Question: 6.1 Consider a machine that is subject to failure and repair. The time to repair the machine when it breaks down is exponentially distributed with

6.1 Consider a machine that is subject to failure and repair. The time to repair the machine when it breaks down is exponentially distributed with mean 1=μ. The time the machine runs before breaking down is also exponentially distributed with mean 1=λ. When repaired, the machine is considered to be as good as new. The repair time and the running time are assumed to be independent. If the machine is in good condition at time 0, what is the expected number of failures up to time t?

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