{ "id": "2004.03280", "version": "v1", "published": "2020-04-07T11:30:54.000Z", "updated": "2020-04-07T11:30:54.000Z", "title": "Uniqueness of a Median of a Binomial Distribution with Rational Probability", "authors": [ "Szymon Nowakowski" ], "categories": [ "math.PR" ], "abstract": "In this paper we show that the median of the binomial distribution $B(n, p)$ is unique for all rational $p$ with the only exception of $p=\\frac{1}{2}$ and $n$ odd", "revisions": [ { "version": "v1", "updated": "2020-04-07T11:30:54.000Z" } ], "analyses": { "keywords": [ "binomial distribution", "rational probability", "uniqueness" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }