A small company has two identical PCs that are running at the same time. The time until
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A small company has two identical PCs that are running at the same time.
The time until either PC fails is exponentially distributed with a mean of 1/λ. When a PC fails, a technician starts repairing it immediately. The two PCs fail independently of each other. The time to repair a failed PC is exponentially distributed with a mean of 1/μ. As soon as the repair is completed, the PC is brought back online and is assumed to be as good as new.
a. Give the state-transition-rate diagram of the process.
b. What is the fraction of time that both machines are down?
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