2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74648Let $K$ be a smooth convex set with volume one in $\BBR^d$. Choose $n$ random points in $K$ independently according to the uniform distribution. The convex hull of these points, denoted by $K_n$, is called a {\it random polytope}. We prove that several key functionals of $K_n$ satisfy the central limit theorem as $n$ tends to infinity.23 pages, no figureProbabilityCombinatorics60D05, 52A22, 42A61text