Probability Density Function Help

  • Thread starter Mesmer
  • Start date
40
0
Probability Density Function....Help

The probabiltiy density function of the time to failure of an electric component in hours is [tex]f(x)=e^{(-x/3000)/3000}[/tex] for x > 0 and f(x) = 0 for [tex] x \leq 0[/tex] determine the probability that

a) A component last more than 1000 hours before failure
I know how to solve this part. All I have to to is integrate the given function from [1000, infinity].

But how do determine the number of hours at wich 10% of all the components have failed? I don't know what interval I should integrate over. Any Ideas?
 
Last edited:

0rthodontist

Science Advisor
1,230
0
If F(x) is the probability that a component has failed by time x, you are looking for when F(x) = .10. Can you solve that?
 
40
0
yes I can. thank you!
 
40
0
when I solve it as you state that is no the answer.
any other ideas?
 

Want to reply to this thread?

"Probability Density Function Help" You must log in or register to reply here.

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Top Threads

Top