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- P is the transition matrix for a Markov chain with two states. X0 is the initial state vector for the population. Find x1 & x2, and find the steady state vector.P is the transition matrix of a regular Markov chain. Find th e long range transition matrix L of PFind the first three powers of each of the transition matrix. For each transition matrix, find the probability that state 1 changes to state 2 after three repetition of the experiment. a) C= 0.5 0.5 0.72 0.28 b) E = 0.8 0.1 0.1 0.3 0.6 0.1 0 1 0
- Use the matrix of transition probabilities P and initial state matrix X0 to find the state matrices X1, X2, and X3.You are given a transition matrix P. Find the steady-state distribution vector. P = 1 3 1 3 1 3 0 0 1 1 0 0Determine whether the given matrix is a transition matrix. If it is, determine whether it is regular.
- In a college class, 70% of the students who receive an “A” on one assignment will receive an “A” on the next assignment. On the other hand, 10% of the students who do not receive an “A” on one assignment will receive an “A” on the next assignment. Find and interpret the steady state matrix for this situation.For the attached transition probability matrix for a Markov chain with {Xn ; n = 0, 1, 2,.........}: a) How many classes exist, and which two states are the absorption states? b) What is the limn->inf P{Xn = 3 | X0 = 3}? b) What is the limn->inf P{Xn = 1 | X0 = 3}?Consider a Markov chain with transition matrix, where 0 < a, b, c < 1. Find the stationary distribution.