A system is composed of three components A,B,and C.All three must function for the system to function.There are currently no backups in place.The system has a reliability of 0.966.If a backup is installed for component A,the new system reliability will be:
A)unchanged.
B)less than 0.966.
C)greater than it would be if a backup were also installed for component B.
D)greater than 0.966
E)none of the above

Question

Quizplus · Accepted Answer

Installing a backup for component A will increase the reliability of the system since there will be a backup in case A fails. Therefore, the new system reliability will be greater than 0.966. There is no information given about the effect of installing a backup for component B, so it cannot be determined whether the system reliability will be greater or less than it would be with a backup for A only. Therefore, options C and E can be eliminated. Finally, since the system reliability is currently 0.966 and installing a backup for component A will improve the reliability, it is clear that the new system reliability will be greater than the current reliability. Therefore, option D is the best choice.

A System Is Composed of Three Components A,B,and C