A Markov chain has the transition matrix shownbelow:0.20.10.7]P =0.60.41(Note: For questions 1, 3, and 5, express youranswers as decimal fractions rounded to 4decimal places (if they have more than 4decimal places).)(1) If, on the first observation the system is instate 1, what is the probability that it is in state1 on the next observation?(2) If, on the first observation the system is instate 1, what state is the system most likely tooccupy on the next observation? (If there ismore than one such state, which is the firstone.)(3) If, on the first observation, the system is instate 1, what is the probability that the systemis in state 1 on the third observation?...

The given transition matrix is P=0.20.10.70.600.4100 Let draw a chart to this transition matrix,…

A Markov chain has the transition matrix shown below: 0.2 0.1 0.7 P = 0.6 0.4 1 (Note: For questions 1, 3, and 5, express your answers as decimal fractions rounded to 4 decimal places (if they have more than 4 decimal places).) (1) If, on the first observation the system is in state 1, what is the probability that it is in state 1 on the next observation?

A Markov chain has the transition matrix shown below: 0.2 0.1 0.7 P = 0.6 0.4 1 (Note: For questions 1, 3, and 5, express your answers as decimal fractions rounded to 4 decimal places (if they have more than 4 decimal places).) (1) If, on the first observation the system is in state 1, what is the probability that it is in state 1 on the next observation?

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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Given the transition matrix of a Markov process, what is the probability of going to state 3 from state 1 after 3 steps?