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434概率中等数值题medium

Second Failure in a Memoryless Component Array

题目

A system has 4 independent components, each with lifetime Exp(2)\operatorname{Exp}(2). When a component fails, it is removed and the remaining components continue operating. By memorylessness, surviving components' residual lifetimes are still Exp(2)\operatorname{Exp}(2). Find the expected time until the second component fails.

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