{"id":14146,"date":"2025-07-15T13:34:47","date_gmt":"2025-07-15T13:34:47","guid":{"rendered":"https:\/\/functiontranslator.com\/poisson-dist\/"},"modified":"2021-02-26T08:56:09","modified_gmt":"2021-02-26T08:56:09","slug":"poisson-dist","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/es\/poisson-dist\/","title":{"rendered":"POISSON.DIST"},"content":{"rendered":"

Descripci\u00f3n General de la Funci\u00f3n de Distribuci\u00f3n Poisson<\/h2>\n

En Excel y Google Sheets, la funci\u00f3n que modela la distribuci\u00f3n de Poisson es esencial para calcular la probabilidad de un n\u00famero espec\u00edfico de eventos en un intervalo de tiempo o espacio fijo, dada una tasa media conocida de ocurrencias. Esta distribuci\u00f3n es ampliamente utilizada en diversas \u00e1reas como estad\u00edstica, investigaci\u00f3n operativa y gesti\u00f3n de procesos y calidad.<\/p>\n

Sintaxis y Ejemplos de Uso<\/h2>\n

La funci\u00f3n se estructura de la siguiente manera:<\/p>\n

 POISSON.DIST(x, lambda, acumulado) <\/code><\/pre>\n
    \n
  • x<\/strong>: Es el n\u00famero de eventos. Representa el valor para el cual deseamos determinar la probabilidad.<\/li>\n
  • lambda<\/strong>: Es el promedio de ocurrencias en un intervalo fijo (tasa de eventos).<\/li>\n
  • acumulado<\/strong>: Par\u00e1metro l\u00f3gico que indica el tipo de funci\u00f3n a devolver. Si se establece como VERDADERO (1), la funci\u00f3n devolver\u00e1 la distribuci\u00f3n acumulativa; si es FALSO (0), proporcionar\u00e1 la funci\u00f3n de probabilidad de masa.<\/li>\n<\/ul>\n
    Ejemplo 1: Consideremos una tienda donde el n\u00famero promedio de clientes por hora es 5. Deseamos calcular la probabilidad de que exactamente 3 clientes entren en una hora espec\u00edfica.<\/p>\n
     =POISSON.DIST(3, 5, FALSO) <\/code><\/pre>\n
    Ejemplo 2: En el mismo contexto, si necesitamos saber la probabilidad de que entren 3 clientes o menos en ese lapso.<\/p>\n
     =POISSON.DIST(3, 5, VERDADERO) <\/code><\/pre>\n
    Aplicaciones Pr\u00e1cticas<\/h2>\n
    La funci\u00f3n de distribuci\u00f3n de Poisson tiene variadas aplicaciones pr\u00e1cticas. A continuaci\u00f3n, describimos dos ejemplos:<\/p>\n
    Control de L\u00edneas en un Banco<\/h2>\n
    Supongamos que un an\u00e1lisis determin\u00f3 que, en promedio, 10 clientes llegan cada 30 minutos a un banco. Podemos calcular la probabilidad de que lleguen exactamente 7 clientes en ese tiempo con la f\u00f3rmula:<\/p>\n
     =POISSON.DIST(7, 10, FALSO) <\/code><\/pre>\n
    Este c\u00e1lculo permite al banco prepararse adecuadamente para las variaciones en el flujo de clientes, asegurando una eficiente asignaci\u00f3n de recursos y personal.<\/p>\n
    Planificaci\u00f3n de Inventarios en Comercio<\/h2>\n
    Consideremos una librer\u00eda donde en promedio llegan 8 clientes cada hora. Si el due\u00f1o quiere estimar la probabilidad de que lleguen 5 o menos clientes en una hora, podr\u00eda calcularlo de la siguiente manera:<\/p>\n
     =POISSON.DIST(5, 8, VERDADERO) <\/code><\/pre>\n
    Este an\u00e1lisis asiste a la librer\u00eda en la optimizaci\u00f3n de sus recursos y mejora la eficiencia operacional, especialmente durante per\u00edodos de baja actividad.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Devuelve la distribuci\u00f3n de Poisson<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[540],"tags":[],"class_list":["post-14146","post","type-post","status-publish","format-standard","hentry","category-estadistica"],"acf":[],"yoast_head":"\nFunci\u00f3n POISSON.DIST en Excel \u2013 c\u00f3mo funciona, ejemplos y sintaxis<\/title>\n<meta name=\"description\" content=\"Explicaci\u00f3n breve de la funci\u00f3n POISSON.DIST de Excel. 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