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5. At a subway station, the waiting time in minutes for a new train to arrive follows an exponential distribution with parameter X = 4 (a) You know the last train left at 9:00 AM. What is the probability the next train comes after 9:10 AM? (b) What is the expected waiting time between trains coming the subway station? (c) You have already waited 5 minutes for a train, what is the probability that you will have to wait more than 20 minutes in total for the next train to come to the station? (d) Suppose you are at a very busy station. You need to wait for three (3) trains to come through the station to move to the top of the queue and get a seat. As you enter the station, you add yourself to the end of the queue. How long do you expect to wait to get a seat in the train? Assume that the waiting times between each train is independent and identically distributed.

5. At a subway station, the waiting time in minutes for a new train to arrive follows an exponential distribution with parameter X = 4 (a) You know the last train left at 9:00 AM. What is the probability the next train comes after 9:10 AM? (b) What is the expected waiting time between trains coming the subway station? (c) You have already waited 5 minutes for a train, what is the probability that you will have to wait more than 20 minutes in total for the next train to come to the station? (d) Suppose you are at a very busy station. You need to wait for three (3) trains to come through the station to move to the top of the queue and get a seat. As you enter the station, you add yourself to the end of the queue. How long do you expect to wait to get a seat in the train? Assume that the waiting times between each train is independent and identically distributed.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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5. At a subway station, the waiting time in minutes for a new train to arrive follows an exponential 1 distribution with parameter x = 4 (a) You know the last train left at 9:00 AM. What is the probability the next train comes after 9:10 AM? (b) What is the expected waiting time between trains coming the subway station? (c) You have already waited 5 minutes for a train, what is the probability that you will have to wait more than 20 minutes in total for the next train to come to the station? (d) Suppose you are at a very busy station. You need to wait for three (3) trains to come through the station to move to the top of the queue and get a seat. As you enter the station, you add yourself to the end of the queue. How long do you expect to wait to get a seat in the train? Assume that the waiting times between each train is independent and identically distributed.
Transcribed Image Text:5. At a subway station, the waiting time in minutes for a new train to arrive follows an exponential 1 distribution with parameter x = 4 (a) You know the last train left at 9:00 AM. What is the probability the next train comes after 9:10 AM? (b) What is the expected waiting time between trains coming the subway station? (c) You have already waited 5 minutes for a train, what is the probability that you will have to wait more than 20 minutes in total for the next train to come to the station? (d) Suppose you are at a very busy station. You need to wait for three (3) trains to come through the station to move to the top of the queue and get a seat. As you enter the station, you add yourself to the end of the queue. How long do you expect to wait to get a seat in the train? Assume that the waiting times between each train is independent and identically distributed.
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