Q: Suppose the time to failure (in years) for a particular component is distributed as an exponential random variable with rate 1 = 1/5. For better performance, the system has two components installed, and the system will Iwork as long as either components installed, and the system will work as long as either component is functional. Assume the time to failure for the two components is independent. What is the probability that the system will fail before 10 years has passed?

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A: Image is attached with detailed solution.

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