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2. A product Y is to be fed into a storage tank as shown in FIGURE Q2. The storage tank is equipped with high-level control

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2. A product Y is to be fed into a storage tank as shown in FIGURE Q2. The storage tank is equipped with high-level control system, which involves flow control valve (FCV), level indicating controller (LIC) and level indicating transmitter (LIT), in order to prevent excessive feed of product Y which will eventually cause overflow of the storage tank. TABLE Q2 shows the failures/demand data for the safety functions. (LIC) LIT Product Y in Storage tank FCV Valve Pump FIGURE Q2: Level control system TABLE Q2: Failures/demand data Safety Function Failures/demand Operator turns off the pump 0.39 Operator notices high level 0.15 High-level control system 0.06 Operator shuts off the valve 0.29 Develop an event tree of this system using "excessive feed of product y" as the initiating event. From the historical data, it is found that the frequency for excessive feed of product Y is 21 occurrence per year. Estimate the numbers of overflow of the storage tank per year. [50 marks)

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