Once per minute, a subway train arrives at the XYZ station with probability p. Every time the train arrived, it is either Green, Red or Blue. Consecutive minutes are independent: for example, knowing that a train arrived or did not arrive at 10:12AM tells you nothing about what will happen at 10:13AM. Trains arriving after 10:00AM always arrive in the following order: Green train always comes first, followed by the Red train, followed by the Blue train. Your train is the Blue Train. You come to the XYZ station at exactly 10:00AM. What is the probability that you will wait exactly 10 minutes for your train?

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
100%

Once per minute, a subway train arrives at the XYZ station with probability p. Every time the train arrived, it is either Green, Red or Blue. Consecutive minutes are independent: for example, knowing that a train arrived or did not arrive at 10:12AM tells you nothing about what will happen at 10:13AM. Trains arriving after 10:00AM always arrive in the following order: Green train always comes first, followed by the Red train, followed by the Blue train. Your train is the Blue Train.
You come to the XYZ station at exactly 10:00AM. What is the probability that you will wait exactly 10 minutes for your train?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

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