Use the transition matrix and initial probability vector to find the resulting third probability vector. Round all numerical values in your answer to three decimal places.

Question

Use the transition matrix  and initial probability vector  to find the resulting third probability vector. Round all numerical values in your answer to three decimal places. ​

Quizplus · Accepted Answer

Multiplying the transition matrix by the initial probability vector gives:

[0.7 0.1 0.2] [0.5]     [0.42]
[0.25 0.65 0.1] [0.3] = [0.355]
[0.1 0.2 0.7] [0.2]     [0.285]

Rounding each value to three decimal places gives the resulting probability vector:

[0.42 0.355 0.285]

Therefore, the answer is (C).

Use the Transition Matrix and Initial Probability Vector