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ASQ

CRE · Question #262

Three identical subsystem are connected in an active parallel, non-load-sharing system. At least two of the tree must work in order for the system to work. The time to failure for each subsystem is…

The correct answer is A. 3 e - 2 t - 2e - 3 t. See the full explanation below for the reasoning.

System Reliability

Question

Three identical subsystem are connected in an active parallel, non-load-sharing system. At least two of the tree must work in order for the system to work. The time to failure for each subsystem is exponential with a common failure rate, . The reliability of the system can be expressed as which of the following?

Options

  • A3 e - 2 t - 2e - 3 t
  • B3 e - 3 t - 2e - 2 t
  • C1 -2 e - 3 t - 3e - 2 t
  • D1 -3 e - 2 t + 2e - 2 t

How the community answered

(32 responses)
  • A
    72% (23)
  • B
    6% (2)
  • C
    3% (1)
  • D
    19% (6)

Topics

#parallel redundancy#k-of-n system#exponential distribution#system reliability

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