Suppose qo = [1/4, 3/4] is the initial state distribution for a Markov process with the following transition matrix: %3D [1/2 1/21 M = [ 3/4 1/4] (a) Find q1, 92, and q3. (b) Find the vector v that qo M" approaches. (c) Find the matrix that M" approaches.

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Let P = (0.9 0.9 0.1 0.2 0.8 with two states A and B. be a transition matrix for a Markov Chain 1. What proportion of the state A population will be in state B after two steps Number 2. What proportion of the state B population will be in state B after two steps Number 3. Find the steady state vector x x1= Number X2= Number Write the results accurate to the 3rd decimal place

Can someone please help me with this question. I am having so much trouble.

Can someone please help me with this question. I am having so much trouble.

A Markov chain X₁, X₁, X₂ ... on the states 0, 1, 2 has the transition probability matrix 1 2 0.2 0.7 P 10.2 0.2 0.6 2 0.6 0.1 0.3 and initial distribution Po = P(X₁ = 0) = 0.2, P₁ = P(Xo = 1) = 0.3, and P2 = P(Xo = 2) = 0.5. (1) Compute the two-step transition matrix; (2) What is P(X3 = 1|X₁ = 0)? (3) What is P(X3 = 0, X5 = 2|X₂ = 1)? (4) What is P(Xo = 2, X₂ = 0, X3 = 1)? 0 0 0.1

Suppose that a Markov chain has transition probability matrix 1 2 1 P (1/2 1/2 2 1/4 3/4 (a) What is the long-run proportion of time that the chain is in state i, i = 1,2 ? 5. What should r2 be if it is desired to have the long-run average (b) Suppose that ri reward per unit time equal to 9?

fourth digit is 2

The transition matrix of a Markov Process is given by r- (: ) .8 .6 .2 .4 .72 At a certain time t , the distribution vector is v = .28 2. -3. Note: You are given that T -1. 4. (a) Enter the distribution vector one time unit after t in the box below: ab sin (a) f dx Ω (b) Enter the distribution vector one time unit before t in the box below: