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...


In a subway station, there are exactly enough customers on the platform to fill three trains. The arrival time of<br>the nth train is X+.+X, where X1, X2... are iid exponential random variables with E[X]=2 minutes.<br>Let W equal the time required to serve the waiting customers. We are interested in estimating the probability<br>that W is greater than 20 min. For that Use:<br>1.<br>The central limit Theorem<br>2.<br>The Markov Inequality<br>The Chebyshev Inequality<br>Compare and comment on the various obtained results<br>3.<br>4.<br>

Extracted 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.

Jun 06, 2022
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