{"id":5449,"date":"2025-07-15T13:34:44","date_gmt":"2025-07-15T13:34:44","guid":{"rendered":"https:\/\/functiontranslator.com\/binom-dist\/"},"modified":"2021-02-26T09:50:43","modified_gmt":"2021-02-26T09:50:43","slug":"binom-dist","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/binom-dist\/","title":{"rendered":"BINOM.DIST"},"content":{"rendered":"<p>Funkce BINOM.DIST v Microsoft Excel a Google Sheets se pou\u017e\u00edv\u00e1 pro v\u00fdpo\u010det pravd\u011bpodobnosti binomick\u00e9 distribuce, kl\u00ed\u010dov\u00e9 pro proveden\u00ed r\u016fzn\u00fdch statistick\u00fdch anal\u00fdz. Binomick\u00e1 distribuce je typ diskr\u00e9tn\u00ed distribuce popisuj\u00edc\u00ed po\u010det \u00fasp\u011bch\u016f v n\u011bkolika nez\u00e1visl\u00fdch pokusech, kde ka\u017ed\u00fd pokus m\u00e1 stejnou pravd\u011bpodobnost \u00fasp\u011bchu.<\/p>\n<h2>Syntaxe a pou\u017eit\u00ed<\/h2>\n<p>Syntaxe funkce BINOM.DIST je definov\u00e1na n\u00e1sledovn\u011b:<\/p>\n<pre><code>=BINOM.DIST(po\u010det_\u00fasp\u011bch\u016f, pokusy, pravd\u011bpodobnost, kumulativn\u00ed)<\/code><\/pre>\n<ul>\n<li><code>po\u010det_\u00fasp\u011bch\u016f<\/code> \u2013 Po\u010det \u00fasp\u011bch\u016f, pro kter\u00e9 se ur\u010duje pravd\u011bpodobnost.<\/li>\n<li><code>pokusy<\/code> \u2013 Celkov\u00fd po\u010det nez\u00e1visl\u00fdch pokus\u016f.<\/li>\n<li><code>pravd\u011bpodobnost<\/code> \u2013 Pravd\u011bpodobnost \u00fasp\u011bchu v jednom pokusu.<\/li>\n<li><code>kumulativn\u00ed<\/code> \u2013 Logick\u00e1 hodnota, kde hodnota TRUE spo\u010d\u00edt\u00e1 kumulativn\u00ed distribu\u010dn\u00ed funkci a FALSE vr\u00e1t\u00ed funkci hustoty pravd\u011bpodobnosti.<\/li>\n<\/ul>\n<p>Uk\u00e1zka pou\u017eit\u00ed funkce BINOM.DIST v Excelu nebo Google Sheets m\u016f\u017ee vypadat takto:<\/p>\n<pre><code>=BINOM.DIST(6, 10, 0.5, FALSE)<\/code><\/pre>\n<p>Tento p\u0159\u00edklad odhadne pravd\u011bpodobnost, \u017ee dojde k p\u0159esn\u011b \u0161esti \u00fasp\u011bch\u016fm p\u0159i 10 pokusech, p\u0159i\u010dem\u017e pravd\u011bpodobnost \u00fasp\u011bchu za jeden pokus je 0.5 (50%).<\/p>\n<h2>Aplikace v praxi<\/h2>\n<h2>Testov\u00e1n\u00ed kvality v\u00fdrobn\u00edho procesu<\/h2>\n<p>P\u0159edstavme si, \u017ee firma prov\u00e1d\u00ed kontrolu kvality na v\u00fdrobn\u00ed lince a zji\u0161\u0165uje, zda v\u00fdrobky spl\u0148uj\u00ed stanoven\u00e9 standardy. Z historick\u00fdch dat vypl\u00fdv\u00e1, \u017ee 8% v\u00fdrobk\u016f standardy nespl\u0148uje. Jak\u00e1 je pravd\u011bpodobnost, \u017ee z 150 testovan\u00fdch v\u00fdrobk\u016f bude pr\u00e1v\u011b 10 nespl\u0148ovat standardy?<\/p>\n<pre><code>=BINOM.DIST(10, 150, 0.08, FALSE)<\/code><\/pre>\n<p>Parametry funkce jsou v tomto p\u0159\u00edpad\u011b nastaveny takto: <code>po\u010det_\u00fasp\u011bch\u016f<\/code> je 10, <code>pokusy<\/code> jsou 150, <code>pravd\u011bpodobnost<\/code> nespln\u011bn\u00ed standardu \u010din\u00ed 0.08 a <code>kumulativn\u00ed<\/code> je nastaven\u00e1 na FALSE, \u010d\u00edm\u017e z\u00edsk\u00e1me funkci hustoty pravd\u011bpodobnosti.<\/p>\n<h2>Pl\u00e1nov\u00e1n\u00ed event\u016f<\/h2>\n<p>P\u0159i pl\u00e1nov\u00e1n\u00ed eventu m\u016f\u017ee organiz\u00e1tor cht\u00edt zjistit, jak\u00e1 je pravd\u011bpodobnost, \u017ee se eventu z\u00fa\u010dastn\u00ed alespo\u0148 50 z 200 pozvan\u00fdch host\u016f, pokud historick\u00e1 \u00fa\u010dast na podobn\u00fdch akc\u00edch byla 20%. Zde se pou\u017eije kumulativn\u00ed distribu\u010dn\u00ed funkce:<\/p>\n<pre><code>=BINOM.DIST(49, 200, 0.2, TRUE)<\/code><\/pre>\n<p>K v\u00fdpo\u010dtu pravd\u011bpodobnosti, \u017ee se z\u00fa\u010dastn\u00ed m\u00e9n\u011b ne\u017e 50 host\u016f (tedy maxim\u00e1ln\u011b 49), se pou\u017eije funkce. N\u00e1sledn\u011b se od hodnoty 1 ode\u010dte z\u00edskan\u00e1 pravd\u011bpodobnost k zji\u0161t\u011bn\u00ed pravd\u011bpodobnosti \u00fa\u010dasti alespo\u0148 50 host\u016f.<\/p>\n<p>Uveden\u00e9 p\u0159\u00edklady ukazuj\u00ed, jak je mo\u017en\u00e9 vyu\u017e\u00edt binomickou distribuci v praxi, a\u0165 u\u017e jde o kontrolu v\u00fdrobn\u00edch proces\u016f nebo organizaci ud\u00e1lost\u00ed. S pomoc\u00ed Excelu a Google Sheets lze tyto pravd\u011bpodobnosti snadno modelovat a aplikovat v praxi.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Vr\u00e1t\u00ed hodnotu binomick\u00e9ho rozd\u011blen\u00ed pravd\u011bpodobnosti jednotliv\u00fdch veli\u010din<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[287],"tags":[],"class_list":["post-5449","post","type-post","status-publish","format-standard","hentry","category-statisticke"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Funkce BINOM.DIST v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije BINOM.DIST u Excelu i Google tablicama. 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