Is there a unique way of filling in the missing probabilities in the transition diagram shown to the​ right? If​ so, complete the transition diagram and write the corresponding transition matrix

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
Problem 47E: Explain how you can determine the steady state matrix X of an absorbing Markov chain by inspection.
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Is there a unique way of filling in the missing probabilities in the transition diagram shown to the​ right? If​ so, complete the transition diagram and write the corresponding transition matrix. If​ not, explain why.
Write the corresponding transition matrix P, if possible. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A.
A
в
C
P= B
(Type an integer or decimal for each matrix element.)
O B. There is no unique way of finding the missing probabilities, so it is not possible to write the transition matrix.
Transcribed Image Text:Write the corresponding transition matrix P, if possible. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. A в C P= B (Type an integer or decimal for each matrix element.) O B. There is no unique way of finding the missing probabilities, so it is not possible to write the transition matrix.
Is there a unique way of filling in the missing
probabilities in the transition diagram shown to the
right? If so, complete the transition diagram and write
the corresponding transition matrix. If not, explain
why.
0.4
B
0.5
A
0.4
0.2
C
0.5
Is there a unique way of filling in the missing probabilities in the transition diagram? If so, identify the missing probabilities. If not, explain why. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. Yes. The probability of transition from A to A is
the probability of transition from B to C is
and the probability of transition from C to B is
(Type integers or decimals.)
O B. No. At least one of the missing probabilities is needed to find the other two.
O C. No. It is possible to find the probability of transition from A to A, but the probability of transition from B to C
needed to find the probability of transition from C to B (and vice versa).
O D. No. It is possible to find the probability of transition from B to C and from C to B, but there is not enough information to find the probability of transition from A to A.
Transcribed Image Text:Is there a unique way of filling in the missing probabilities in the transition diagram shown to the right? If so, complete the transition diagram and write the corresponding transition matrix. If not, explain why. 0.4 B 0.5 A 0.4 0.2 C 0.5 Is there a unique way of filling in the missing probabilities in the transition diagram? If so, identify the missing probabilities. If not, explain why. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. Yes. The probability of transition from A to A is the probability of transition from B to C is and the probability of transition from C to B is (Type integers or decimals.) O B. No. At least one of the missing probabilities is needed to find the other two. O C. No. It is possible to find the probability of transition from A to A, but the probability of transition from B to C needed to find the probability of transition from C to B (and vice versa). O D. No. It is possible to find the probability of transition from B to C and from C to B, but there is not enough information to find the probability of transition from A to A.
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