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Markov Chain Calculations Consider the Markov model with transition probabilities P(St+1 St) represented using the state transition diagram below. 20% a 60% 80% 20% C b 70% 20% 30% (a) Write the state-transition probabilities as a 3x3 matrix M in which Ma,b= P(bla). (b) If the state is initially a (i.e., P(S₁ = a) = 1), what is P(S3 = a)? (c) What is the stationary distribution of this Markov model?

Markov Chain Calculations Consider the Markov model with transition probabilities P(St+1 St) represented using the state transition diagram below. 20% a 60% 80% 20% C b 70% 20% 30% (a) Write the state-transition probabilities as a 3x3 matrix M in which Ma,b= P(bla). (b) If the state is initially a (i.e., P(S₁ = a) = 1), what is P(S3 = a)? (c) What is the stationary distribution of this Markov model?

MATLAB: An Introduction with Applications
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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4. Markov Chain Calculations Consider the Markov model with transition probabilities P(St+1|St) represented using the state transition diagram below. 20% a 60% 80% 20% C 70% 20% 30% (a) Write the state-transition probabilities as a 3x3 matrix M in which Ma,b (b) If the state is initially a (i.e., P(S₁ = a) = 1), what is P(S3 = a)? (c) What is the stationary distribution of this Markov model? = P(bla).
Transcribed Image Text:4. Markov Chain Calculations Consider the Markov model with transition probabilities P(St+1|St) represented using the state transition diagram below. 20% a 60% 80% 20% C 70% 20% 30% (a) Write the state-transition probabilities as a 3x3 matrix M in which Ma,b (b) If the state is initially a (i.e., P(S₁ = a) = 1), what is P(S3 = a)? (c) What is the stationary distribution of this Markov model? = P(bla).
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