Question: A system has two components, Component 1 and Component 2, with reliabilities of 0.6 and 0.8 respectively. In order for the system to work, both

A system has two components, Component 1 and Component 2, with reliabilities of 0.6 and 0.8 respectively. In order for the system to work, both components have to work. However, Component 1 is connected to a backup component, Component 3, with a reliability of 0.82. In order to activate the backup unit when Component 1 fails, a switch needs to work to detect Component 1's failure. The switch has a reliability of 0.94.

What is the reliability of the whole system? (three decimal place)

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