1. Three months ago, you started working in this manufacturing plant. One assembly, which requires a reliability of 0.95, is normally purchased from a local supplier. You have decided to produce this part-in house to increase workers' pride. The part, now being assembled in-house, is made up from three com- ponents that each boasts a reliability of 0.96.

(a) Customer complaints have risen in the three months since the change was made. Can you explain why?

(b) What level of component reliability is necessary to restore the product to its former level of qual- ity?

(c) You can't increase the reliability of the individual components; however, you can add a backup with a reliability of 0.90 to each component. How many backups will you need to achieve 0.95 reliability for the assembly?