4. Markov Chain Calculations Consider the Markov model with transition probabilities P(St+1|St)represented using the state transition diagram below.20%a60%80%20%C70%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).

Given the transition diagram of the Markov model as

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?

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.5: Markov Chain

Problem 31E

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