Question

The weather in Columbus is either good, indifferent, or bad on any given day. If the weather is good today, there is a 60% chance the weather will be good tomorrow, a 30% chance the weather will be indifferent, and a 10% chance the weather will be bad. If the weather is indifferent today, it will be good tomorrow with probability .40 and indifferent with probability .30. Finally, if the weather is bad today, it will be good tomorrow with probability .40 and indifferent with probability .50.

Answer 1

Explanation:

a)Whatis thestochastic matrix for thissituation?

b)Suppose there is a 50% chance of good weather today and 50% of indifferent.What are the chances of badweather tomorrow?

c)Suppose the predicted weather for Monday is 40% indifferent and 60%bad.What are the chances for good weather on Wednesday?

Attached below is the solution :