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

An electrical system consists of 2 components (C1 and C2) functioning independently and are set in a parallel layout. The failure time of each component follows an exponential distribution with rate 2 every year. Identify the failure density and failure distribution of any component. Hence, calculate the probability of any component i) failing in less than 8 months. ii) surviving after 10 months.

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