In: Statistics and Probability
1) A machine contains 5 components that all need to be functional in order for the equipment to operate. The reliability of the components is .99, .98, .99, .999, and .96, what is the resulting system reliability?
2) If the second and fourth components had redundant components with the same reliabilities what would be the system reliability?
Answer:-
Given That:-
1) A machine contains 5 components that all need to be functional in order for the equipment to operate. The reliability of the components is .99, .98, .99, .999, and .96, what is the resulting system reliability?
reliability formula:

Rsystem 

Rsystem =0.921156
2) If the second and fourth components had redundant components with the same reliabilities what would be the system reliability?
if the component has redundant component with each having reliability R
Rcomponent 
2nd and 4th reliability:


Rsystem


Rsystem