probability that it is the one you want? (Note: we want a conditional probability here-
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...
Related questions
Question

Transcribed Image Text:3. You are waiting for a bus at a bus stop. There are actually two buses that stop here. The one
you want will arrive at a uniformly random time within the next 30 minutes. There is also a
different bus, which will arrive at a uniformly random time within the next 60 minutes.
Given that exactly one of the buses arrives within the next 5 minutes, what is the probability
that it is the one you want?
(Note: we want a conditional probability here-
Expert Solution

Step 1
Given:
The bus which we want to arrive will arrive at a uniformly random time within the next 30 minutes.
There is another bus that will arrive at a uniformly random time within the next 60 minutes.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps

Recommended textbooks for you

A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON


A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
