Question: 4.1. Determine the limiting distribution for the Markov chain whose transition probability matrix is wherep > 0, q > 0, andp + q = 1.

4.1. Determine the limiting distribution for the Markov chain whose transition probability matrix is

0 1 2 3 4 0 q p 0 0 0 19

wherep > 0, q > 0, andp + q = 1.

0 1 2 3 4 0 q p 0 0 0 19 0 p 0 0 0 P = 2 9 0 0 P P0 3 q 4 000 0 0 0 p 1000 0 0

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