Please answer questions 3-6

Exercise 4A1: p-Chart Problems (20 Points). Below are six simple reliability analysis problems. The points awarded for each problem are stated in the problem information. You are to truncate all calculations at 4 decimal places. Circle and number each segment of the diagram for which you are performing a calculation. Then number and label the calculations in sequence below the diagram. Reliability Problems: 1. Given the diagram below, determine the system reliability if the individual component reliabilities are: A = 0.94, B = 0.92, C = 0.97, and D=0.94. (4 Points) A B D 2. In a complex manufacturing process, three operations are performed in series. Because of the nature of the process, machines frequently fall out of adjustment and must be repaired. To keep the system going, two identical machines are used at each operation; thus, if one fails, the other can be used while the first is repaired. The reliabilities of the machines in each of the three operations are 0.60, 0.75, and 0.70, respectively. (3 Points) a. Analyze the system reliability, assuming only one machine at each operation. b. How much is the reliability improved by having two machines at each operation? 3. A school is being designed with three identical building-wide fire alarm systems. The reliability of each fire alarm system is 0.995. Should the fire alarm systems be placed in series, parallel, or in a series-parallel combination? Defend your recommendation using a system reliability analysis. (3 points) 4. Given the diagram below, determine the overall service system reliability if the individual work station reliabilities are: W=0.98, X = 0.97, Y = 0.99, and Z=0.90. (4 points) W Y X Z 5. The reliabilities of the work activities in an insurance underwriting service process are: A = 0.92, B = 0.95, C = 0.93, D = 0.99, E = 0.92, F = 0.90, G=0.97, H = 0.96. The service process configuration is shown in Exhibit 6.22. What is the reliability of the total service process? (4 Points) A E F. B D G H 6. Two power generators, a main (M) and a backup (B) generator are installed in a hospital . The backup generator does not function unless the main generator fails. A power test (T) module checks to see whether power is adequate. A power conditioner (C) module ensures a smooth flow of power out of the system. The reliability modules of the system are T = 0.99, M = 0.95, B = 0.90, C = 0.96. What is the reliability of the hospital's power system? (2 Points) T M C B