{"id":13832,"date":"2025-07-15T13:34:47","date_gmt":"2025-07-15T13:34:47","guid":{"rendered":"https:\/\/functiontranslator.com\/distr-beta\/"},"modified":"2021-02-26T08:42:31","modified_gmt":"2021-02-26T08:42:31","slug":"betadist","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/es\/betadist\/","title":{"rendered":"DISTR.BETA"},"content":{"rendered":"<p>La funci\u00f3n DISTR.BETA en Excel y Google Sheets se utiliza para calcular la probabilidad acumulada de una variable aleatoria beta. Es especialmente \u00fatil en estad\u00edstica para modelar eventos con tasas de ocurrencia que var\u00edan, y encuentra aplicaciones en \u00e1reas como la gesti\u00f3n de proyectos y el control de calidad de procesos.<\/p>\n<h2>Sintaxis y Ejemplos de Uso<\/h2>\n<p>La sintaxis de la funci\u00f3n DISTR.BETA es:<\/p>\n<pre><code>=DISTR.BETA(x, alfa, beta, [A], [B])<\/code><\/pre>\n<ul>\n<li><b>x<\/b>: Valor donde se eval\u00faa la funci\u00f3n. Debe estar dentro del intervalo [A, B].<\/li>\n<li><b>alfa<\/b>: Par\u00e1metro alfa de la distribuci\u00f3n, debe ser un n\u00famero positivo.<\/li>\n<li><b>beta<\/b>: Par\u00e1metro beta de la distribuci\u00f3n; tambi\u00e9n debe ser positivo.<\/li>\n<li><b>A<\/b> (opcional): L\u00edmite inferior del intervalo para x, por defecto es 0.<\/li>\n<li><b>B<\/b> (opcional): L\u00edmite superior del intervalo para x, por defecto es 1.<\/li>\n<\/ul>\n<p>Ejemplo en Excel o Google Sheets:<\/p>\n<pre><code>=DISTR.BETA(0.5, 2, 3)<\/code><\/pre>\n<p>Este ejemplo calcula la probabilidad acumulada para una distribuci\u00f3n beta con par\u00e1metros alfa = 2 y beta = 3, evaluada en x = 0.5.<\/p>\n<h2>Aplicaciones Pr\u00e1cticas<\/h2>\n<h2>Gesti\u00f3n de Proyectos<\/h2>\n<p>Consideremos un gerente de proyecto que estima que la duraci\u00f3n de una etapa cr\u00edtica sigue una distribuci\u00f3n beta, dada su variabilidad. Los par\u00e1metros podr\u00edan ser:<\/p>\n<ul>\n<li>x = 30 d\u00edas<\/li>\n<li>alfa = 2<\/li>\n<li>beta = 5<\/li>\n<li>A = 10 d\u00edas (m\u00ednimo tiempo esperado)<\/li>\n<li>B = 50 d\u00edas (m\u00e1ximo tiempo esperado)<\/li>\n<\/ul>\n<p>F\u00f3rmula en Excel:<\/p>\n<pre><code>=DISTR.BETA(30, 2, 5, 10, 50)<\/code><\/pre>\n<p>Este c\u00e1lculo indica la probabilidad acumulada de que la etapa del proyecto se complete en 30 d\u00edas o menos, seg\u00fan los par\u00e1metros definidos.<\/p>\n<h2>Optimizaci\u00f3n del Dise\u00f1o de Productos<\/h2>\n<p>En dise\u00f1o de productos, el tiempo necesario para alcanzar un cierto nivel de satisfacci\u00f3n del cliente podr\u00eda modelarse con una distribuci\u00f3n beta. Consideramos los siguientes datos:<\/p>\n<ul>\n<li>x = 0.8 (80% de satisfacci\u00f3n)<\/li>\n<li>alfa = 3<\/li>\n<li>beta = 2<\/li>\n<\/ul>\n<p>F\u00f3rmula en Excel:<\/p>\n<pre><code>=DISTR.BETA(0.8, 3, 2)<\/code><\/pre>\n<p>Este c\u00e1lculo estima la probabilidad de alcanzar al menos un 80% de satisfacci\u00f3n del cliente en el modelo actual.<\/p>\n<p>As\u00ed, la funci\u00f3n DISTR.BETA resulta ser extremadamente \u00fatil para modelar escenarios en contextos diversos que requieren flexibilidad en el modelado estad\u00edstico y en la toma de decisiones, m\u00e1s all\u00e1 de las distribuciones m\u00e1s comunes como la normal.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Devuelve la funci\u00f3n de distribuci\u00f3n beta acumulativa<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[542],"tags":[],"class_list":["post-13832","post","type-post","status-publish","format-standard","hentry","category-compatibilidad"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Funci\u00f3n BETADIST (DISTR.BETA) en Excel \u2013 c\u00f3mo funciona, ejemplos y sintaxis<\/title>\n<meta name=\"description\" content=\"Explicaci\u00f3n breve de la funci\u00f3n BETADIST (DISTR.BETA) de Excel. 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