Question: Please need answer quick. QUESTION 3 (30 points): A particular geographic region exhibits a climatic pattern in that the weather is either cloudy or sunny

Please need answer quick. QUESTION 3 (30 points):

Please need answer quick.

QUESTION 3 (30 points): A particular geographic region exhibits a climatic pattern in that the weather is either cloudy or sunny in a given day. A weather forecast station situated in that particular region forecasts the weather everyday for the next day. Whether the weather will be cloudy or sunny tomorrow depends upon the weather condition observed today and yesterday. If the weather was sunny for the past two days, it will be sunny tomorrow with probability 0.70. If the weather was sunny today but cloudy yesterday, it will be sunny tomorrow with probability 0.60. If the weather was cloudy today but sunny yesterday, it will be sunny tomorrow with probability 0.55. Finally, if the weather was cloudy for the past two days, it will be sunny tomorrow with probability 0.20. a) What are the states of this process? Clearly define and list them. b) Determine the one-step transition (from one day to the next day) matrix

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