Problem 3: Reliability (15 points) Suppose that you have the following system with Stations 1, 2, and 3, and following reliabilities: R1 = .95 R2 = .75 R3 = .85 Note, this is the same setup as Problem 2. But try these changes. Assume for all answers that all three stations must work in order for the entire system to work. Also assume that there is no carryover from one special case to another, answer a) separately from b) separately from c). a) What is the reliability of the system if the system itself has to work twice in a row? b) If I add a backup station of .5 to R3, what is the reliability of the system? c) If I add a new station, Station 4, that has a reliability of.9, what is the reliability of the system