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?

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...

See similar textbooks

Similar questions

Each night in a family of four siblings, the parents randomly assign the order for the siblings to take their baths. What is the probability that the youngest will go last?
Robby wins 2 out of every 3 chess matches he plays with Marlene. What is the probability that he wins exactly 5 of the next 6 matches
Find the probability that either event A or B occurs if the chance of A occurring is 0.5,the chances of B occurring is 0.3, and events A and B are independent.
If she made the last free throw, then her probability of making the next one is 0.6. On the other hand, If she missed the last free throw, then her probability of making the next one is 0.5.
The probability that a certain plant will survive in the month of July is 2/5, and the probability that it will still live up to August is 4/11. Find the probability that this plant will still alive in August.
Lydia is a project manager and submitted proposals for two different projects, Project X and Project Y to her boss. The probability of getting project X approved is 0.65. The probability of getting project Y approved is 0.77. The probability of getting at least one of the projects approved 0.90. The two projects are independent. True or False
Suppose the probability that you will be elected student president is 0.15, and the probability that you will get the student scholarship is 0.55. If the two events are independent, the probability that you will not only become the president but also get the scholarship is: need complete solution
Solve Question 1 and show work. Please and thank you.
You are going to play two games. The probability you win the first game is 0.60. If you win the first game, the probability you will win the second game is 0.75. If lose the first game, the probability you win the second game is 0.55. What is the probability you win exactly one game?
Please help
Money bills are frequently printed with defects. The probability that a bill's front side has a defect is 2 percent, the probability that a bill's back side has a defect is 4 percent, and the probability that a bill has defects on both sides is 1 percent. What is the probability that a bill will have a defect on the front, given that it has a defect on its back?
When George plays chess against his favorite computer program, he wins with probability 0.60, loses with probability 0.10, and 30% of the games result is a draw. Assume independence.Find the probability that George's fifth win happens when he plays his eighth game.