Question: The email server at Rockbottom University has been experiencing downtime. Let us assume that the trials of an associated Markov process are defined as one-hour

The email server at Rockbottom University has been experiencing 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:

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 downstate?

To From Running Down Running 0.90 0.30 Down 0.10 0.70

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