The influence of the number of elements (and thus complexity of the system) can be illustrated on several systems where all components have the same probability of failure F1 = 0.02; the corresponding reliability R1 = 0.98. What will be the reliability of a system composed of: (a) 2 components (b) 10 components (c) 50 components (d) 200 components
Added by Nicholas K.
Step 1
We are given the probability of failure \( F_1 = 0.02 \) for each component, and the corresponding reliability \( R_1 = 0.98 \). We need to find the reliability of systems composed of different numbers of components. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Madhur L and 81 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
A system requires two components, A and B, to both work before the system will. Because of the sensitivity of the system, an increased reliability is needed. To obtain this reliability, two duplicate components are to be used. That is, the system will have components A1, A2, B1, and B2. An engineer designs the two systems illustrated in the diagram. Assuming independent failure probabilities of 0.01 for each component, compute the probability of failure of each arrangement. Which one gives the more reliable system?
Adi S.
A system consists of two components (A and B). The system will operate properly only if both components work properly. When the system is activated the probability that component A will fail is 0.10, the probability that component B will fail is 0.08, and the probability that both components will fail is 0.008. Calculate the probability that the system, when activated, will work properly.
Robin C.
A system contains two components, A and B. Both components must function for the system to work. The probability that component A fails is 0.08, and the probability that component B fails is 0.05. Assume the two components function independently. What is the probability that the system functions?
Sri K.
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