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Question: forecasting the weather suppose that the chance of rain tomor...

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(Forecasting the Weather) Suppose that the chance of rain tomor row depends on previous weather conditions only through whether or not it is raining today and not on past weather conditions. Suppose also that if it rains today, then it will rain tomorrow with probability a; and if it does not rain today, then it will rain tomorrow with probability If a 0.7 and β = 0.4, then calculate the probability that it will rain two days from today given that it is raining today.
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