On a 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, .1. If she is so-so, then she will be c, s, or g tomorrow with respective probabilities .4, .3, .3. If she is gloomy today, then Buffy will be c, s, or g tomorrow with probabilities
On a 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, .1. If she is so-so, then she will be c, s, or g tomorrow with respective probabilities .4, .3, .3. If she is gloomy today, then Buffy will be c, s, or g tomorrow with probabilities
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:(1) what is the matrix of probabilities?
(2) Is it an ergodic Markov chain? If so, what are the limiting probabilities?

Transcribed Image Text:On a 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, .1. If
she is so-so, then she will be c, s, or g tomorrow with respective probabilities .4, .3,
.3. If she is gloomy today, then Buffy will be c, s, or g tomorrow with probabilities
.2, .4, .4.
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