1. Identify all absorbing states in the Markov chains having the following matrix. Decide whether the Markov chain is absorbing. 2 3 1 1[1 00 a) 2 0.3 0.5 0.2 0 1 30 1 0.6 0 0.9 0 1 a) 2 3 2 3 4 0 0 0.4 10 0 0.1 00 0 0

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1. Identify all absorbing states in the Markov chains having
the following matrix. Decide whether the Markov chain is
absorbing.
1 2 3
1[ 1
a) 2 0.3
0.5 0.2
3
1.
1
4
[0.6 0
0.4
01
1
a) 2
0.9
0.1
0 0 0
4
2. Find the first three powers of each of the transition matrix.
For each transition matrix, find the probability that state 1
changes to state 2 after three repetition of the
experiment.
a) C = l0.72 0.28
0.5
[0.8 0.1 0.1]
b) E = |0.3 0.6 0.1
1
Transcribed Image Text:1. Identify all absorbing states in the Markov chains having the following matrix. Decide whether the Markov chain is absorbing. 1 2 3 1[ 1 a) 2 0.3 0.5 0.2 3 1. 1 4 [0.6 0 0.4 01 1 a) 2 0.9 0.1 0 0 0 4 2. Find the first three powers of each of the transition matrix. For each transition matrix, find the probability that state 1 changes to state 2 after three repetition of the experiment. a) C = l0.72 0.28 0.5 [0.8 0.1 0.1] b) E = |0.3 0.6 0.1 1
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