{"id":45,"date":"2023-08-06T05:21:14","date_gmt":"2023-08-06T05:21:14","guid":{"rendered":"https:\/\/statorials.org\/tr\/deneysel-olasilik\/"},"modified":"2023-08-06T05:21:14","modified_gmt":"2023-08-06T05:21:14","slug":"deneysel-olasilik","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/deneysel-olasilik\/","title":{"rendered":"Deneysel olas\u0131l\u0131k"},"content":{"rendered":"<p>Burada deneysel olas\u0131l\u0131\u011f\u0131n anlam\u0131n\u0131 ve deneysel olas\u0131l\u0131\u011f\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 bulacaks\u0131n\u0131z. Ek olarak, deneysel olas\u0131l\u0131\u011f\u0131 hesaplaman\u0131n ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclm\u00fc\u015f bir \u00f6rne\u011fini g\u00f6rebileceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-probabilidad-experimental\"><\/span> Deneysel olas\u0131l\u0131k nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Deneysel olas\u0131l\u0131k,<\/strong> bir deneyin sonu\u00e7lar\u0131na veya ampirik ger\u00e7eklere dayanan istatistiksel bir \u00f6l\u00e7\u00fcmd\u00fcr ve bir olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131 g\u00f6sterir.<\/p>\n<p> Ayr\u0131ca deney ne kadar \u00e7ok tekrarlan\u0131rsa elde edilen deneysel olas\u0131l\u0131k o kadar kesin olacakt\u0131r. Bu nedenle deneysel olas\u0131l\u0131\u011f\u0131n belirlenmesinde genellikle binlerce deneyi h\u0131zl\u0131 bir \u015fekilde sim\u00fcle edebilen bilgisayar programlar\u0131 kullan\u0131l\u0131r ve b\u00f6ylece daha iyi kesinlik elde edilir.<\/p>\n<p> Deneysel olas\u0131l\u0131k ayn\u0131 zamanda <strong>ampirik olas\u0131l\u0131k<\/strong> veya <strong>frekans olas\u0131l\u0131\u011f\u0131<\/strong> olarak da bilinir.<\/p>\n<p> Deneysel olas\u0131l\u0131k 0 ile 1 aras\u0131nda bir say\u0131d\u0131r. Mant\u0131ksal olarak, bir olay\u0131n deneysel olas\u0131l\u0131\u011f\u0131n\u0131n de\u011feri ne kadar b\u00fcy\u00fckse, ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 da o kadar y\u00fcksek olur; bunun tersi de, de\u011fer ne kadar k\u00fc\u00e7\u00fckse, ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 da o kadar azd\u0131r. meydana gelmesi muhtemeldir. veya olay meydana gelir. Ancak deneysel olas\u0131l\u0131\u011f\u0131n de\u011feri her zaman s\u0131f\u0131r ile bir aras\u0131nda olacakt\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-probabilidad-experimental\"><\/span> Deneysel olas\u0131l\u0131k form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Deneysel olas\u0131l\u0131k form\u00fcl\u00fc<\/strong> , bir deney s\u0131ras\u0131nda bir olay\u0131n meydana gelme say\u0131s\u0131n\u0131n deneyin ger\u00e7ekle\u015ftirilme toplam say\u0131s\u0131na b\u00f6l\u00fcnmesiyle elde edilir.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e2f1b5f7feb72051fa7a546d93d6b829_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P=\\cfrac{\\text{veces que ocurri\\'o el evento}}{\\text{n\\'umero total de experimentos}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"272\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> \u00d6rne\u011fin, bir ki\u015fi bir hedefe 10 dart atar ve merkezdeki 6 dart\u0131 vurmay\u0131 ba\u015far\u0131rsa, o ki\u015finin dart\u0131 merkezden vurma olas\u0131l\u0131\u011f\u0131 \u015fu \u015fekilde hesaplan\u0131r: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9792e86842c7ade8d2df2b7a894de891_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P=\\cfrac{6}{10}=0,6\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"107\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-probabilidad-experimental\"><\/span> Deneysel