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In: Statistics and Probability

An electrical system consist of 2 components (C1 and C2) functioning independently, and are set in...

An electrical system consist of 2 components (C1 and C2) functioning independently, and
are set in a series layout. The failure time of each component follows an exponential
distribution with rate 2 in every year.Suppose the system will operate if both components function, and it
will fail if any one component fails. calculate
i) the probability that the system fails in less than 8 months.
ii) the expected time to failure of the system.

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