Question

In: Statistics and Probability

The following is the transition probability matrix of a Markov chain with states 1, 2, 3,...

The following is the transition probability matrix of a Markov chain with states 1, 2, 3, 4 P

0 1 2 3
0 .4 .3 .2 .1
1 .2 .2 .2 .4
2 .25 .25 .5 0
3 .2 .1 .4 .3


If Xnot = 1
(a) find the probability that state 3 is entered before state 4;


(b) find the mean number of transitions until either state 3 or state 4 is entered.

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