olas\u0131l\u0131k \u00f6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Deneysel olas\u0131l\u0131\u011f\u0131n matematiksel tan\u0131m\u0131n\u0131 g\u00f6rd\u00fckten sonra, bu t\u00fcr olas\u0131l\u0131\u011fa ili\u015fkin ad\u0131m ad\u0131m bir al\u0131\u015ft\u0131rmay\u0131 \u00e7\u00f6zece\u011fiz. Ama\u00e7 bir olay\u0131n deneysel olas\u0131l\u0131\u011f\u0131n\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 \u00f6\u011frenmenizdir, dolay\u0131s\u0131yla sorular\u0131n\u0131z varsa yorumlara yazabilirsiniz.<\/p>\n<ul>\n<li> Bir zar\u0131n at\u0131lmas\u0131yla ilgili rastgele deneyini olu\u015fturan temel olaylar\u0131n deneysel olas\u0131l\u0131\u011f\u0131n\u0131 hesaplay\u0131n.<\/li>\n<\/ul>\n<p> Deneysel olas\u0131l\u0131\u011f\u0131 bulmadan \u00f6nce, elde edilen deneysel sonu\u00e7lar\u0131 teorik sonu\u00e7larla kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in teorik olas\u0131l\u0131\u011f\u0131 hesaplayaca\u011f\u0131z. Bildi\u011finiz gibi, bir zar at\u0131ld\u0131\u011f\u0131nda alt\u0131 olas\u0131 sonu\u00e7 vard\u0131r (1, 2, 3, 4, 5 ve 6), dolay\u0131s\u0131yla her temel olay\u0131n teorik olas\u0131l\u0131\u011f\u0131 \u015f\u00f6yledir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d8d6889656fa0d5faf24bf66b58d9e27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P=\\cfrac{1}{6}=0,167\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"116\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Bu al\u0131\u015ft\u0131rmay\u0131 \u00e7\u00f6zmek i\u00e7in, bir zar\u0131n birka\u00e7 kez at\u0131lmas\u0131n\u0131 sim\u00fcle etmemiz ve sonu\u00e7lar\u0131 bir olas\u0131l\u0131k tablosuna kaydetmemiz gerekir. Bu durumda sim\u00fclasyonlar\u0131 Excel program\u0131 ile yapaca\u011f\u0131z ancak siz tabi ki istedi\u011finiz program\u0131 kullanabilirsiniz.<\/p>\n<p> \u00d6nce on at\u0131\u015f, sonra y\u00fcz at\u0131\u015f ve son olarak da bin at\u0131\u015f sim\u00fclasyonu yapaca\u011f\u0131z. Bu \u015fekilde sonu\u00e7lar\u0131 analiz edebilece\u011fiz ve deneyin \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcne ba\u011fl\u0131 olarak nas\u0131l de\u011fi\u015fti\u011fini g\u00f6rebilece\u011fiz. 10 zar at\u0131\u015f\u0131n\u0131n rastgele sim\u00fclasyonundan sonra elde edilen sonu\u00e7lar a\u015fa\u011f\u0131daki gibidir: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/comment-calculer-la-probabilite-experimentale.png\" alt=\"deneysel olas\u0131l\u0131k nas\u0131l hesaplan\u0131r\" class=\"wp-image-787\" width=\"280\" height=\"183\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> G\u00f6rd\u00fc\u011f\u00fcn\u00fcz gibi elde edilen deneysel olas\u0131l\u0131klar, daha \u00f6nce hesaplanan teorik olas\u0131l\u0131klardan (0,167) olduk\u00e7a farkl\u0131.<\/p>\n<p> Ancak test say\u0131s\u0131n\u0131 art\u0131rd\u0131k\u00e7a bu iki \u00f6l\u00e7\u00fcm daha da benzer hale geliyor, 100 f\u0131rlatma sim\u00fclasyonuna bir g\u00f6z at\u0131n: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/comment-reduire-la-probabilite-experimentale.png\" alt=\"deneysel olas\u0131l\u0131k nas\u0131l bulunur\" class=\"wp-image-788\" width=\"280\" height=\"184\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Art\u0131k deneysel olas\u0131l\u0131k daha \u00e7ok teorik olas\u0131l\u0131k de\u011ferine benziyor ancak yine de uzak de\u011ferler elde ediyoruz.