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. From Running Down Running 0.90 To 0.20 Down 0.10 0.80 (a) If the system is initially running, what is the probability of the system being down in the next hour of operation? (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 t₁ = Down #₂ =
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. From Running Down Running 0.90 To 0.20 Down 0.10 0.80 (a) If the system is initially running, what is the probability of the system being down in the next hour of operation? (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 t₁ = Down #₂ =
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Transcribed Image Text: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.
From
Running
Running 0.90
Down
To
0.20
Down
0.10
0.80
(a) If the system is initially running, what is the probability of the system being down in the next hour of operation?
(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
Down
#2
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