ITG STA 422 C.A.T MAY2023 (page 5 x X ← C SOMAS 12 (12) WhatsApp ✰ somas2.uonbi.ac.ke/mod/quiz/attempt.php?attempt=250476&cmid=16595&page=4 P = X This Course ▾ My Courses ▾ * Type here to search G Let (Z(t),t20) be a birth and death X A discrete time Markov chain {Xt, t = 0, 1, 2, . . } with state space S={1, 2, 3, 4, 5, 6, 7} has transition probability matrix 0 0.33 0.67 0 0 0 0 0 0 0 0 0.4 0.6 0 0.75 0 0 0.25 0 0 0 0 0 0 0.5 0 0 0.5 0 0.6 0 0 0 0.4 0 0 0.4 0 0 0.6 0 0 0 0 0 0.75 0 0 0.25 (1) How many classes are present in the chain? (ii)Of these classes, how many are aperiodic and recurrent? (iii) Let pij be the probability of moving from state i to state j. Compute the value of limn→∞ P31 b bartleby Portal

ITG STA 422 C.A.T MAY2023 (page 5 x X ← C SOMAS 12 (12) WhatsApp ✰ somas2.uonbi.ac.ke/mod/quiz/attempt.php?attempt=250476&cmid=16595&page=4 P = X This Course ▾ My Courses ▾ * Type here to search G Let (Z(t),t20) be a birth and death X A discrete time Markov chain {Xt, t = 0, 1, 2, . . } with state space S={1, 2, 3, 4, 5, 6, 7} has transition probability matrix 0 0.33 0.67 0 0 0 0 0 0 0 0 0.4 0.6 0 0.75 0 0 0.25 0 0 0 0 0 0 0.5 0 0 0.5 0 0.6 0 0 0 0.4 0 0 0.4 0 0 0.6 0 0 0 0 0 0.75 0 0 0.25 (1) How many classes are present in the chain? (ii)Of these classes, how many are aperiodic and recurrent? (iii) Let pij be the probability of moving from state i to state j. Compute the value of limn→∞ P31 b bartleby Portal

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 29E

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