In each step someone randomly selects precisely one number from sequence {1; 2; 3; 4}. The chosen number can be selected again in any of the subsequent steps. The current state of the Markov chain is the minimum of all the numbers selected up to and including the current step. 1. Write the initial distribution and the transition probability matrix for the Markov chain; 2. Draw the graph of the Markov chain; 3. Calculate the probability that after 2 steps the system will be in a state with a number greater than 2.
In each step someone randomly selects precisely one number from sequence {1; 2; 3; 4}. The chosen number can be selected again in any of the subsequent steps. The current state of the Markov chain is the minimum of all the numbers selected up to and including the current step. 1. Write the initial distribution and the transition probability matrix for the Markov chain; 2. Draw the graph of the Markov chain; 3. Calculate the probability that after 2 steps the system will be in a state with a number greater than 2.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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