Mathematics, 03.01.2020 21:31 mckinley2006
This question is to show that we can `recode' and model a situation that depends on nitely many past states as a homogeneous markov chain. suppose we model the daily weather as a markov chain. the weather has just two states: cloudy and sunny. suppose that if it is sunny today and was sunny yesterday then it will be sunny tomorrow with probability 0: 6; if sunny today but cloudy yesterday then it will be sunny tomorrow with probability 0: 5; if cloudy today but sunny yesterday then it will be sunny tomorrow with probability 0: 4; if it was cloudy for the last two days then it will be sunny tomorrow with probability 0: 2. calculate the expected fraction of cloudy days.
Answers: 3
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