P= The weather in Columbus is either good, indifferent, or bad on any given day. If the weather is good today, there is a 70% chance it will be good tomorrow, a 20% chance it will be indifferent, and a 10% chance it will be bad. If the weather is indifferent today, there is a 50% chance it will be good tomorrow, and a 30% chance it will be indifferent. Finally, if the weather is bad today, there is a 40% chance it will be good tomorrow and a 40% chance it will be indifferent. The stochastic matrix for this situation is shown to the right. In the long run, how likely is it for the weather in Columbus to be good on a given day? 0.7 0.5 0.4 0.2 0.3 0.4 0.1 0.2 0.2
P= The weather in Columbus is either good, indifferent, or bad on any given day. If the weather is good today, there is a 70% chance it will be good tomorrow, a 20% chance it will be indifferent, and a 10% chance it will be bad. If the weather is indifferent today, there is a 50% chance it will be good tomorrow, and a 30% chance it will be indifferent. Finally, if the weather is bad today, there is a 40% chance it will be good tomorrow and a 40% chance it will be indifferent. The stochastic matrix for this situation is shown to the right. In the long run, how likely is it for the weather in Columbus to be good on a given day? 0.7 0.5 0.4 0.2 0.3 0.4 0.1 0.2 0.2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The weather in Columbus is either good, indifferent, or bad on any given
day. If the weather is good today, there is a 70% chance it will be
good tomorrow, a 20% chance it will be indifferent, and a 10% chance it
will be bad. If the weather is indifferent today, there is a 50% chance it
will be good tomorrow, and a 30% chance it will be indifferent. Finally, if
the weather is bad today, there is a 40% chance it will be good tomorrow
and a 40% chance it will be indifferent. The stochastic matrix for this
situation is shown to the right. In the long run, how likely is it for the
weather in Columbus to be good on a given day?
P=
0.7 0.5 0.4
0.2 0.3 0.4
0.1 0.2 0.2
In the long run, how likely is it for the weather in Columbus to be good on a given day?
% (Round to the nearest integer as needed.)
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