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 0.90 Down Running Down Need Help? Running 1₁0.75 Down = 0.25 Submit Answer 0.20 (a) If the system is initially running, what is the probability of the system being down in the next hour of operation? #2 To (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.) Read It 0.10 0.80 X x Watch It
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 0.90 Down Running Down Need Help? Running 1₁0.75 Down = 0.25 Submit Answer 0.20 (a) If the system is initially running, what is the probability of the system being down in the next hour of operation? #2 To (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.) Read It 0.10 0.80 X x Watch It
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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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 0.90
Down
Running Down
Need Help?
Submit Answer
To
0.20
(a) If the system is initially running, what is the probability of the system being down in the next hour of operation?
Read It
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 ₁0.75
Down
*2= 0.25
0.80
X
X
Watch It
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