Consider a Markov random process whose state transition diagram is shown in figure below. Write the state transition matrix for the Markov process whose corresponding state transition diagram is shown in the above figure.List the pairs of communicating states.List 2 pairs of accessible states and 2 pairs of inaccessible states.List all the transient statesList all the recurrent statesIdentify the classes of the Markov chain and list the closed and non-closedFind P[X2 = 2 | X1 = 3] Find P[X6 = 4, X5 = 3, X4 = 2, X3 =3, X2 = 2, X1 = 1, X0 =1]. where Xt denotes the state of the random process at time instant t.The initial probability distribution is given by X0 = [2/3 0 0 0 0 0 1/3].KIndly request you to refer to the screenshot for the figure Q3) Consider a Markov random process whose state transition diagram is shown in figurebelow.4713.113111Write the state transition matrix for the Markov process whose correspondingstate transition diagram is shown in the above figure.List the pairs of communicating states.List 2 pairs of accessible states and 2 pairs of inaccessible states.List all the transient states(i)(ii)(iii)(iv)(v)(vi)Find P[X2=2|X1 = 3]List all the recurrent statesIdentify the classes of the Markov chain and list the closed and non-closed classes.(vii)(viii) Find P[X, = 4, Xs = 3, X4 = 2, X3 =3, X2 = 2, X1 = 1, Xo =1].where X, denotes the state of the random process at time instant t.The initial probability distribution is given by Xo= [2/3 0 0 0 0 0 1/3].

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Q3) Consider a Markov random process whose state transition diagram is shown in figure below. 4 1 6. 1 1 Write the state transition matrix for the Markov process whose corresponding state transition diagram is shown in the above figure. List the pairs of communicating states. List 2 pairs of accessible states and 2 pairs of inaccessible states. List all the transient states (i) (ii) (iii) (iv) (v) (vi) List all the recurrent states Identify the classes of the Markov chain and list the closed and non-closed classes. (vii) Find P[X2=2|X, = 3] (viii) Find P[X6 = 4, Xs = 3, X4 = 2, X3 =3, X2 = 2, X¡ = 1, Xo =1]. where X; denotes the state of the random process at time instant t. The initial probability distribution is given by Xo= [2/3 0 0 0 0 0 1/3]. || 2/3 1/3

Q3) Consider a Markov random process whose state transition diagram is shown in figure below. 4 1 6. 1 1 Write the state transition matrix for the Markov process whose corresponding state transition diagram is shown in the above figure. List the pairs of communicating states. List 2 pairs of accessible states and 2 pairs of inaccessible states. List all the transient states (i) (ii) (iii) (iv) (v) (vi) List all the recurrent states Identify the classes of the Markov chain and list the closed and non-closed classes. (vii) Find P[X2=2|X, = 3] (viii) Find P[X6 = 4, Xs = 3, X4 = 2, X3 =3, X2 = 2, X¡ = 1, Xo =1]. where X; denotes the state of the random process at time instant t. The initial probability distribution is given by Xo= [2/3 0 0 0 0 0 1/3]. || 2/3 1/3

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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