50. A Markov chain with states 1,..., 6 has transition probability matrix .2.4 0 .3 0.1 0 .4 0 .2 .3 .7 0 0 .6 .4 0 0 .1 0 0 0 0 .3 0 0 0 0 0 0 0 .5 .5 0.2 .8 (a) Give the classes and tell which are recurrent and which are transient. (b) Find limn→∞0 P1₁, 2. (c) Find limn→∞0 P5,6. pn

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Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!
50. A Markov chain with states 1,..., 6 has transition probability matrix
21OO OO
.2 .4
.1 .3
0
0
43000
0
0
0
003600
.3
347 400
.3 0
.4
.7
.6 .4
OOOOS
120050
.1
.2
.5 .5
.2 .8
(a) Give the classes and tell which are recurrent and which are transient.
(b) Find lim→∞0 Pl. 2.
(c) Find lim→∞ P5.6-
(d) Find limn→∞ P₁,3·
Transcribed Image Text:50. A Markov chain with states 1,..., 6 has transition probability matrix 21OO OO .2 .4 .1 .3 0 0 43000 0 0 0 003600 .3 347 400 .3 0 .4 .7 .6 .4 OOOOS 120050 .1 .2 .5 .5 .2 .8 (a) Give the classes and tell which are recurrent and which are transient. (b) Find lim→∞0 Pl. 2. (c) Find lim→∞ P5.6- (d) Find limn→∞ P₁,3·
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