Question

Consider the system in the following figure, consisting of unreliable components 1 to 7. The system works if there is a path from left to right through working components. Components 4 and 5 are type A devices. Components 1, 6, and 7 are type B devices. Components 2 and 3 are type C devices. You may assume the components fail independently. 2 1 3 4 6 7 5 A B C (a) Determine the structure function of this system. (b) Suppose type A devices have Exp($\theta$) lifetime and type C devices have N($\mu$, $\sigma^2$) lifetime. What is the expected lifetime of these devices? (c) What is the probability that the system is working at time $t$?

          Consider the system in the following figure, consisting of unreliable components 1 to 7. The system works if there is a path from left to right through working components. Components 4 and 5 are type A devices. Components 1, 6, and 7 are type B devices. Components 2 and 3 are type C devices. You may assume the components fail independently.
2
1
3
4
6
7
5
A
B
C
(a) Determine the structure function of this system.
(b) Suppose type A devices have Exp($\theta$) lifetime and type C devices have N($\mu$, $\sigma^2$) lifetime. What is the expected lifetime of these devices?
(c) What is the probability that the system is working at time $t$?

Consider the system in the following figure, consisting of unreliable components 1 to 7. The system works if there is a path from left to right through working components. Components 4 and 5 are type A devices. Components 1, 6, and 7 are type B devices. Components 2 and 3 are type C devices. You may assume the components fail independently.
2
1
3
4
6
7
5
A
B
C
(a) Determine the structure function of this system.
(b) Suppose type A devices have Exp(θ) lifetime and type C devices have N(μ, σ^2) lifetime. What is the expected lifetime of these devices?
(c) What is the probability that the system is working at time t?

Added by Rosa B.

Question

Please give Ace some feedback