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Given the following transition matrix, what is the probability that the chain is in State 3 in the long run? Give your answer in 3 decimal places. 0.25 0.5 0.25. 0.5 0.5 0 O 05 05.

Given the following transition matrix, what is the probability that the chain is in State 3 in the long run? Give your answer in 3 decimal places. 0.25 0.5 0.25. 0.5 0.5 0 O 05 05.

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
Problem 1P
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Given the following matrix is a state transition matrix, what is 1? .. 0.5 Initially we have 2 red marbles in Box 1 and 2 white marble in Box 2. At every time step, we take a marble from each box and swap. Let X; be the number of red marbles in Box 1 at time t. There are 3 states: 0, 1, 2. Let P be the transition matrix for {X;}, what is (P)oo (probability from state 0 to state 0)? .Given the following transition matrix, what is the probability that the chain is in State 3 in the long run? Give your answer in 3 decimal places. ,0.25 0.5 0.25. (0.5 0.5 0 0 0.5 0.5 Consider the Markov Chain in Example 1, suppose Xo=2, find P(X3=3). Give your answer in 3 decimal place. 0.5 0.5 0 0 0.5 0.5 0 0 0 0.5 0.5) 0 0 1
Transcribed Image Text:Given the following matrix is a state transition matrix, what is 1? .. 0.5 Initially we have 2 red marbles in Box 1 and 2 white marble in Box 2. At every time step, we take a marble from each box and swap. Let X; be the number of red marbles in Box 1 at time t. There are 3 states: 0, 1, 2. Let P be the transition matrix for {X;}, what is (P)oo (probability from state 0 to state 0)? .Given the following transition matrix, what is the probability that the chain is in State 3 in the long run? Give your answer in 3 decimal places. ,0.25 0.5 0.25. (0.5 0.5 0 0 0.5 0.5 Consider the Markov Chain in Example 1, suppose Xo=2, find P(X3=3). Give your answer in 3 decimal place. 0.5 0.5 0 0 0.5 0.5 0 0 0 0.5 0.5) 0 0 1
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