Question: Problem 4 . Consider a Markov process that transit between states 0 , 1 and 2 , with the transition probability matrix P = From

Problem 4. Consider a Markov process that transit between states 0,1 and 2, with the
transition probability matrix
P=
From this matrix we see that once the process reaches state 0 or state 2, it stays there
forever. Hence these two states are called absorbing states. If the process starts at state 1,
the process may stay in state 1 for a duration but eventually the process will leave state
1 and enter one of the absorbing states.
What is the probability that the process twill enter into state 2 given the process
starts at state 1?
On average how long does it take to reach one of the absorbing states?
Problem 4. Consider a Markov process that transit between states 0,1

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