On any given day, Buffy is either cheerful (c), so-so(s),

Chapter 9, Problem 9.8

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On any given day, Buffy is either cheerful (c), so-so(s), or gloomy (g). If she is cheerful today, then shewill be c, s, or g tomorrow with respective probabilities.7, .2, and .1. If she is so-so today, then she willbe c, s, or g tomorrow with respective probabilities.4, .3, and .3. If she is gloomy today, then Buffy willbe c, s, or g tomorrow with probabilities .2, .4, and.4. What proportion of time is Buffy cheerful?

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