Conditional Probability of failure using the CDF (component has survived 14000 hours)

free_state

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Apr 26, 2018
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Hi guys just a quick question,

Trying to predict the chance of failure in 1000 hours given survival has already occurred till the current age using the CDF (Weibull Distribution)

For example I have a component that has survived 14000 hours, what is the probability it will last another 1000 hours?

Assuming that F(t) is the CDF, is it simply:

F(t + 1000) - F(t)

This method is giving some weird results,

I think I should be using the conditional probability formula but not sure how to make it work, any help is much appreciated.
 
Hi guys just a quick question,

Trying to predict the chance of failure in 1000 hours given survival has already occurred till the current age using the CDF (Weibull Distribution)

For example I have a component that has survived 14000 hours, what is the probability it will last another 1000 hours?

Assuming that F(t) is the CDF, is it simply:

F(t + 1000) - F(t)

This method is giving some weird results,

I think I should be using the conditional probability formula but not sure how to make it work, any help is much appreciated.

What would it look like using conditional probability? P(alive at t + 1000 | alive at t) = ?

What probability does F(t) give you?
 
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