A system has four sub-systems, A, B, C and D that are connected in series. Sub-s

Question

A system has four sub-systems, A, B, C and D that are connected in series. Sub-system A has three components in parallel connection with reliability values of 0.975, 0.935, and 0.855. Sub-system B has two components in series connection with reliability values of 0.795 and 0.865. Sub-system C has a single component with reliability value of 0.975. Sub-system D has 4 components in parallel connection with reliability values of 0.955, 0.750, 0.989, and 0.985. What is ultimate system reliability? Select one or more. a. 0.6875 b. 0.6695 c. 0.999 d. 0.9750

Explanation / Answer

system A ;s relaibility =1-(1-0.975)*(1-0.935)*(1-0.885)=0.999813

system B's relaibilty =0.795*0.865=0.687675

system C's relaibility =0.975

system D's relaibility =1-(1-0.955)*(1-0.750)*(1-0.989)*(1-0.985)=0.999998

hence overall relaibilty =0.999813*0.687675*0.975*0.999962=0.6695

hence option B is correct

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