Problem 1: Find the reliability of the system whose block diagram is shown below if R(1) = R(2) =R(3) = R(4) = R(5) = 0.9 and R(6) = R(7) =R(8) = R(9) = 0.8. Use the decomposition approach.
Problem 2:
A system has 5 components. The system will run successfully if any 3of them are functioning. Find the reliability of the system if the mission time is 8 hours. The life distribution of each component is given in the table.
|
Component
|
Life density function
|
|
1
|
N(10, 2)
|
|
2
|
Exp, mean=10
|
|
3
|
U(0,10)
|
|
4
|
N(7, 3)
|
|
5
|
Exp, mean = 12.5
|