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Consider the Markov chain with transition matrix P = 0 0 1 0 (a) Show that this is irreducible and aperiodic. (b) The process is started in state 1; find the probability that it is in state 3 after two steps. (c) Find the matrix which is the limit of Pn as n→ ∞.

Consider the Markov chain with transition matrix P = 0 0 1 0 (a) Show that this is irreducible and aperiodic. (b) The process is started in state 1; find the probability that it is in state 3 after two steps. (c) Find the matrix which is the limit of Pn as n→ ∞.

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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Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.

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Consider the Markov chain with transition matrix P = +(9) 0 1 0 (a) Show that this is irreducible and aperiodic. (b) The process is started in state 1; find the probability that it is in state 3 after two steps. (c) Find the matrix which is the limit of P" as n→ ∞.
Transcribed Image Text:Consider the Markov chain with transition matrix P = +(9) 0 1 0 (a) Show that this is irreducible and aperiodic. (b) The process is started in state 1; find the probability that it is in state 3 after two steps. (c) Find the matrix which is the limit of P" as n→ ∞.
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