In this question you will find the steady-state probability distribution for the regular transistion matrix below...
In this question you will find the steady-state probability distribution for the regular transistion matrix below with 3 states A, B, and C.
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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?
Homework Answers
| let fixed probability vector is W = [a b c] | |||
| therefore from relation: WT =W | |||
| 0.3a+0.5b+0.4c=a…..(1) | |||
| 0.3a+0b+0.2c=b…..(2) | |||
| 0.4a+0.5b+0.4c=c…..(3) | |||
| solving above: a=0.38168 ; b=0.19847 ; c=0.41985 | |||
long term probability of being in state A =0.38168
long term probability of being in state B =0.19847
long term probability of being in state C=0.41985
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In this question you will find the steady-state probability
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