Risk assessment of a pipeline is under study. Instrumentation and Process Control (I & PC) is being used to control the temperature in the pipeline. The study results in the fault tree shown in Figure 1. The top event is "high temperature in the pipeline". Probabilities of primary events of fault tree are listed in Table 2. (You need to develop probability values in this table yourself based on your student number)

High tempertaure in pipeline Emergency valve No signals from failed to close tempertaure transmitter EV2 EV3 Failure of TT(A) Failure of TT(B) Failure of TT(C) TT2 TT3 TTI TT2 TTI TT3 Figure 1. Risk assessment of the pipeline a) Find the most important minimal cut set using the importance measure method. Also, draw the fault tree consisting of minimal cut sets. (10 points)Additional information for the number of simulations: Add 100 in the last two digits of your student number and the answer is the number of simulations you will perform in MS Excel. For example, if a student number is 202072002, he/she will perform 02 + 100 = 102 simulations in MS Excel. 7. Risk assessment of a pipeline is under study. Instrumentation and Process Control (I & PC) is being used to control the temperature in the pipeline. The study results in the fault tree shown in Figure 1. The top event is "high temperature in the pipeline". Probabilities of primary events of fault tree are listed in Table 2. (You need to develop probability values in this table yourself based on your student number with Memorial University). Table 2: Probabilities of primary events Notation Components Probability values LI Failure of logic solver Read instructions below* EV2 Emergency valve 2 failed to close Add 2.00x 10-2 in L1 probability value EV3 Emergency valve 3 failed to close Add 3.21x104 in EV2 probability value TTI Failure of temperature transmitter (TT) Add 1.00x 10-5 in EV3 probability 1 to transmit signals value TT2 Failure of temperature transmitter (TT) Add 5.39x10-3 in TT1 probability 2 to transmit signals value TT3 Failure of temperature transmitter (TT) Add 1.21x10-2 in TT2 probability 3 to transmit signals value *Instructions for finding probability value of L1: Divide the last three digits of your student number by 10,000 and add 0.002, the answer is your probability for LI. For example, if your student number is 201872002 then LI value will be 2.2x10-3 (002/10,000 + 0.002 = 2.00x10-3)