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Problem 5. Kaya (Your professor's oat} has two emotional mode for each day5 either happy {{2}} or sad {Q}. If he is happy in one

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Problem 5. Kaya (Your professor's oat} has two \"emotional mode\" for each day5 either happy {{2}} or sad {Q}. If he is happy in one dayJ the probability of being happy in the next day is 0.8, while the probability of being sad is 0.2; if he is sad in one day: the probability of being sad is 0.6 and being happy at 0.4. {i} Suppose Kaya is happy today. What is the probability that he is happy tomorrow? {ii} Suppose Kaya is happy today. What is the probability that he is happy the day after tomorrow? {iii} Suppose Kaya is happy today. Giyen that he is happy the day after tomorrowJ what is the probability that he is happy tomorrow

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