Question

A system consists of six independent components arranged as follows:

• Two components with reliabilities 0.9 and 0.8 connected in series.

• This series combination is connected in parallel with a component of reliability 0.7.

• The resulting subsystem is connected in series with two components of reliabilities 0.85 and 0.95.

Draw the reliability block diagram and calculate the overall reliability of the system.

19 Jan 2026
Answer :
Word Count : 220
First, let's understand the system structure step by step: 1. Series combination of first two components: * Component A: ( R_A = 0.9 ) * Component B: ( R_B = 0.8 ) * Series reliability: ( R_{series1} = R_A \times R_B = 0.9 \times 0.8 = 0.72 ) 2. Parallel with
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