Bob and Doug play a lot of Ping-Pong, but Doug is a much better player, and wins 80% of their games.To make up for this, if Doug wins a game he will spot Bob five points in their next game. If Doug wins again he willspot Bob ten points the next game, and if he still wins the next game he will spot him fifteen points, and continueto spot him fifteen points as long as he keeps winning. Whenever Bob wins a game he goes back to playing thenext game with no advantage.It turns out that with a five-point advantage Bob wins 30% of the time; he wins 40% of the time with a ten-pointadvantage and 70% of the time with a fifteen-point advantage.Model this situation as a Markov chain using the number of consecutive games won by Doug as the states. Thereshould be four states representing zero, one, two, and three or more consecutive games won by Doug. Find thetransition matrix of this system, the steady-state vector for the system, and determine the proportion of gamesthat Doug will win in the long run under these conditions.000P=0000000S = 00Proportion of games won by Doug = 0

There are two players, Bob and Doug. Doug is a much better player and wins 80% of their games. If…

Answered: Bob and Doug play a lot of Ping-Pong,…

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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Complete the following probability distribution table: Probability Distribution Table P(X) 0.3 16 24 0.2 34 0.3 Submit Question

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