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Unformatted text preview: g patterns in a certain region determines that
the pattern of movement between urban (U), suburban (S), and rural areas (R)
is given by the following transition matrix.
R .03 S
.92 68 CHAPTER 1. MARKOV CHAINS In the long run what fraction of the population will live in the three areas?
1.34. In a large metropolitan area, commuters either drive alone (A), carpool
(C), or take public transportation (T). A study showed that transportation
changes according to the following matrix:
.85 In the long run what fraction of commuters will use the three types of transportation?
1.35. (a) Three telephone companies A, B , and C compete for customers. Each
year customers switch between companies according the followinng transition
A .75 .05 .20
B .15 .65 .20
C .05 .1 .85
What is the limiting market share for each of these companies?
1.36. A professor has two light bulbs in his garage. When both are burned
out, they are replaced, and the next day sta...
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- Spring '10
- The Land