2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/160130We give sharp, uniform estimates for the probability that the empirical distribution function for n uniform-[0,1] random variables stays to one side of a given line.v4. 11 pages. Very tiny corrections. Fixed equation numberingProbabilityStatistics Theory62G30; 60G50text