Three independent series components have reliabilities 0.98, 0.95, and 0.99. System reliability is most nearly:
- (A)0.23
- (B)0.461
- (C)0.691
- (D)0.922
Show worked solution
Answer: (D)
Series reliability is 0.922.
The system structure, reliability, or life-cycle relation defines the result.
Substitution and unit reduction give the reported value.
FE Reference Handbook — Reliability: Series Systems
Why the other choices appear
- (A)This introduces an extra factor of 0.25 that is not present in the governing relation.
- (B)This value is 50% below the verified result; no stated conversion creates that change.
- (C)The units are retained, but an unsupported 0.75 multiplier changes the requested magnitude.