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
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
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f5cf2d3-ea99-45bf-b2df-f2cbf1f0eeb1%2F041e9616-0212-479c-a405-41f6b86ca583%2F97grwtc_processed.jpeg&w=3840&q=75)
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.
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