Question: For the system described in Problem, develop a fault tree model and evaluate the minimal cut set for N = 20, n = 10, and p = .9. Determine the reliability of the system.
Problem: A system consists of N identical components, with each component having a reliability of p. The failure of the system is defined as the failure of any n out of N components. The failure events of the components can be assumed to be independent. Compute the reliability of the system as functions of p and n for N = 20. Plot system reliability as functions of p and n for the ranges of p = [0.9, 0.99, 0.999] and n = [1, 3, 5, 10].