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Problem 4: Maze A mouse travels in a maze (shown in figure). At each discrete time-step, the mouse chooses one of the doors from the room it is curently in (uniformly at random), and moves to the cho...
2. A mouse is let loose in the maze of Figure 1. From each compartment the mouse chooses one of the adjacent compartments with equal probability, independent of the past. The mouse spends 1 me unit in each compartment. Let {Xn, n 20 be the Markov chain that describes the position of the mouse for times n2 0. 4 Figure 1: A maze. (a) Determine the one-step transition matrix. (b) Use matrix multiplication on a computer to evaluate the probability...
part b & c, please
A mouse is let loose in the maze of Figure 1. From each compartment the mouse chooses one of the adjacent compartments with equal probability, independent of the past. The mouse spends 1 time unit in each compartment. Let {Xn, n 〉 0} be the Markov chain that describes the position of the mouse for times n 2 0 4 Figure 1: A maze (a) Determine the one-step transition matrix (b) Use matrix multiplication on...