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.

Need help with this question. Thank you :)

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.

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:

Consider the two state switch model from the videos with state space S = {1,2} and transition rate matrix where X = 1 and u = 1.2. (a) If the system is in state 1, what is the mean time until it transitions to state 2? Number (b) Evaluate P11 (0) Number (c) Evaluate P11 (0.6) Number (d) Evaluate P21 (0.6) Number

o]. (C) Repeat part (A) for So=[0.6 0.4] (D) Find SP for any matrix S you identified in parts (A)-(C). (E) Describe the long-term behavior of the state matrices of this Markov chain. A B 0.4 0.6 B 0.2 0.8 The transition matrix for a Markov chain is shown to the right. (A) If So=[01], find S2, S4, Sg. Can you identify a state matrix S that the matrices Sy seem to be approaching? (B) Repeat part (A) for So=10 P= AB А