. If the machine is running smoothly, there is 1% chance that by the next morning it will have exploded (this will destroy the machine), there is also a 9% chance that some part of the machine will break leading to it being temporarily broken. If neither of these things happen then the next morning there is an equal probability of it running smoothly or running but needing adjustment. • If the machine is temporarily broken in the morning then an engineer will attempt to repair the machine that day, there is an equal chance that they succeed and the machine is running smoothly by the next day or they fail and cause the machine to explode. . If the machine is running but needing adjustment there is a 20% chance that an engineer will repair it so it is running smoothly the next day and otherwise it will remain in the same state for the next day. Taking X₂ to be the state of the machine on the morning of day i for i E N we get a Markov chain which models the state of the machine. (a) Write down the transition matrix for this Markov chain.
. If the machine is running smoothly, there is 1% chance that by the next morning it will have exploded (this will destroy the machine), there is also a 9% chance that some part of the machine will break leading to it being temporarily broken. If neither of these things happen then the next morning there is an equal probability of it running smoothly or running but needing adjustment. • If the machine is temporarily broken in the morning then an engineer will attempt to repair the machine that day, there is an equal chance that they succeed and the machine is running smoothly by the next day or they fail and cause the machine to explode. . If the machine is running but needing adjustment there is a 20% chance that an engineer will repair it so it is running smoothly the next day and otherwise it will remain in the same state for the next day. Taking X₂ to be the state of the machine on the morning of day i for i E N we get a Markov chain which models the state of the machine. (a) Write down the transition matrix for this Markov chain.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:• If the machine is running smoothly, there is 1% chance that by the next morning
it will have exploded (this will destroy the machine), there is also a 9% chance
that some part of the machine will break leading to it being temporarily broken.
If neither of these things happen then the next morning there is an equal
probability of it running smoothly or running but needing adjustment.
● If the machine is temporarily broken in the morning then an engineer will
attempt to repair the machine that day, there is an equal chance that they
succeed and the machine is running smoothly by the next day or they fail and
cause the machine to explode.
● If the machine is running but needing adjustment there is a 20% chance that
an engineer will repair it so it is running smoothly the next day and otherwise
it will remain in the same state for the next day.
Taking X₂ to be the state of the machine on the morning of day i for i E N we get a
Markov chain which models the state of the machine.
(a) Write down the transition matrix for this Markov chain.
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