<\/p>\n<p> Son olarak ayn\u0131 i\u015flemi yap\u0131yoruz ancak 1000 ba\u015flatmay\u0131 sim\u00fcle ediyoruz: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exemples-de-probabilite-experimentale.png\" alt=\"deneysel olas\u0131l\u0131k \u00f6rnekleri\" class=\"wp-image-789\" width=\"280\" height=\"185\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Son beklenmedik durum tablosunda da g\u00f6rebilece\u011finiz gibi art\u0131k deneysel olas\u0131l\u0131klar\u0131n de\u011ferleri teorik olas\u0131l\u0131klara \u00e7ok benzer.<\/p>\n<p> \u00d6zetle, <strong>ger\u00e7ekle\u015ftirilen deney say\u0131s\u0131 ne kadar fazla olursa, bir olay\u0131n deneysel olas\u0131l\u0131\u011f\u0131n\u0131n de\u011feri o olay\u0131n teorik olas\u0131l\u0131\u011f\u0131na o kadar yak\u0131n olacakt\u0131r<\/strong> . Bu kural, ne kadar \u00e7ok veri varsa deneysel de\u011ferlerin teorik de\u011ferlere o kadar yak\u0131n olaca\u011f\u0131n\u0131 ifade eden <strong>b\u00fcy\u00fck say\u0131lar kanunu<\/strong> olarak tan\u0131mlan\u0131r.<\/p>\n<p> Ayn\u0131 \u015fekilde \u00fc\u00e7 frekans tablosunu kar\u015f\u0131la\u015ft\u0131r\u0131rsan\u0131z deneysel olas\u0131l\u0131\u011f\u0131n kesin olmad\u0131\u011f\u0131n\u0131, yap\u0131lan deney say\u0131s\u0131na ba\u011fl\u0131 olarak geli\u015fti\u011fini g\u00f6receksiniz. Bu, elde edilen de\u011ferleri nas\u0131l yorumlayaca\u011f\u0131n\u0131z\u0131 bilmeniz gerekti\u011fi anlam\u0131na gelir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"probabilidad-experimental-y-probabilidad-teorica\"><\/span> Deneysel olas\u0131l\u0131k ve teorik olas\u0131l\u0131k<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Deneysel olas\u0131l\u0131k ile teorik olas\u0131l\u0131k (veya klasik olas\u0131l\u0131k) aras\u0131ndaki fark<\/strong> , deneysel olas\u0131l\u0131\u011f\u0131n ger\u00e7ek bir deneyden toplanan verilerden hesaplanmas\u0131, teorik olas\u0131l\u0131\u011f\u0131n ise herhangi bir deney yap\u0131lmas\u0131na gerek kalmadan hesaplanmas\u0131d\u0131r.<\/p>\n<p> G\u00f6rd\u00fc\u011f\u00fcm\u00fcz gibi bir olay\u0131n deneysel olas\u0131l\u0131\u011f\u0131n\u0131 ortaya \u00e7\u0131karmak i\u00e7in \u00e7ok say\u0131da deneyi sim\u00fcle etmemiz gerekir. Ancak teorik olas\u0131l\u0131\u011f\u0131 hesaplamak teori ve mant\u0131kla ilgilidir. Burada nas\u0131l yap\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6rebilirsiniz: <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/teorik-olasilik-1\/\">teorik olas\u0131l\u0131k nas\u0131l hesaplan\u0131r?<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Burada deneysel olas\u0131l\u0131\u011f\u0131n anlam\u0131n\u0131 ve deneysel olas\u0131l\u0131\u011f\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 bulacaks\u0131n\u0131z. Ek olarak, deneysel olas\u0131l\u0131\u011f\u0131 hesaplaman\u0131n ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclm\u00fc\u015f bir \u00f6rne\u011fini g\u00f6rebileceksiniz. Deneysel olas\u0131l\u0131k nedir? Deneysel olas\u0131l\u0131k, bir deneyin sonu\u00e7lar\u0131na veya ampirik ger\u00e7eklere dayanan istatistiksel bir \u00f6l\u00e7\u00fcmd\u00fcr ve bir olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131 g\u00f6sterir. Ayr\u0131ca deney ne kadar \u00e7ok tekrarlan\u0131rsa elde edilen deneysel olas\u0131l\u0131k o kadar [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-45","post","type-post","status-publish","format-standard","hentry","category-olasilik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Deneysel olas\u0131l\u0131k nedir? 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