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What is the probability that the system will crash

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Reference no: EM132523157

1) Assume that power surges occur as a Poisson process with rate 3 per hour. These events cause damage to a certain system; thus, a special protecting unit has been designed. That unit now has to be removed from the system for 10 minutes for service.

a. Assume that a single event occurring in the service period will cause the system to crash. What is the probability that the system will crash?

b. Assume that the system will survive a single event, but two events occurring in the service period will cause it to crash. What is now the probability that the system will crash?

c. Solve (b) assuming that the protective unit will be out of the system for time which is exponentially distributed with expectation 10 minutes.

Reference no: EM132523157

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