Part 1(c). Draw a sample network diagram for Parallel-Series and Series-Parallel system. (In a Parallel-Series system, components are connected in identical parallel rows where each row has components in series. In a Series-Parallel system, there are identical parallel subsystems connected in series.). Suppose you have nine components with equal reliability. Design a three by three Parallel-Series and a three by three Series-Parallel system. Which system will have an overall higher reliability? Show the calculation work. Problem 2). A pump/filter system supplies clean fluid to a production process. The system consists of two subsystems in parallel (S1 and S2), to increase reliability. Each subsystem consists of one pump and a filtering element in series. Si has one filter as the filtering element. The filtering element of S2 has two filters in parallel. Failure rate of each pump is 1 per year (failure time exponentially distributed), and of each filter, 2 per year (exponentially distributed), when they operate. a). Draw the reliability block diagram of the pump/filter system. b). Calculate the reliability of the system for 6 months of operation. c) Find MTTF of the system for the result from part (b). Part 1(c). Draw a sample network diagram for Parallel-Series and Series-Parallel system. (In a Parallel-Series system, components are connected in identical parallel rows where each row has components in series. In a Series-Parallel system, there are identical parallel subsystems connected in series.). Suppose you have nine components with equal reliability. Design a three by three Parallel-Series and a three by three Series-Parallel system. Which system will have an overall higher reliability? Show the calculation work. Problem 2). A pump/filter system supplies clean fluid to a production process. The system consists of two subsystems in parallel (S1 and S2), to increase reliability. Each subsystem consists of one pump and a filtering element in series. Si has one filter as the filtering element. The filtering element of S2 has two filters in parallel. Failure rate of each pump is 1 per year (failure time exponentially distributed), and of each filter, 2 per year (exponentially distributed), when they operate. a). Draw the reliability block diagram of the pump/filter system. b). Calculate the reliability of the system for 6 months of operation. c) Find MTTF of the system for the result from part (b)