ASQ
CRE · Question #53
Which answer mathematically expresses the reliability of an active parallel system in which all component reliabilities are unequal?
The correct answer is A. Rs = RaRbRc - (RaRb + RbRc + RaRc) + (Ra + Rb + Rc). See the full explanation below for the reasoning.
System Reliability
Question
Which answer mathematically expresses the reliability of an active parallel system in which all component reliabilities are unequal?
Options
- ARs = RaRbRc - (RaRb + RbRc + RaRc) + (Ra + Rb + Rc)
- BRs = [RaRbRc] / [Ra + Rb + Rc]
- CRs = Ra + Rb + Rc - RaRbRc
- DRs = [RaRbRc + RaRb + RbRc + RaRc ] / [Ra + Rb + Rc]
How the community answered
(41 responses)- A73% (30)
- B15% (6)
- C7% (3)
- D5% (2)
Topics
#parallel system reliability#redundancy math#inclusion-exclusion principle#system reliability formula
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