Section B Answer all questions in this section. Please clearly show all workings and assumptions. Total 30 marks 1. Suppose that there is a 0.001 probability that a light bulb will fail in one hour. What is the probability that the light bulb will survive: [ 6 marks] a. 2 hours b. 3 hours 1000 hours c. 2. Determine the failure rate for a 80-hour test of 10 items where 2 items fail at 40 and 70 hours, respectively. What is the mean life of the product? [ 4 marks] 3. A copier machine has a mean time between failures of 475 operating hours. Repairs typically require an average of 25 hours from the time that the repair call is received until service is completed. Determine the availability of the copier. [ 5 marks] 4. A module of a satellite monitoring system has 500 components in series. The reliability of each component is 0.999. Find the reliability of the module. If the number of components is reduced to 200, what is the reliability? [ 5 marks] 5. Find the reliability of a system with three components, A, B, and C in parallel. The reliabilities of A, B, and C are 0.95, 0.92, and 0.90, respectively. [ 4 marks) 6. Find the reliability of the following system in figure 2.1 below. [ 6 marks] 0.89 0.99 0.98 0.95 0.89 0.95 Figure 2.1