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

Question

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] · Answer 1 · 2022-03-20T18:55:44+03:00

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