Problem 2). A pump/filter system supplies clean fluid to a production process. The system consists of two subsystems in parallel (Si 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 1.5 per year (failure time exponentially distributed), and of each filter, 2.5 per year (exponentially distributed), when they operate. a). Draw the reliability block diagram of the pump/filter system. I b). Calculate the reliability of the system for 9 months of operation. c) Find Mean Time To Failure (MTTF) of the system. (6 points)