Question
Markov Chain Matrix 0 1 0 0.4 0.6 1 0.7 0.3 a.) suppose process begins at...
Markov Chain
Matrix
0 1
0 0.4 0.6
1 0.7 0.3
a.) suppose process begins at state 1 and time =1 what is the probability
it will be at state 0 at t=3.
b.) What is the steady state distribution of the Markov Chain above
Homework Answers
Answer #1
a) Probability of being at state 0 at time 3 has 2 cases
1. Going from 1 to 0 at time 2 and then staying at 0. Probability is 0.7 X 0.4 = 0.28.
2. Staying at 1 at time 2 and then moving to state 0. Probability is 0.3 X 0.7 = 0.21
So, total probability of event is 0.28 + 0.21 = 0.49.
b) Solving 
where 
We have the following equations
This gives us that
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