Given the transition matrix P for a Markov chain, find P(2) and answer the following questions....

Question

Question

Given the transition matrix P for a Markov chain, find P(2) and answer the following questions. Write all answers as integers or decimals.

P= 0.1 0.4 0.5
0.6 0.3 0.1
0.5 0.4 0.1

If the system begins in state 2 on the first observation, what is the probability that it will be in state 3 on the third observation?

If the system begins in state 3, what is the probability that it will be in state 1 after two transitions?

If the system is in state 1 on the third observation, what is the probability that it will be in state 1 on the fifth observation?

Answer 1

Answer #1

Answer 2

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