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CRE · Question #14

CRE Question #14: Real Exam Question with Answer & Explanation

The correct answer is D. Ra Rc [1 - (1 - Rd) (1 - Re)] + (1 - Ra) Rb Rc [1 - (1 - Rd) (1 - Re)]. See the full explanation below for the reasoning.

Question

The following reliability block diagram shows components A, B, C, D and E with reliability Ra, Rb, Rc, Rd and Re, respectively. A or B are system entry points. On the basis of this information, what is the reliability of the system?

Options

  • A[1 - (1 - Ra Rb)] Rc [1 - (1 - Rd Re)]
  • BRa Rc [1 - (1 - Rd Re)] + (1 - Ra) Rb Rc [1 - (1 - Rd) (1 - Re)]
  • CRa Rb [1 - (1 - Rd) (1 - Re)] Rc (1 - Ra) Rb [1 - (1 - Rd) (1 - Re)]
  • DRa Rc [1 - (1 - Rd) (1 - Re)] + (1 - Ra) Rb Rc [1 - (1 - Rd) (1 - Re)]

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