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Math Help - Markov Chain probabilities

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    Markov Chain probabilities

    Let X0,X1, . . . be the Markov chain with state space {1,2,3,4} and transition matrix

     \begin{pmatrix}1/{10} & 0 & 2/{5} & 0.5\\ 0 & 0 & 1/{3}& 2/{3}\\ 0.5 & 0.5 & 0 & 0\\ 0.5 & 0.5 & 0 & 0\\ \end{pmatrix}

    Suppose that the Xi forming the Markov chain of part ii) represent the location
    on day i of a study of a gorilla moving randomly between 4 regions of a forest.
    Write one sentence which explains the significance of the first coordinate
    in the limiting distribution. Your answer should make sense to an intelligent
    non-mathematician and should not use any special mathematical notation or
    terminology.

    thanks for any help.
    Last edited by charikaar; February 3rd 2010 at 11:04 AM.
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