Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Transcribed Image Text:In a small town there are 10,000 homes. When it comes to television viewing, the residents have
three choices: they can subscribe to cable, they can pay for satellite service, or they watch no TV.
(The town is sufficiently remote so that an antenna does not work.) In any given year, 80% of the
cable customers stick with cable, 10% switch to satellite, and 10% quit watching TV. Over the
same time period, 90% of satellite viewers continue with satellite service, 5% switch to cable,
and 5% quit watching TV. And of those people who start the year not watching TV, 85%
continue not watching, 5% subscribe to cable, and 10% get satellite service (see Figure 1).
Suppose that the current distribution is 5000 homes with cable, 3000 homes with satellite, and
2000 homes with no TV. Find the distribution one year, two years, three years, and four years
from now.
85%
10%
5%
Cable
Ɔ
80%
No TV
10%
5%
5%
10%
Satellite
90%
Figure 1
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