Given the initial distribution matrix P = [0.2 0.3 0.5] 0.5 0 0.5 1 0 0 and the initial distribution p(0) = [0.5 0.5 0] answer the following questions: (a) Is this Markov Chain (MC) irreducible? (b) Find p(1) and p(2). (c) Calculate P(X₁ = 1; X₂ = 2; X3 = 0). (d) Determine P(X3 = 1|X₁ = 0). (e) Find f2) and f. (f) Determine 22. (g) Find d(2). (h) What is the long-run average number of visits to state 2?

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Q: Consider a Markov chain {Xn} with states 0, 1, 2 with the transition probability matrix given by

A: Note: Hi there! Thank you for posting the question. Unfortunately, some information in your question…

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A: The steady state vector is  x=⎣⎢⎡​31​61​21​​⎦⎥⎤​Explanation:

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Q: Determine whether the Markov chain is irreducible. (2) Find a stationary distribution π;

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Q: solve part c

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A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

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A: It is an important part of statistics. It is widely used.

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Q: please solve it on paper

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A: is the discrete-time, homogeneous Markov chain.State space Initial State, The transition matrix:

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Q: Pr. 4 Find the limit state of the Markov process modeled by the given matrix. Show the details. 0.4…

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Q: Find  X2  (the probability distribution of the system after two observations) for the distribution…

A: It is provided that X0=0.90.1, T=0.10.60.90.4. We need to calculate X2. Two matrices can only be…

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A: Step 1:(a) ii. Irreducibility and Positive RecurrenceIrreducibility: The Markov chain is irreducible…

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Q: 1. (a) Consider a discrete-time Markov chain X = {X₂: ne N} with a transition matrix 0 1/2 1/2 M =…

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Q: 4. Find the stationary distribution of the Markov chain shown below using the reversible property.…

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