A Markov chain has three states, A , B , and C . The probability of going from state A to state C in one trial is .5 , the probability of going from state B to state A in one trial is .8 . the probability of going from state B to state C in one trial is .2 , the probability of going from state C to state A in one trial is .1 , and the probability of going from state C to state B in one trial is .3 . Draw a transition diagram and write a transition matrix for this chain.
A Markov chain has three states, A , B , and C . The probability of going from state A to state C in one trial is .5 , the probability of going from state B to state A in one trial is .8 . the probability of going from state B to state C in one trial is .2 , the probability of going from state C to state A in one trial is .1 , and the probability of going from state C to state B in one trial is .3 . Draw a transition diagram and write a transition matrix for this chain.
Solution Summary: The author explains how to graph the transition diagram from the given information. The probability of going from A to C in one trial is 0.5.
A Markov chain has three states,
A
,
B
, and
C
. The probability of going from state
A
to state
C
in one trial is
.5
, the probability of going from state
B
to state
A
in one trial is
.8
. the probability of going from state
B
to state
C
in one trial is
.2
, the probability of going from state
C
to state
A
in one trial is
.1
, and the probability of going from state
C
to state
B
in one trial is
.3
. Draw a transition diagram and write a transition matrix for this chain.
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Introduction: MARKOV PROCESS And MARKOV CHAINS // Short Lecture // Linear Algebra; Author: AfterMath;https://www.youtube.com/watch?v=qK-PUTuUSpw;License: Standard Youtube License
Stochastic process and Markov Chain Model | Transition Probability Matrix (TPM); Author: Dr. Harish Garg;https://www.youtube.com/watch?v=sb4jo4P4ZLI;License: Standard YouTube License, CC-BY