. For a simple random walk assume there are reflecting barriers at 0 and 3.

That is, when the particle gets to 0 or 3 it goes on the next step to states 1 or 2 (respectively) with probability one. Thus the transition matrix is 0 1 0 0 q 0 p 0 0 q 0 p 0 0 1 0_

(b) If the answer to

(a) is yes, compute the equilibrium probability distribution p.

(c) If Xq = 3, what is the eventual probability that the position of the particle is 3?