Consider a system that can be in one of two possible states, S = {0, 1}, and suppose that the state 1/5) (3/5 2/5) (4/5 transition matrix is given by P = Suppose that the system is in state 0 at time n= 0, i.e., Xo = 0. a) Draw the state transition diagram. b) Find the probability that the system is in state 1 at time n = 2. c) Find the stationary distribution of the Markov process.

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Chapter1: Combinatorial Analysis
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Q4)
Consider a system that can be in one of two possible states, S = {0, 1}, and suppose that the state
(4/5 1/5)
(3/5 2/5). Suppose that the system is in state 0 at time n = 0, i.e..,
transition matrix is given by P =
Xo = 0.
a) Draw the state transition diagram.
b) Find the probability that the system is in state 1 at time n = 2.
c) Find the stationary distribution of the Markov process.
Transcribed Image Text:Q4) Consider a system that can be in one of two possible states, S = {0, 1}, and suppose that the state (4/5 1/5) (3/5 2/5). Suppose that the system is in state 0 at time n = 0, i.e.., transition matrix is given by P = Xo = 0. a) Draw the state transition diagram. b) Find the probability that the system is in state 1 at time n = 2. c) Find the stationary distribution of the Markov process.
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