# Approximately what fraction of the answers will be

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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).

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