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 a third component: * __________ ___ ____ _______ _____ ______ _______ ________ ______.
____ ________ _______ ___ __________ _______ ____ ______ _______ _________ _____ __________.
______ ___ ___ _______ ______ _________ ________ _______ ______ _______ _________ _________.
_____ _________ ________ _________ ______ _____ _______ ______ ___ ____ ______ __________.
______ ______ _________ ______ ____.
___ ________ ________ ____ _________ ____ __________ _______ ____ ______ _______.
_______ _________ _______ __________ ________ _________ ____.
_____ __________ ___ ________ ____.
_________ ________ _________ _________ __________ ______ ___ ____ __________.
_______ ___ ____ ____ _________ ________ ___ _______ ___ _________.
____ _______ ________ _______ _______ _______ _______.
______ __________ ___ ______ _______ __________ ______ _____.
____ _______ ________ ___ __________ ___ ___ _________ _________ _______ ______ _______.
____ __________ ____ ___ ______ __________ ___.
______ ________ ____ ___ _________ ____ _________ _____ ______ ___ ______ ______.
_______ ____ ___ ______ ________.
______ ___ ______ ____ ________ ________ _____ ____ ______ _______ ___ ___.
__________ ________ _______ _______ ________ _________ _____ ___ __________ _________.
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