{"id":1307,"date":"2023-07-26T22:38:46","date_gmt":"2023-07-26T22:38:46","guid":{"rendered":"https:\/\/statorials.org\/tr\/ortak-olasilik-dagilimi\/"},"modified":"2023-07-26T22:38:46","modified_gmt":"2023-07-26T22:38:46","slug":"ortak-olasilik-dagilimi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ortak-olasilik-dagilimi\/","title":{"rendered":"Ortak olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131 nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u0130ki y\u00f6nl\u00fc bir frekans tablosu,<\/strong> iki kategorik de\u011fi\u015fken i\u00e7in frekanslar\u0131 (veya &#8220;say\u0131lar\u0131&#8221;) g\u00f6r\u00fcnt\u00fcleyen bir tablodur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, a\u015fa\u011f\u0131daki iki y\u00f6nl\u00fc tablo 100 ki\u015fiye hangi sporu tercih ettiklerini soran bir anketin sonu\u00e7lar\u0131n\u0131 g\u00f6stermektedir: beyzbol, basketbol veya futbol.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Sat\u0131rlar kat\u0131l\u0131mc\u0131n\u0131n cinsiyetini g\u00f6sterirken s\u00fctunlar se\u00e7tikleri sporu belirtir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12767 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/marginal1.png\" alt=\"\" width=\"376\" height=\"149\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnekte iki de\u011fi\u015fken vard\u0131r: Spor ve Cinsiyet.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ortak olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131<\/strong> basit\u00e7e belirli bir bireyin de\u011fi\u015fkenler i\u00e7in iki spesifik de\u011fer almas\u0131 olas\u0131l\u0131\u011f\u0131n\u0131 tan\u0131mlar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">&#8220;Konjonkt\u00fcr&#8221; kelimesi, iki \u015feyin ayn\u0131 anda meydana gelme olas\u0131l\u0131\u011f\u0131yla ilgilenmemizden kaynaklanmaktad\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, toplam 100 ki\u015fiden 13&#8217;\u00fc erkekti <em>ve<\/em> en sevdikleri spor olarak beyzbolu se\u00e7iyordu.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla, belirli bir bireyin erkek olmas\u0131 <em>ve<\/em> en sevdi\u011fi spor olarak beyzbolu se\u00e7mesinin ortak olas\u0131l\u0131\u011f\u0131n\u0131n 13\/100 = <strong>0,13<\/strong> veya <strong>%13<\/strong> oldu\u011funu s\u00f6yleyebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Matematiksel g\u00f6sterimle yaz\u0131lm\u0131\u015ft\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(Cinsiyet = Erkek, Spor = Beyzbol) = 13\/100 = <strong>0,13<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu s\u00fcreci ortak olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131n tamam\u0131n\u0131 hesaplamak i\u00e7in kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P (Cinsiyet = Erkek, Spor = Beyzbol) = 13\/100 = <strong>0,13<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(Cinsiyet = Erkek, Spor = Basketbol) = 15\/100 = <strong>0,15<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(Cinsiyet = Erkek, Spor = Futbol) = 20\/100 = <strong>0,20<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P (Cinsiyet = Kad\u0131n, Spor = Beyzbol) = 23\/100 = <strong>0,23<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(Cinsiyet = Kad\u0131n, Spor = Basketbol) = 16\/100 = <strong>0,16<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(Cinsiyet = Kad\u0131n, Spor = Futbol) = 13\/100 = <strong>0,13<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Olas\u0131l\u0131klar\u0131n toplam\u0131n\u0131n <strong>1&#8217;e<\/strong> veya <strong>%100&#8217;e<\/strong> e\u015fit oldu\u011funu unutmay\u0131n.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Neden ortak olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131 kullanmal\u0131s\u0131n\u0131z?