Homework Soursea For the fallowing network derive an expression for the sys
a) For the fallowing network derive an expression for the system reliability in terms of the component reliabilities R
b) Compute the system reliability if R=0.9
RHSolution
Probability that system works = R*(probability upper and lower branch work)=R*(1-probability both dont work)=R*(1-probability upper doesnt work*probability lower doesnt work) = R*(1-(1-R*(2R-R^2)*R)*(1-R*R*R)) = ^8 - 2R^7 - R^5 +3R^4
2)for R=0.9 the reliability is 0.85
