A system consists of N components of types 1 and 2: N1 is the number of components

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A system consists of N components of types 1 and 2: N1 is the number of components of type 1, N2 is the number of components of type 2, and N = N1 + N2. The components have a reliability each of p1 and p2, respectively. The failure of the system is defined as the failure of any n1 out of N1 components of type 1, and any n2 out of N2 components of type 2. The failure events of the components can be assumed to be independent. Compute the reliability of the system as functions of p1, n1, p2, n2, N1 = 10, and N2 = 20. Plot system reliability as functions of p1, n1, p2, and n2 for the ranges of p1 = p2 =

[0.9, 0.99, 0.999], and n1 = n2 = [1, 2, 3].

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