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1. The following natural gas distribution network contains five shut-off valves configured as shown. Valves 1-4 have a probability of 0.012 of failing open and

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1. The following natural gas distribution network contains five shut-off valves configured as shown. Valves 1-4 have a probability of 0.012 of failing open and a probability of 0.15 of failing short. Valve 5 has a probability of 0.05 of failing open and a probability of 0.20 of failing short. Find the system reliability. 3 5 2 4

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