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Unformatted text preview: 1/ . (b) Find the answer to (a)
by thinking about a rate one Poisson process in which arrivals are alternately
colored red and blue.
3.23. While visiting Haifa, Sid Resnick discovered that people who wish to
travel from the port area up the mountain frequently take a shared taxi known
as a sherut. The capacity of each car is 5 people. Potential customers arrive 3.5. EXERCISES 117 according to a Poisson process with rate . As soon as 5 people are in the car,
it departs for The Carmel, and another taxi moves up to accept passengerso
on. A local resident (who has no need of a ride) wanders onto the scene. What
is the distribution of the time he has to wait to see a cab depart?
3.24. Suppose that the limiting age distribution in (3.9) is the same as the
original distribution. Conclude that F (x) = 1 e x for some > 0. 118 CHAPTER 3. RENEWAL PROCESSES Chapter 4 Continuous Time Markov
4.1 Deﬁnitions and Examples In Chapter 1 we considered Markov chains Xn with a discrete time index
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This document was uploaded on 03/06/2014 for the course MATH 4740 at Cornell University (Engineering School).
- Spring '10
- The Land