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Alex
3 years ago
8

On any given day, Buffy is either cheerful (c), so-so (s), or gloomy (g). If she is cheerful today, then she will be c, s, or g

tomorrow with respective probabilities .7, .2, and .1. If she is so-so today, then she will be c, s, or g tomorrow with respective probabilities .4, .3, and .3. If she is gloomy today, then Buffy will be c, s, or g tomorrow with probabilities .2, .4, and .4. What proportion of time is Buffy cheerful?

Mathematics
1 answer:
zysi [14]3 years ago
7 0

Answer:

0.7

Step-by-step explanation:

The matrix of possibility is given by the table below

Therefore the proportion of time Buffy is cheerful is 0.7

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