4. A particle moves on a circle through points that have been marked 0, 1, 2, 3, 4, 5 (ina clockwise order). The particle starts at point 0. At each

step it has probability 0.25 of moving one point clockwise (0 follows 5) and 0.75 of moving one point counter-clockwise.Let X, (n2 0) denote its location on the circle after step n. (a) Construct the (one-step) transition matrix for X. (b) Determine n-step transition matrices for n = 5, 10,20.