Find the vector of stable probabilities for the Markov chain whose transition matrix is0.60.20.211W =

Given, the transition matrix is 0.60.20.2100100

Answered: Find the vector of stable probabilities…

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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PLEASE HELP ME GET THE ANSWER FOR PART B AND IT HAS TO BE FRACTION/INTEGER/ OR EXACT DECIMAL AND THE ASWER I GOT 0.66 FOR FIRST AND 0.99 FOR SECOND AND BOTHER WERE WRONG. The computer center at Rockbottom University has been experiencing computer downtime. Let us assume that the trials of an associated Markov process are defined as one-hour periods and that the probability of the system being in a running state or a down state is based on the state of the system in the previous period. Historical data show the following transition probabilities. To From Running Down Running 0.90 0.10 Down 0.20 0.80 (a) If the system is initially running, what is the probability of the system being down in the next hour of operation? ANSWER FOR PART A IS 0.10 (b) What are the steady-state probabilities of the system being in the running state and in the down state? (Enter your probabilities as fractions.) Running?1= Your answer must be a fraction, integer, or exact decimal. .66 IS…
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In a city, a study has disclosed that the relationships between the occurrences of a dry day and a wet day in December. From the historical records, the study has shown that the probabilities of a dry day following a dry day and a wet day are 0.95 and 0.70, respectively, in December. Consider a 2-state first order Markov chain for a sequence of dry and wet days. Generate the transitional probability matrix for the relationships between dry and wet days in December. Determine the numbers of dry days and wet days in December over a long period.

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