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Statistics and Probability A train arrives at a station such that the time between arrivals has a rate of exponential distribution of 1/λ. In order to get home, you decide to wait for the train for t minutes. If the train arrives before t minutes, you take the train home which takes time X. If the train has not arrived after t minutes, you walk home which takes time Y. What is the expected total time from getting to the train stop until getting home?

Statistics and Probability A train arrives at a station such that the time between arrivals has a rate of exponential distribution of 1/λ. In order to get home, you decide to wait for the train for t minutes. If the train arrives before t minutes, you take the train home which takes time X. If the train has not arrived after t minutes, you walk home which takes time Y. What is the expected total time from getting to the train stop until getting home?

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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Statistics and Probability A train arrives at a station such that the time between arrivals has a rate of exponential distribution of 1/λ. In order to get home, you decide to wait for the train for t minutes. If the train arrives before t minutes, you take the train home which takes time X. If the train has not arrived after t minutes, you walk home which takes time Y. What is the expected total time from getting to the train stop until getting home?
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