Question

A 3-state Markov chain has transition matrix P = [[0.1, 0.4, 0.5], [0.2, 0.5, 0.3], [0.6, 0.3, 0.1]] If the initial state is X0 = (0, 1, 0), find X1. Enter your answer as a row vector in the form (0.1,0.2,0.3)

          A 3-state Markov chain has transition matrix
P = [[0.1, 0.4, 0.5], [0.2, 0.5, 0.3], [0.6, 0.3, 0.1]]
If the initial state is X0 = (0, 1, 0), find X1.
Enter your answer as a row vector in the form (0.1,0.2,0.3)

Added by Steven B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

06/16/2023

Step 1

- The initial state vector is $\mathbf{X}_0 = (0, 1, 0)$. - The transition matrix is \[ \mathbf{P} = \begin{bmatrix} 0.1 & 0.4 & 0.5 \\ 0.2 & 0.5 & 0.3 \\ 0.6 & 0.3 & 0.1 \end{bmatrix} \] Show more…

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A 3-state Markov chain has transition matrix P = [0.1 0.4 0.5; 0.2 0.5 0.3; 0.6 0.3 0.1] If the initial state is X0 = (0, 1, 0), find X1. Enter your answer as a row vector in the form (0.1,0.2,0.3)