   # The transition matrix for a Markov process is given by S t a t e 1 2 T = S t a t e S t a t e 1 2 [ 1 2 3 4 1 2 1 4 ] and the initial-state distribution vector is given by X 0 = S t a t e S t a t e 1 2 [ 1 3 2 3 ] Find T X 0 and interpret your result with the aid of a tree diagram. ### Finite Mathematics for the Manager...

12th Edition
Soo T. Tan
Publisher: Cengage Learning
ISBN: 9781337405782

#### Solutions

Chapter
Section ### Finite Mathematics for the Manager...

12th Edition
Soo T. Tan
Publisher: Cengage Learning
ISBN: 9781337405782
Chapter 9.1, Problem 14E
Textbook Problem
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## The transition matrix for a Markov process is given by S t a t e 1 2 T = S t a t e S t a t e 1 2 [ 1 2 3 4 1 2 1 4 ] and the initial-state distribution vector is given by X 0 = S t a t e S t a t e 1 2 [ 1 3 2 3 ] Find T X 0 and interpret your result with the aid of a tree diagram.

To determine

To find:

The probability distribution of the system after one observation, given by TX0.

### Explanation of Solution

Approach:

TX0 represents the probability distribution of the system after one observation, where T represents the transition matrix and X0 represents the initial-state distribution vector.

Calculation:

Given that,

T= and X0=.

Then,

TX0==[

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