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ortak olas\u0131l\u0131k da\u011f\u0131l\u0131mlar\u0131 faydal\u0131d\u0131r \u00e7\u00fcnk\u00fc s\u0131kl\u0131kla iki de\u011fi\u015fken (spor ve cinsiyet gibi) i\u00e7in veri topluyoruz ve <em>her iki<\/em> de\u011fi\u015fkenle ilgili sorular\u0131 yan\u0131tlamak istiyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir <a href=\"https:\/\/statorials.org\/tr\/populasyon-ve-ornek\/\" target=\"_blank\" rel=\"noopener\">pop\u00fclasyondaki<\/a> belirli bir bireyin erkek olmas\u0131 <em>ve<\/em> en sevdi\u011fi spor olarak beyzbolu tercih etmesi olas\u0131l\u0131\u011f\u0131n\u0131 anlamak isteyebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Veya belirli bir bireyin kad\u0131n olmas\u0131 <em>ve<\/em> en sevdi\u011fi spor olarak futbolu tercih etmesi olas\u0131l\u0131\u011f\u0131n\u0131 anlamakla ilgilenebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ortak olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131 bu sorular\u0131 yan\u0131tlamam\u0131za yard\u0131mc\u0131 olabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ortak olas\u0131l\u0131k da\u011f\u0131l\u0131mlar\u0131n\u0131 daha iyi anlamak i\u00e7in a\u015fa\u011f\u0131daki \u00f6rnekleri pratik olarak kullan\u0131n.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00f6rnek 1<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki iki y\u00f6nl\u00fc tablo, 238 ki\u015fiye ne t\u00fcr filmi tercih ettiklerini soran bir anketin sonu\u00e7lar\u0131n\u0131 sunmaktad\u0131r:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12769 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/marginal3.png\" alt=\"\u0130ki y\u00f6nl\u00fc tabloyla marjinal da\u011f\u0131l\u0131m \u00f6rne\u011fi\" width=\"356\" height=\"137\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Soru:<\/strong> Belirli bir ki\u015finin kad\u0131n olmas\u0131 ve en sevdi\u011fi film t\u00fcr\u00fc olarak dramay\u0131 tercih etmesi olas\u0131l\u0131\u011f\u0131 nedir?<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Cevap:<\/strong> P (Cinsiyet = Kad\u0131n, Cinsiyet = Drama) = 58\/238 = <strong>0,244<\/strong> = <strong>%24,4<\/strong><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki iki y\u00f6nl\u00fc tablo, bir s\u0131n\u0131ftaki 64 \u00f6\u011frencinin ders \u00e7al\u0131\u015farak ge\u00e7irdikleri saat say\u0131s\u0131na g\u00f6re s\u0131nav puanlar\u0131n\u0131 g\u00f6stermektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12770 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/marginal4.png\" alt=\"Marjinal Da\u011f\u0131l\u0131m \u00d6rne\u011fi\" width=\"353\" height=\"199\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Soru:<\/strong> Bir ki\u015finin 2 saat \u00e7al\u0131\u015f\u0131p 91 ile 100 aras\u0131nda not alma olas\u0131l\u0131\u011f\u0131 nedir?<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Cevap:<\/strong> P (\u00c7al\u0131\u015fma = 2 saat, Puan = 91-100) = 3\/64 = <strong>0,047<\/strong> = <strong>%4,7<\/strong><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/marjinal-dagilim\/\" target=\"_blank\" rel=\"noopener\">Marjinal da\u011f\u0131l\u0131m nedir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/cift-yonlu-kosullu-bagil-frekans-tablosu\/\" target=\"_blank\" rel=\"noopener\">\u00c7ift giri\u015fli bir tabloda ko\u015fullu ba\u011f\u0131l frekans nas\u0131l bulunur?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130ki y\u00f6nl\u00fc bir frekans tablosu, iki kategorik de\u011fi\u015fken i\u00e7in frekanslar\u0131 (veya &#8220;say\u0131lar\u0131&#8221;) g\u00f6r\u00fcnt\u00fcleyen bir tablodur. \u00d6rne\u011fin, a\u015fa\u011f\u0131daki iki y\u00f6nl\u00fc tablo 100 ki\u015fiye hangi sporu tercih ettiklerini soran bir anketin sonu\u00e7lar\u0131n\u0131 g\u00f6stermektedir: beyzbol, basketbol veya futbol. Sat\u0131rlar kat\u0131l\u0131mc\u0131n\u0131n cinsiyetini g\u00f6sterirken s\u00fctunlar se\u00e7tikleri sporu belirtir: Bu \u00f6rnekte iki de\u011fi\u015fken vard\u0131r: Spor ve Cinsiyet. Ortak olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131 basit\u00e7e [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-1307","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Ortak olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131 nedir? - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, bir tan\u0131m ve \u00e7e\u015fitli \u00f6rnekler de dahil olmak \u00fczere ortak olas\u0131l\u0131k da\u011f\u0131l\u0131mlar\u0131na basit bir giri\u015f sa\u011flanmaktad\u0131r.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/tr\/ortak-olasilik-dagilimi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Ortak olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131 nedir? 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