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The life (in years) of a certain type of electrical switch has an exponential distribution with an average lifetime of 2 years. For a single

The life (in years) of a certain type of electrical switch has an exponential distribution with an average lifetime of 2 years. For a single system, what is the probability we can keep the switching mechanism operable for 10 years if we assume we will have to replace a switch due to failures three times during the 10-year period

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