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The computer center at Rockbottom University has been experiencing computer down

ID: 3231670 • Letter: T

Question

The computer center at Rockbottom University has been experiencing computer downtime. Let The 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: 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?

Explanation / Answer

SOlution:-

a) The probability of the system being down in the next hour of operation is 0.10.

The probability of system being down when intially running = 0.10

b) The steady state probabilities of the system being in the running state and in the down state is

The probability of steady state of running = 0.90

The probability of steady state of down = 0.70

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