Question

In this question you will find the steady-state probability distribution for the regular transition matrix below...

In this question you will find the steady-state probability distribution for the regular transition matrix below with 3 states A, B, and C.

A B C
A 0.0 0.5 0.5
B 0.8 0.1 0.1
C 0.1 0.8 0.1

Give the following answers as fractions OR as decimals correct to at least 5 decimal places.

What is the long term probability of being in state A?

What is the long term probability of being in state B?

What is the long term probability of being in state C?

***I WILL RATE FOR YOUR HELP***

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Long term probability of being in state A = 0.35096

Long term probability of being in state B = 0.40865

Long term probability of being in state C = 0.24038

These probabilities are calculated by multiplying the given matrix by itself till the consecutive iterations results to the same values

The result of the given matrix to the power of 20 is given:

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