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 begood tomorrow, a 40% chance it will be indifferent, and a 20% chance it will be bad. If the weather is indifferent today, there is a 60%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 begood tomorrow and a 30% chance it will be indifferent.a. What is the stochastic matrix, P, for this situation?b. Suppose there is a 40% chance of good weather today and a 60% chance of indifferent weather. What are the chances of badweather tomorrow?c. Suppose the predicted weather for Monday is 90% indifferent weather and 10% bad weather. What are the chances for good weatheron Wednesday?a. Create the stochastic matrix, P, where G is good, I is indifferent, and B is Bad.From:aPGB(Simplify your answers.)To:GIB

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Answered: The weather in Columbus is either good,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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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? a. Create the stochastic matrix, P, where G is good, I is indifferent, and B is Bad. From: GIB a (Simplify your answers.) To: G
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