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Hey, can someone help me with this please. Thank you. Given the following transition probability matrix: 1 0 :1: 0 0 0.5 0 2 0.5

Hey, can someone help me with this please. Thank you.

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Given the following transition probability matrix: 1 0 :1: 0 0 0.5 0 2 0.5 0 0 0.5 0 0 3 0 0 0.5 (l 0 0.5 4 0 0.5 0 0 0.5 0 5 y 0 0 z 0 0 6 0 0 1 0 0 0 (a) (3 points) Find the values of 2:, y, and z, where y = 2:4. (h) (2 points) Are there any absorbent states? If yes, state them. (c) (2 points) Find the period of each state. ((1) (3 points) Give all the classes. (e) (2 points) Identify whether the states are recurrent or transient. (f) (2 points) Is this Markov Chain ergodic? (g) (2 points) Is this Markov Chain irreducible? (h) (4 points) What is P(X5 = 6|Xn = 1)

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