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7. For the following Markov chains, determine i) Which states are transient and which are recurrent. ii) Which states form a closed subset? iii)
7. For the following Markov chains, determine i) Which states are transient and which are recurrent. ii) Which states form a closed subset? iii) Whether it is irreducible or not? iv) Period of each state 2 00 1 0 0 0 a) T = 0 3, 0 4 0 ( 0 b) T = 4 4 4 0 4 ) 00000 ( 2/3 0 3 1 00 c) T = 0 13 0 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 000 01 0 0 0 001 0 0 00 d) T = 0 9/1 0 13 0 0 0 000 0 1 0 3 0 0 0 1 0 00 1 0 00 0 100 % % % 0 T = 1 0 0 0 0 73 0 3/ 4 18 0 % 0 0 0 % % 0 % 00 00 00 0 '8 0 8 3/8 0 0 0 0 1
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Probability & Statistics For Engineers & Scientists
Authors: Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying
7th Edition
9789813131279, 130415294, 9813131276, 978-0130415295
