System and Component Probability Calculations

In summary, the numbers in the conversation represent the probability of each component working. The first question asks for the probability of the entire system working, which is P=.75112. The second question, which cannot be answered based on the given information, is asking for the probability of component 1 not working given that the system is working. However, since component A is not included in the diagram, this question cannot be answered.
  • #1
kasse
384
1
2ciedye.jpg


The numbers represent the probability that each component works.

a) What's the probability that the entire system works?
b) Given that the system works, what's the probability that the component A is not working?


a) P=.75112, easy
b) Don't know what to do here...
 
Physics news on Phys.org
  • #2
Since there is no component A in the diagram, I'd say you can't answer the second question.
If you were asking this: Given the system works, what is the probability [tex] 1 [/tex]
is not working, think this way:

If the system is operating, you know that
* [tex]3, 4 [/tex] and [tex] 5 [/tex] are all operating
and
* [tex] 1 [/tex] is not operating, status of [tex] 2 [/tex] is unimportant

what can you do with this?
 

1. What is the purpose of system and component probability calculations?

System and component probability calculations are used to determine the likelihood of a specific event or failure occurring within a system or component. This is important for assessing the reliability and safety of systems, as well as making informed decisions about maintenance and design.

2. How are system and component probability calculations performed?

System and component probability calculations involve using statistical methods and mathematical models to analyze data and determine the probability of events. This can include techniques such as fault tree analysis, event tree analysis, and Monte Carlo simulations.

3. What factors can affect the accuracy of system and component probability calculations?

There are several factors that can impact the accuracy of system and component probability calculations, including the quality and availability of data, the complexity of the system or component, and the assumptions and limitations of the mathematical models being used.

4. What are some real-world applications of system and component probability calculations?

System and component probability calculations are used in a wide range of industries, including aerospace, transportation, energy, and healthcare. They can be used to assess the safety and reliability of systems, predict maintenance needs, and inform design decisions.

5. How can system and component probability calculations help with risk management?

By accurately determining the probability of events and failures, system and component probability calculations can help identify potential risks and inform risk management strategies. This can include implementing preventive measures, developing contingency plans, and prioritizing maintenance and repairs.

Similar threads

  • Calculus and Beyond Homework Help
Replies
4
Views
858
  • Calculus and Beyond Homework Help
Replies
3
Views
741
  • Calculus and Beyond Homework Help
Replies
6
Views
857
  • Calculus and Beyond Homework Help
Replies
4
Views
3K
  • Calculus and Beyond Homework Help
Replies
9
Views
1K
  • Calculus and Beyond Homework Help
Replies
31
Views
3K
  • Calculus and Beyond Homework Help
Replies
17
Views
988
  • Calculus and Beyond Homework Help
Replies
6
Views
1K
  • Calculus and Beyond Homework Help
Replies
4
Views
853
  • Calculus and Beyond Homework Help
Replies
14
Views
2K
Back
Top