* 14. A particle moves on a circle through points which have been marked 0, 1, 2, 3, 4 (in a clockwise order). At each step it has a probability ñ of moving to the right (clockwise) and 1 - ñ to the left (counterclockwise). Let Xn denote its location on the circle after the /ith step. The process

{Xn, ç > 0} is a Markov chain.

(a) Find the transition probability matrix.

(b) Calculate the limiting probabilities.