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

$\displaystyle \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.