Question: A machine consisting of two components will fail if, and only if, both of the components fail. The rst component has a lifetime, which is

A machine consisting of two components will fail if, and only

A machine consisting of two components will fail if, and only if, both of the components fail. The rst component has a lifetime, which is exponentially distributed with hazard rate of 4, and the second component has a lifetime, which is exponentially distributed with hazard rate of 3. The lifetimes of the two components are independent. Let T be the time until the machine fails. Find the variance of T. Possible Answers

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