Consider an electrical circuit consisting of two sub circuits, the first of which involves components A, B, and C in parallel and the second of which involves components D and E in parallel. Suppose that the individual reliabilities of the components are given by p_A = .95, p_B = .95, p_C = .90, p_D = .90 and p_E = .98.

a. Find the reliability of the system if the two sub circuits are connected in series.

b. Find the reliability of the system if the two sub circuits are connected in parallel.