which often increase the failure rate.

Assuming a constant failure rate implies that has an exponential distribution with parameter . Since the MTBF is the expected value of , it is given by the reciprocal of the failure rate of the system,
: .

Once the MTBF of a system is known, and assuming a constant failure rate, the probability that any one particular system will be operational for a given duration can be inferred from the reliability function

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