The transition matrix for an absorbing Markov chain is shown below. PQRS r0.1 0 0 0.21 0.3 1 0 0.2 R 0.1 0 1 0.2 Lo.5 0 0 0.4 a) Rewrite this transition matrix in standard form. b) Find the fundamental matrix, F c) If a person starts in state P, on average, how many transitions will they remain in state P? Round to 1 decimal place. d) If a person starts in state S what is the expected number of transition before they are absorbed? Round to 1 decimal place.

The transition matrix for an absorbing Markov chain is shown below. PQRS r0.1 0 0 0.21 0.3 1 0 0.2 R 0.1 0 1 0.2 Lo.5 0 0 0.4 a) Rewrite this transition matrix in standard form. b) Find the fundamental matrix, F c) If a person starts in state P, on average, how many transitions will they remain in state P? Round to 1 decimal place. d) If a person starts in state S what is the expected number of transition before they are absorbed? Round to 1 decimal place.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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