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Sep 23, 2021 at 2:27 comment added Maxim Gilula I needed something a little stronger than that theorem when I worked on the problem I had in mind. The error is relatively large for what I needed.
Sep 23, 2021 at 2:26 comment added Brendan McKay @MaximGilula There is a large literature on normal approximation of the binomial distribution. Start with the Berry-Esseen Theorem, which gives an explicit bound on the error.
Nov 8, 2018 at 3:56 comment added Maxim Gilula Do you have an error approximation on this, @BrendanMcKay or @RussellMay? I would love to know. I have a problem in exactly this situation.
Apr 11, 2012 at 11:39 comment added Brendan McKay This will only be a good estimate when the upper limit is close to the centre of the normal approximation, i.e., when $\alpha\approx p$.
Apr 11, 2012 at 10:37 history edited Russell May CC BY-SA 3.0
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Apr 11, 2012 at 10:31 history answered Russell May CC BY-SA 3.0