A system is composed of three components. Two of the components are in parallel reliabilities of...
A system is composed of three components. Two of the components are in parallel reliabilities of 0.98 and 0.99. The third component has a reliability if 0.97 and is in series with the first combination. What is the overall system reliability?
a) 0.945
b) 0.873
c) 0.696
d) 0.949
e) none of the above
Homework Answers
none of the above (E)
[ explanation:-
the system reliability for components are in parallel reliabilities of \(0.98\) and \(0.99\) is :-
\(=1-[(1-0.98) *(1-0.99)]\)
\(=0.9998\)
the overall system reliability is :-
\(=(0.9998 * 0.97)_{\text {[as the } 0.97 \text { component is connected in series }]}\)
\(=0.969806\)
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