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A Switching Power Supply (SPS) consists of two switches: A and B. The SPS needs both switches to operate. As soon as one switch breaks,

A Switching Power Supply (SPS) consists of two switches: A and B. The SPS needs both switches to operate. As soon as one switch breaks, the SPS fails.The two switches are independent.The time until switch A breaks is an exponential with rate A= 0.5 per year. The time until switch B breaks is an exponential with rate B= 0.3 per year.Compute the expected time (in years) until the machine fails.

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