In a subway station, there are exactly enough customers on the platform to fill three trains. The arrival time of the nth train is Xi+..+X, where X1, X2... are iid exponential random variables with E[X]-2 minutes. Let W equal the time required to serve the waiting customers. We are interested in estimating the probability that W is greater than 20 min. For that Use: 1. The central limit Theorem 2. The Markov Inequality The Chebyshev Inequality 3. Compare and comment on the various obtained results

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
In a subway station, there are exactly enough customers on the platform to fill three trains. The arrival time of
the nth train is X+.+X, where X1, X2... are iid exponential random variables with E[X]=2 minutes.
Let W equal the time required to serve the waiting customers. We are interested in estimating the probability
that W is greater than 20 min. For that Use:
1.
The central limit Theorem
2.
The Markov Inequality
The Chebyshev Inequality
Compare and comment on the various obtained results
3.
4.
Transcribed Image Text:In a subway station, there are exactly enough customers on the platform to fill three trains. The arrival time of the nth train is X+.+X, where X1, X2... are iid exponential random variables with E[X]=2 minutes. Let W equal the time required to serve the waiting customers. We are interested in estimating the probability that W is greater than 20 min. For that Use: 1. The central limit Theorem 2. The Markov Inequality The Chebyshev Inequality Compare and comment on the various obtained results 3. 4.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman