Suppose that whether it rains tomorrow dependson past
Chapter 9, Problem 9.9(choose chapter or problem)
Suppose that whether it rains tomorrow dependson past weather conditions only through the last2 days. Specifically, suppose that if it has rainedyesterday and today, then it will rain tomorrowwith probability .8; if it rained yesterday but nottoday, then it will rain tomorrow with probability.3; if it rained today but not yesterday, then it willrain tomorrow with probability .4; and if it has notrained either yesterday or today, then it will raintomorrow with probability .2. What proportion ofdays does it rain?
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