Consider a simple airplane system with the following components: 3 Processors: P1, P2, P3 2 Buses: C, C2 Engine: E - Motor: M - Electrical: EL - Cooling: EC Navigator: N - Type I: I - Type II: Aviator: A Compass: K The following figure shows the fault tree diagram of airplane system. F OR N E OR T MELEC C1 C2 P1 (P2) (P3 OR . (a) Develop the success tree of the simple airplane system. (10 pts) (b) Determine the minimal cut set using any approach discussed during the lectures. (10 pts) c) Determine the unavailability of the total system (Qs(t)) using the following data (25 pts): P(P1)= P(P2) = P(P3)= 0.1; P(C1)= P(C)= 0.25; P(M)= 0.02; P(EL)= 0.04; P(EC)= 0.09; P(1) = 0.2; P(A)= 0.08; and P(K)= 0.07. Consider a simple airplane system with the following components: 3 Processors: P1, P2, P3 2 Buses: C, C2 Engine: E - Motor: M - Electrical: EL - Cooling: EC Navigator: N - Type I: I - Type II: Aviator: A Compass: K The following figure shows the fault tree diagram of airplane system. F OR N E OR T MELEC C1 C2 P1 (P2) (P3 OR . (a) Develop the success tree of the simple airplane system. (10 pts) (b) Determine the minimal cut set using any approach discussed during the lectures. (10 pts) c) Determine the unavailability of the total system (Qs(t)) using the following data (25 pts): P(P1)= P(P2) = P(P3)= 0.1; P(C1)= P(C)= 0.25; P(M)= 0.02; P(EL)= 0.04; P(EC)= 0.09; P(1) = 0.2; P(A)= 0.08; and P(K)= 0.07