3. Consider the water cooling system schematically depicted in Figre 1. The syst

Question

3. Consider the water cooling system schematically depicted in Figre 1. The system has four unreliable components: two identical pumps (Pl and P2) and two valves (V1 and V2). The system works if, in the diagram, there is a path from left to right traversing only working components P1HV P2 Figure I: The system works if there is a path from left to right with working components We assume that the pumps and valves fail independently of each other and that the reliabilityprobability that it works) for each pump is 0.9 and for each valve is 0.8 Calculate the reliability of the system.

Explanation / Answer

3. Consider the water cooling system schematically depicted in Figre 1. The system has four unreliable components: two identical pumps (Pl and P2) and two valves (V1 and V2). The system works if, in the diagram, there is a path from left to right traversing only working components P1HV P2 Figure I: The system works if there is a path from left to right with working components We assume that the pumps and valves fail independently of each other and that the reliabilityprobability that it works) for each pump is 0.9 and for each valve is 0.8 Calculate the reliability of the system.

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