redtuna
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# 15 Actions

 Aug2 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? Jan15 awarded Scholar Jan15 comment Time until x successes, given p(failure)? Excellent, thank you very much! That solves my problem. Jan15 accepted Time until x successes, given p(failure)? Jan15 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. Jan14 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? Jan14 awarded Supporter Jan14 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] ? Jan14 revised Time until x successes, given p(failure)? added 158 characters in body Jan14 awarded Student Jan14 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? Jan14 awarded Editor Jan14 revised Time until x successes, given p(failure)? clarify Jan14 comment Time until x successes, given p(failure)? Yes, I need the expected time to completion. Editing for clarity. Jan14 asked Time until x successes, given p(failure)?