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Aug
2
comment Do two right triangles with the same long hypotenuse have the same area?
And a cynic might say: now that we know that monitors are advertised by their diagonal, and that a less square monitor (of the same diagonal) has a smaller area, perhaps that explain why the industry trend is for wider and wider screens?
Jan
15
awarded  Scholar
Jan
15
comment Time until x successes, given p(failure)?
Excellent, thank you very much! That solves my problem.
Jan
15
accepted Time until x successes, given p(failure)?
Jan
15
comment Time until x successes, given p(failure)?
ok, if the "restart events" are iid, such that during any second there is the same probability of a restart as during any other second, and I know the average time between restart, does the equation simplify to something more mundane? I don't have Maple or Mathematica on hand, now do I have any experience with them.
Jan
14
comment Time until x successes, given p(failure)?
I apologize for needing handholding. So I apply Bayes, and I use the CDF for Pr[R in the range] (that's the same as the PR[R \leq X] above, it seems). But how do I compute the expected-time-to-failure-under-constraint-that-it's-less-than-X? A weighted sum of each time for 0..X, multiplied by the probability that it's in that interval (based on the CDF)? There ought to be a better way, no?
Jan
14
awarded  Supporter
Jan
14
comment Time until x successes, given p(failure)?
Ah, this looks good. And with a Poisson distribution for R, Pr[R \leq X] is the CDF at X (using lambda=1/X), yes? But how do I compute E[R|R \leq X] ?
Jan
14
revised Time until x successes, given p(failure)?
added 158 characters in body
Jan
14
awarded  Student
Jan
14
comment Time until x successes, given p(failure)?
@Trevor: perhaps it does; I'm afraid I know nothing about reflection barriers. Is there a closed-form solution to this sort of problem?
Jan
14
awarded  Editor
Jan
14
revised Time until x successes, given p(failure)?
clarify
Jan
14
comment Time until x successes, given p(failure)?
Yes, I need the expected time to completion. Editing for clarity.
Jan
14
asked Time until x successes, given p(failure)?