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Unformatted text preview: E0 T4 to determine the average length of time the boat can remain at sea.
4.31. Excited by the recent warm weather Jill and Kelly are doing spring
cleaning at their apartment. Jill takes an exponentially distributed amount of 155 4.8. EXERCISES time with mean 30 minutes to clean the kitchen. Kelly takes an exponentially
distributed amount of time with mean 40 minutes to clean the bath room. The
ﬁrst one to complete their task will go outside and start raking leaves, a task
that takes an exponentially distributed amount of time with a mean of one hour.
When the second person is done inside, they will help the other and raking will
be done at rate 2. (Of course the other person may already be done raking in
which case the chores are done.) What is the expected time until the chores
are all done?
Markovian queues
4.32. Consider a taxi station at an airport where taxis and (groups of) customers arrive at times of Poisson processes with rates 2 and 3 per minute.
Suppose that a taxi will wait no matter how many o...
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This document was uploaded on 03/06/2014 for the course MATH 4740 at Cornell University (Engineering School).
 Spring '10
 DURRETT
 The Land

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