Q8. A copy machine is always in one of the two states, either working or broken (not working). If it is working, there is 70% chance that it will be working tomorrow. If it is broken there is a 50% chance it will be broken tomorrow. Assume that one day is a natural time step. (a) Draw a state diagram, and write the transition matrix. (b) Assume that the machine is working today, what is the probability that it will be working tomorrow?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Q8. A copy machine is always in one of the two states, either working or broken (not
working). If it is working, there is 70% chance that it will be working tomorrow. If it is
broken there is a 50% chance it will be broken tomorrow. Assume that one day is a
natural time step.
(a) Draw a state diagram, and write the transition matrix.
(b) Assume that the machine is working today, what is the probability that it will be
working tomorrow?
Transcribed Image Text:Q8. A copy machine is always in one of the two states, either working or broken (not working). If it is working, there is 70% chance that it will be working tomorrow. If it is broken there is a 50% chance it will be broken tomorrow. Assume that one day is a natural time step. (a) Draw a state diagram, and write the transition matrix. (b) Assume that the machine is working today, what is the probability that it will be working tomorrow?
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