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Could the given matrix be the transition matrix of a regular Markov chain? 0.7 0.3 0.8...
Could the given matrix be the transition matrix of a regular Markov chain? 0.8 0.2 0.1 0.3 Choose the correct answer below Yes No
could the given matrix be the transition matrix of a regular markov chain? finite Could the given matrix be the transition matrix of a regular Markov chain? 0.4 0.6 0.2 0.3 Choose the correct answer below. Yes No
Q.5 6 marks Markov chain with the following (a) Draw the state transition diagram for transition matrix P 0 0.5 0 0.5 0 0.2 0.8 0 0 O P = \ 0 0.1 0 0.2 0.7 0 0.9 0 0.1 0 0 0 0 0 1 on five states 1,2,3,4,5} 2 marks (b) Identify the communicating classes of the Markov chain and identify whether they are open or closed. Write them in set notation and mark them on the transition...
Let Xn be a Markov chain with state space {0, 1, 2}, and transition probability matrix and initial distribution π = (0.2, 0.5, 0.3). Calculate P(X1 = 2) and P(X3 = 2|X0 = 0) 0.3 0.1 0.6 p0.4 0.4 0.2 0.1 0.7 0.2
2. The Markov chain (Xn, n = 0,1, 2, ...) has state space S = {1, 2, 3, 4, 5} and transition matrix (0.2 0.8 0 0 0 0.3 0.7 0 0 0 P= 0 0.3 0.5 0.1 0.1 0.3 0 0.1 0.4 0.2 1 0 0 0 0 1 ) (a) Draw the transition diagram for this Markov chain.
-1:1 0.5 0.7 0.5 be the transition matrix for a Markov chain with two states. Let x be the initial state vector for the population. 0.5 0.3 0.5 Find the steady state vector x. (Give the steady state vector as a probability vector.) x= Need Help?Read It Talk to a Tutor
1. A Markov chain {X,,n0 with state space S0,1,2 has transition probability matrix 0.1 0.3 0.6 P=10.5 0.2 0.3 0.4 0.2 0.4 If P(X0-0)-P(X0-1) evaluate P[X2< X4]. 0.4 and P 0-2) 0.2. find the distribution of X2 and
Given the transition matrix P for a Markov chain, find P(2) and answer the following questions. Write all answers as integers or decimals. P= 0.1 0.4 0.5 0.6 0.3 0.1 0.5 0.4 0.1 If the system begins in state 2 on the first observation, what is the probability that it will be in state 3 on the third observation? If the system begins in state 3, what is the probability that it will be in state 1 after...
A Markov chain X0, X1, X2,... has transition matrix 012 0 0.3 0.2 0.5 P = 1 0.5 0.1 0.4 .2 0.3 0.3 0.4 (i) Determine the conditional probabilities P(X1 = 1,X2 = 0|X0 = 0),P(X3 = 2|X1 = 0). (ii) Suppose the initial distribution is P(X0 = 1) = P(X0 = 2) = 1/2. Determine the probabilities P(X0 = 1, X1 = 1, X2 = 2) and P(X3 = 0). 2. A Markov chain Xo, Xi, X2,. has...
(n)," 2 0) be the two-state Markov chain on states (. i} with transition probability matrix 0.7 0.3 0.4 0.6 Find P(X(2) 0 and X(5) X() 0)