2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158024We consider Kemp's q-analogue of the binomial distribution. Several convergence results involving the classical binomial, the Heine, the discrete normal, and the Poisson distribution are established. Some of them are q-analogues of classical convergence properties. Besides elementary estimates, we apply Mellin transform asymptotics.ProbabilityCombinatorics60F05; 33D15text