The weather in columbus is either good, indifferent, or bad on any given day. if

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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 weanther 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 30% chance it will be good tomorrow and a 40% chance it will be indifferent.

a. what is the stochastic matrix for this situation?

b. suppose there is a 50% chance of good weather today and a 50% chance of indifferent weather. what are the chances of bad weather tomorrow?

c. suppose the predicted weather for monday is 60% indifferent and 40% bad weather. what are the chances for good weather on wednesday?

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