An electrical system consists of four components A, B, C and D as illustrated in the figure below. The probability that each component works is 0.8, 0.8, 0.5 and 0.5 respectively. Assuming each component works independently, find the probability that the system works. Give your answer to four decimal places.
Added by Jorge G.
Close
Step 1
For the subsystem with components A and B, the system works if either A or B works (or both). We can find the probability that neither A nor B works and then subtract that from 1 to find the probability that at least one of them works. The probability that Show more…
Show all steps
Your feedback will help us improve your experience
Adi S and 93 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
An electrical system consists of four components as illustrated in the figure. The system works if components A and B work or components A, C, and D work. The reliabilities (probability of working) of each component are RA = 0.90, RB = 0.80, RC = 0.85, and RD = 0.75 Find the probability that (a) the entire system works and (b) the component C does not work, given that the entire system works. Assume that the four components work independently. The figure seems like this: - B - A - - C D-
Rachel G.
An electrical system consists of four components as illustrated in the following figure. The system works if both components A and B work or both components C and D work. The reliability (probability of working) of each component is also illustrated in the figure. Find the probability that component C does not work, given that the entire system works. Assume that the four components work independently. (2 points) * 0.136 0.165 0.177 0.171
Madhur L.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD