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(c) 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 p of moving to the right (clockwise) and 1-p to the left (anticlockwise). Let X, denote its location step. The process on the circle after the nth {X,, n2 0} is a Markov chain. (i) Find the transition probability matrix. (ii) Calculate the limiting probabilities.

(c) 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 p of moving to the right (clockwise) and 1-p to the left (anticlockwise). Let X, denote its location step. The process on the circle after the nth {X,, n2 0} is a Markov chain. (i) Find the transition probability matrix. (ii) Calculate the limiting probabilities.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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(c) 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 p of moving to the right (clockwise) and 1-p to the left (anticlockwise). Let X, denote its location on the circle after the nth step. The process {X,, n 2 0} is a Markov chain. (i) Find the transition probability matrix. (ii) Calculate the limiting probabilities.
Transcribed Image Text:(c) 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 p of moving to the right (clockwise) and 1-p to the left (anticlockwise). Let X, denote its location on the circle after the nth step. The process {X,, n 2 0} is a Markov chain. (i) Find the transition probability matrix. (ii) Calculate the limiting probabilities.
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