{"id":10396,"date":"2025-07-15T13:34:50","date_gmt":"2025-07-15T13:34:50","guid":{"rendered":"https:\/\/functiontranslator.com\/rozkl-exp\/"},"modified":"2021-02-26T05:08:43","modified_gmt":"2021-02-26T05:08:43","slug":"expon-dist","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/pl\/expon-dist\/","title":{"rendered":"ROZK\u0141.EXP"},"content":{"rendered":"

Wprowadzenie<\/h2>\n

Funkcja ROZK\u0141.EXP w MS Excel (odpowiednik EXPON.DIST w angielskiej wersji) oraz jej odpowiednik w Arkuszach Google s\u0142u\u017c\u0105 do obliczania prawdopodobie\u0144stwa dla rozk\u0142adu wyk\u0142adniczego. Jest to niezast\u0105pione narz\u0119dzie statystyczne do analizy czasu wyst\u0119powania zdarze\u0144 w procesach o sta\u0142ej \u015bredniej intensywno\u015bci zdarze\u0144.<\/p>\n

Syntaktyka funkcji<\/h2>\n

Funkcja ROZK\u0141.EXP wymaga podania trzech argument\u00f3w:<\/p>\n

ROZK\u0141.EXP(x, lambda, kumulacja)<\/code><\/pre>\n
    \n
  • x<\/strong> – warto\u015b\u0107, dla kt\u00f3rej funkcja zostanie obliczona. Musi by\u0107 ona wi\u0119ksza lub r\u00f3wna 0.<\/li>\n
  • lambda<\/strong> – parametr szybko\u015bci rozk\u0142adu, kt\u00f3ry musi by\u0107 wi\u0119kszy od 0.<\/li>\n
  • kumulacja<\/strong> – warto\u015b\u0107 logiczna okre\u015blaj\u0105ca typ zwracanego wyniku: PRAWDA dla dystrybuanty (czyli skumulowanego prawdopodobie\u0144stwa), FA\u0141SZ dla g\u0119sto\u015bci prawdopodobie\u0144stwa.<\/li>\n<\/ul>\n
    Przyk\u0142ad zastosowania 1: Obliczanie g\u0119sto\u015bci prawdopodobie\u0144stwa<\/h2>\n
    Przyjmijmy, \u017ce chcemy analizowa\u0107 czas oczekiwania na awari\u0119 maszyny, kt\u00f3ry jest modelowany za pomoc\u0105 rozk\u0142adu wyk\u0142adniczego z parametrem lambda = 0.2. Chcemy obliczy\u0107 prawdopodobie\u0144stwo awarii maszyny po dok\u0142adnie 5 godzinach.<\/p>\n
    =ROZK\u0141.EXP(5, 0.2, FA\u0141SZ)<\/code><\/pre>\n
    Wynik tej funkcji, r\u00f3wny oko\u0142o 0.07365, wskazuje, \u017ce g\u0119sto\u015b\u0107 prawdopodobie\u0144stwa wyst\u0105pienia awarii maszyny po 5 godzinach pracy jest r\u00f3wna 0.07365.<\/p>\n
    Przyk\u0142ad zastosowania 2: Obliczenie skumulowanego prawdopodobie\u0144stwa<\/h2>\n
    Za\u0142\u00f3\u017cmy, \u017ce analizujemy czas mi\u0119dzy zg\u0142oszeniami b\u0142\u0119d\u00f3w oprogramowania, gdzie zmienna czasowa r\u00f3wnie\u017c jest modelowana za pomoc\u0105 rozk\u0142adu wyk\u0142adniczego z lambda = 0.3. Chcemy obliczy\u0107 prawdopodobie\u0144stwo zg\u0142oszenia kolejnego b\u0142\u0119du w ci\u0105gu 10 godzin od ostatniego zg\u0142oszenia.<\/p>\n
    =ROZK\u0141.EXP(10, 0.3, PRAWDA)<\/code><\/pre>\n
    Warto\u015b\u0107 zwr\u00f3cona przez funkcj\u0119, r\u00f3wna oko\u0142o 0.9502, informuje, \u017ce istnieje oko\u0142o 95% szans, \u017ce kolejne zg\u0142oszenie b\u0142\u0119du wyst\u0105pi w ci\u0105gu 10 godzin od poprzedniego zg\u0142oszenia.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Zwraca rozk\u0142ad wyk\u0142adniczy<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[428],"tags":[],"class_list":["post-10396","post","type-post","status-publish","format-standard","hentry","category-statystyczne"],"acf":[],"yoast_head":"\nFunkcja EXPON.DIST (ROZK\u0141.EXP) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia<\/title>\n<meta name=\"description\" content=\"Opis funkcji EXPON.DIST (ROZK\u0141.EXP) w Excelu. 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