In: Statistics and Probability
3. Consider the following system made up of functional components in parallel and series.
C2 0.80 |
C1 0.95 |
C3 0.95 |
C4 0.80 |
3-1. (2 points) What is the probability that the system operates? Answer: .
3-2. (2 points) What is the probability that the system fails due to the components in series? Assume parallel components do not fail. Answer: .
3-3. (2 points) What is the probability that the system fails due to the components in parallel? Assume series components do not fail. Answer: .
3-4. (2 points) Compute and compare the probabilities that the system fails when the probability that component C1 functions is improved to a value of 0.99 and when the probability that component C3 functions is improved to a value of 0.99. Which improvement increases the system reliability more?