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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
The following matrix is the single-step transition probability matrix of a discrete-time Markov chain which describes the weather. State 1 represents a sunny day, state 2 a cloudy day, and state 3 a rainy day.

(a) What is the probability of a sunny day being followed by two cloudy days?
(b) Given that today is rainy, what is the probability that the sun will shine the day after tomorrow?
(c) What is the mean length of a rainy period?
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