QUESTION 9 Suppose a pressure vessel in a manufacturing facility has four main components that keep it from exploding when its operating under pressure. The pressure sensor triggers the pressure regulator to automatically reduce pressure. If the pressure sensor OR regulator fail, then an overpressure relief valve (primary) automatically expels excessive pressure. There's a backup overpressure relief valve in case the primary overpressure relief valve fails. In essence, in order for an overpressure explosion to occur, either the pressure sensor OR pressure regulator must fail (they work together to relieve pressure), AND then both the primary AND backup overpressure valves must fail. Below are the failure rates (probabilities) for each of the four components. Component Failure Rate/ Probability Over Pressure Relief Valve 0.005 Over Pressure Backup Relief Valve 0.05 Pressure Sensor 0.001 Pressure Regulator 0.002 Which of the following represents the proper setup to calculate the probability of an explosion occurring because the overpressure protection components mentioned above fail? C A (0.001 x 0.002) + (0.005 X . 0.05) B (0.001 x 0.002) + 0.005 + 0.05 ( (0.001 + 0.002) X 0.005 X 0.05 C D (0.001 X 0.002) X 0.005 X 0.05