2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59520In this paper, explicit formulae for the expectation and the variance of descent functions on random standard Young tableaux are presented. Using these, it is shown that the normalized variance, $V/E^2$, is bounded if and only if a certain inequality relating tableau shape to the descent function holds.12 pages, 9 figuresCombinatorics05E10 (Primary) 05A15 (Secondary)text