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Jul 29 at 19:17 comment added user13317 Interestingly, if I use my example above I get roughly the same answer. R code sqrt(-log(1 - 0.1) / (pi * 0.05)). Likely b/c the $\ln(1 - x) \approx -x$ for small $x$.
Jul 29 at 19:02 vote accept user13317
Jul 29 at 19:02 comment added user13317 Nice solution and well articulated! Thank you.
Jul 29 at 18:39 history answered whuber CC BY-SA 4.0