Compute and compare the probabilities that the system fails when the probability

Question

Compute and compare the probabilities that the system fails when the probability that component C4 functions is improved to a value of 0.93 and when the probability that component C3 functions is improved to a value of 0.98. Which improvement increases the system reliability more?

6. (2 points) Consider the following system made up of functional components in parallel and series. 0.85 CA. C1 0.95 0.90 C3 0.95 Compute and compare the probabilities that the system fails when the probability that component C4 functions is improved to a value of 0.93 and when the probability that component C3 functions is improved to a value of 0.98. Which improvement increases the system reliability more? Answer

Explanation / Answer

The system is reliable when both C1 and C4 is working along with at least of one C2 and C3

Reliability of system = 0.95 x (1-0.15x0.05) x 0.9

= 0.95 x 0.9925 x 0.9 = 0.8486

Reliability of system when reliability of C4 is increased to 0.93 = 0.95x0.9925x0.93 = 0.8767

Increase in reliability = 0.8767-0.8486 = 0.0283

Reliabilityof system when C3 is improved to 0.98

= 0.95 x (1- 0.15x0.02) x 0.9 = 0.8524

Increase in reliability = 0.8524-0.8486 = 0.0038

So, the reliability increases more when C4 is improved to 0.93

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.