Asked by Riley Lennon on Jul 06, 2024
Verified
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) equal to exactly 0.966.
Backup
Backup refers to the process of copying and archiving computer data so it may be used to restore the original after a data loss event.
System Reliability
The probability that a system will perform its intended function adequately for a specified period under the given conditions.
- Comprehend the process of calculating system reliability by analyzing component reliability and the overall system layout.
Verified Answer
VS
Valencia SimoneJul 07, 2024
Final Answer :
D
Explanation :
Since all three components are required for the system to function, we can use the multiplication rule of probability to find the reliability of the system if there are no backups:
Reliability(system) = Reliability(A) x Reliability(B) x Reliability(C) = 0.966^3 = 0.904
If a backup is installed for component A, the new reliability of A is 0.992 (assuming the backup has perfect reliability), so the new reliability of the system would be:
Reliability(new system) = Reliability(A backup) x Reliability(B) x Reliability(C) = 0.992 x 0.966^2 = 0.931
Therefore, the new system reliability would be greater than 0.966, which is answer choice D.
Reliability(system) = Reliability(A) x Reliability(B) x Reliability(C) = 0.966^3 = 0.904
If a backup is installed for component A, the new reliability of A is 0.992 (assuming the backup has perfect reliability), so the new reliability of the system would be:
Reliability(new system) = Reliability(A backup) x Reliability(B) x Reliability(C) = 0.992 x 0.966^2 = 0.931
Therefore, the new system reliability would be greater than 0.966, which is answer choice D.
Learning Objectives
- Comprehend the process of calculating system reliability by analyzing component reliability and the overall system layout.