Question: We consider an air conditioning compressor. We know that it operates for an average time of 20min each hour. While operating, we have recorded a

We consider an air conditioning compressor. We know that it operates for an average time of 20min each hour. While operating, we have recorded a failure rate of 0.01 failures per operating hour; while idle, we have recorded a dormant failure rate of 0.002failures per idle hour. Also, the probability that the compressor fails on demand is 0.04.

a. What is the reliability of the compressor in a day long operation, if the compressor starts once per hour?

b. What is the reliability of the compressor in a day long operation, if the compressor pattern in the hour is [5min operation/10min idle]x4times ?

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