MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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
40% chance it will be good tomorrow, a 30% chance it will be indifferent, and a 30% chance it will be bad. If the
weather is indifferent today, there is a 50% chance it will be good tomorrow, and a 20% chance it will be
indifferent. Finally, if the weather is bad today, there is a 10% chance it will be good tomorrow and a 30% chance it
will be indifferent.
a. What is the stochastic matrix, P, for this situation?
b. Suppose there is a 10% chance of good weather today and a 90% chance of indifferent weather. What are the
chances of bad weather tomorrow?
c. Suppose the predicted weather for Monday is 40% indifferent weather and 60% bad weather. What are the
chances for good weather on Wednesday?
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