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Unformatted text preview: equations. However you can check your answers by using your calculator to ﬁnd FRAC(p100 ).
1.16. If we rearrange the matrix for the seven state chain in Example 1.14 we
get
2
3
1
5
4
6
7 2
.2
0
0
0
0
0
0 3
.3
.5
0
0
0
0
0 1
.1
0
.7
.6
0
0
0 5
0
.2
.3
.4
0
0
0 4
.4
.3
0
0
.5
0
1 6
0
0
0
0
.5
.2
0 7
0
0
0
0
0
.8
0 Find limn!1 pn (i, j ).
Two state Markov chains
1.17. Market research suggests that in a ﬁve year period 8% of people with
cable television will get rid of it, and 26% of those without it will sign up for it.
Compare the predictions of the Markov chain model with the following data on
the fraction of people with cable TV: 56.4% in 1990, 63.4% in 1995, and 68.0%
in 2000. What is the long run fraction of people with cable TV?
1.18. A sociology professor postulates that in each decade 8% of women in the
work force leave it and 20% of the women not in it begin to work. Compare the
predictions of his model with the following data on the percentage of women
working: 43.3% in 1970, 51.5% in 1980, 5...
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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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