Question: Device 2 = .9975 Device 3 = .85 What is the reliability of device 4? What is the likelihood that these safety devices (working together)

Device 2 = .9975 Device 3 = .85 What is the

Device 2 = .9975

Device 3 = .85

What is the reliability of device 4?

What is the likelihood that these safety devices (working together) will prevent another disaster?

Assume that the BP rig in the Gulf of Mexico has four major safety devices all connected in a series. The corresponding reliabilities of these four devices are: \begin{tabular}{|l|l|} \hline Device 1: & 0.85 \\ \hline Device 2: & 0.95 \\ \hline Device 3: & 0.80 \\ \hline Device 4: & 0.80 \\ \hline \end{tabular} Device 2 has a single backup system with identical reliability. Device 3 has a single backup system which has two subcomponents (each with reliability of .50) that are connected in a series. Device 4 is backed up by two backup systems (each with reliability of .75). What is the likelihood that these safety devices (working together) will prevent another disaster? Please show all calculations

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