{"id":13948,"date":"2025-07-15T13:34:47","date_gmt":"2025-07-15T13:34:47","guid":{"rendered":"https:\/\/functiontranslator.com\/fun-error-compl\/"},"modified":"2021-02-26T08:46:42","modified_gmt":"2021-02-26T08:46:42","slug":"erfc","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/es\/erfc\/","title":{"rendered":"FUN.ERROR.COMPL"},"content":{"rendered":"<p>La funci\u00f3n ERFC, tambi\u00e9n conocida en espa\u00f1ol como FUN.ERROR.COMPL, es una herramienta matem\u00e1tica disponible en MS Excel y Google Sheets que sirve para calcular la funci\u00f3n de error complementaria. Esta funci\u00f3n corresponde a uno menos la funci\u00f3n de error gaussiana (erf) y se aplica com\u00fanmente en campos como estad\u00edsticas, probabilidad, ingenier\u00eda y f\u00edsica.<\/p>\n<h2>Descripci\u00f3n y sintaxis<\/h2>\n<p>La funci\u00f3n de error complementaria es crucial para determinar la probabilidad de que una variable aleatoria normal exceda cierto valor positivo. La sintaxis de la funci\u00f3n es la siguiente:<\/p>\n<pre><code>=FUN.ERROR.COMPL(x)<\/code><\/pre>\n<p>En esta expresi\u00f3n, el argumento <strong>x<\/strong> indica el l\u00edmite inferior para la integraci\u00f3n de la funci\u00f3n de error complementaria desde 0 hasta <strong>x<\/strong>.<\/p>\n<p>Una aplicaci\u00f3n t\u00edpica de esta funci\u00f3n se encuentra en la evaluaci\u00f3n de resultados que implican la distribuci\u00f3n normal acumulativa complementaria. Los valores que devuelve abarcan un rango de 0 a 1, proviendo una medida \u00fatil para cuantificar la parte de la distribuci\u00f3n que se extiende m\u00e1s all\u00e1 de un punto dado.<\/p>\n<h2>Ejemplos de uso<\/h2>\n<ul>\n<li>\n<p>Al utilizar la f\u00f3rmula <code>=FUN.ERROR.COMPL(1)<\/code> tanto en Excel como en Google Sheets, se obtiene cerca de 0.1573, lo cual sugiere que aproximadamente el 15.73% de la distribuci\u00f3n normal est\u00e1ndar se encuentra m\u00e1s all\u00e1 del 1.<\/p>\n<\/li>\n<li>\n<p>Con <code>=FUN.ERROR.COMPL(2)<\/code>, el resultado aproximado es 0.0047, indicando una probabilidad significativamente menor en la cola para un valor extremo.<\/p>\n<\/li>\n<\/ul>\n<h2>Aplicaciones pr\u00e1cticas de la funci\u00f3n<\/h2>\n<p>A continuaci\u00f3n se ejemplifica c\u00f3mo la funci\u00f3n FUN.ERROR.COMPL puede ser utilizada para resolver problemas espec\u00edficos en escenarios reales.<\/p>\n<table>\n<tr>\n<th>Problema<\/th>\n<th>Soluci\u00f3n<\/th>\n<\/tr>\n<tr>\n<td><b>Ejercicio 1: Probabilidad en un proceso de control de calidad<\/b><br \/> En un control de calidad, se determina que los pesos de las piezas siguen una distribuci\u00f3n normal con media de 50 kg y una desviaci\u00f3n est\u00e1ndar de 5 kg. \u00bfCu\u00e1l es la probabilidad de que una pieza pese m\u00e1s de 60 kg?<\/td>\n<td>Primero, normalizamos el peso de 60 kg con la f\u00f3rmula Z = (X &#8211; mu) \/ sigma, resultando en (60 &#8211; 50) \/ 5 = 2. Luego aplicamos <\/p>\n<pre><code>=FUN.ERROR.COMPL(2)<\/code><\/pre>\n<p> en Excel o Google Sheets. Seg\u00fan la funci\u00f3n, la probabilidad es aproximadamente 0.0047 o 0.47%.<\/td>\n<\/tr>\n<tr>\n<td><b>Ejercicio 2: Evaluaci\u00f3n de riesgo financiero<\/b><br \/> Se analiza el riesgo de incurrir en p\u00e9rdidas mayores al 10% en una inversi\u00f3n, bajo una distribuci\u00f3n de rendimiento normal con media 0 y desviaci\u00f3n est\u00e1ndar del 3%. Se busca calcular la probabilidad de que la p\u00e9rdida exceda el 10%.<\/td>\n<td>Igual que en el ejemplo anterior, normalizamos el 10% con la f\u00f3rmula Z = (0.10 &#8211; 0) \/ 0.03, aproximadamente 3.33. Aplicamos <\/p>\n<pre><code>=FUN.ERROR.COMPL(3.33)<\/code><\/pre>\n<p> y encontramos un valor muy bajo, indicando una probabilidad extremadamente baja (menor al 0.05%) de que las p\u00e9rdidas superen el 10%.<\/td>\n<\/tr>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Devuelve la funci\u00f3n de error complementaria<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[541],"tags":[],"class_list":["post-13948","post","type-post","status-publish","format-standard","hentry","category-ingenieria"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Funci\u00f3n ERFC (FUN.ERROR.COMPL) en Excel \u2013 c\u00f3mo funciona, ejemplos y sintaxis<\/title>\n<meta name=\"description\" content=\"Explicaci\u00f3n breve de la funci\u00f3n ERFC (FUN.ERROR.COMPL) de Excel. 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