{"id":580,"date":"2023-07-29T10:49:15","date_gmt":"2023-07-29T10:49:15","guid":{"rendered":"https:\/\/statorials.org\/tr\/kosullu-olasilik-excel\/"},"modified":"2023-07-29T10:49:15","modified_gmt":"2023-07-29T10:49:15","slug":"kosullu-olasilik-excel","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/kosullu-olasilik-excel\/","title":{"rendered":"Excel&#39;de ko\u015fullu olas\u0131l\u0131k nas\u0131l hesaplan\u0131r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><em>B<\/em> olay\u0131n\u0131n meydana geldi\u011fi dikkate al\u0131nd\u0131\u011f\u0131nda, <em>A<\/em> olay\u0131n\u0131n ger\u00e7ekle\u015fmesinin <strong>ko\u015fullu olas\u0131l\u0131\u011f\u0131<\/strong> a\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(A|B) = P(A\u2229B) \/ P(B)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(A\u2229B) = <em>A<\/em> olay\u0131n\u0131n ve <em>B<\/em> olay\u0131n\u0131n her ikisinin de meydana gelme olas\u0131l\u0131\u011f\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(B) = B olay\u0131n\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu form\u00fcl, iki kategorik de\u011fi\u015fkenin frekanslar\u0131n\u0131 (veya &#8220;say\u0131lar\u0131n\u0131&#8221;) g\u00f6r\u00fcnt\u00fcleyen bir tablo olan iki y\u00f6nl\u00fc bir tablo i\u00e7in olas\u0131l\u0131klar\u0131 hesaplarken \u00f6zellikle yararl\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, a\u015fa\u011f\u0131daki iki y\u00f6nl\u00fc tablo 300 ki\u015fiye hangi sporu tercih ettiklerini soran bir anketin sonu\u00e7lar\u0131n\u0131 g\u00f6stermektedir: beyzbol, basketbol, futbol veya futbol. 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-5259 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/condprob0.png\" alt=\"Excel'de \u00c7ift Y\u00f6nl\u00fc Frekans Tablosu \u00d6rne\u011fi\" width=\"475\" height=\"116\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu <em>iki y\u00f6nl\u00fc<\/em> bir tablo \u00e7\u00fcnk\u00fc iki <a href=\"https:\/\/statorials.org\/tr\/kategorik-ve-niceliksel\/\" target=\"_blank\" rel=\"noopener\">kategorik de\u011fi\u015fkenimiz<\/a> var: cinsiyet ve favori spor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra Excel&#8217;de iki y\u00f6nl\u00fc tablolar i\u00e7in ko\u015fullu olas\u0131l\u0131klar\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterece\u011fiz.<\/span><\/p>\n<h2> <strong><span style=\"color: #000000;\">Excel&#8217;de Ko\u015fullu Olas\u0131l\u0131k Nas\u0131l Hesaplan\u0131r<\/span><\/strong><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki gibi sorular\u0131 yan\u0131tlamak istedi\u011fimizi varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>&#8220;En sevdi\u011fi sporun beyzbol oldu\u011fu g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, kat\u0131l\u0131mc\u0131n\u0131n erkek olma olas\u0131l\u0131\u011f\u0131 nedir?&#8221; \u00bb<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">Cevab\u0131 ko\u015fullu olas\u0131l\u0131k form\u00fcl\u00fcn\u00fc kullanarak bulabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(erkek|beyzbol) = P(erkek\u2229beyzbol) \/ P(beyzbol) = (34\/300) \/ (68\/300) = <strong>0,5<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla, en sevdi\u011fi sporun beyzbol oldu\u011fu g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, yan\u0131t verenin erkek olma olas\u0131l\u0131\u011f\u0131 0,5&#8217;tir (ya da %50).<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tablodaki di\u011fer senaryolar i\u00e7in de benzer bir form\u00fcl kullanarak ko\u015fullu olas\u0131l\u0131klar\u0131 hesaplayabiliriz. A\u015fa\u011f\u0131daki resim, kullan\u0131lan form\u00fclle birlikte tablodaki her bir ko\u015fullu olas\u0131l\u0131\u011f\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5275 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/condprob1.png\" alt=\"Excel'de Ko\u015fullu Olas\u0131l\u0131klar\" width=\"618\" height=\"553\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Her ko\u015fullu olas\u0131l\u0131k hesaplamas\u0131 i\u00e7in, yaln\u0131zca P(A|B) = P(A\u2229B) \/ P(B) ko\u015fullu olas\u0131l\u0131k form\u00fcl\u00fcn\u00fc kulland\u0131\u011f\u0131m\u0131z\u0131 unutmay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir kat\u0131l\u0131mc\u0131n\u0131n kad\u0131n oldu\u011fu g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda en sevdi\u011fi sporun futbol olma olas\u0131l\u0131\u011f\u0131 \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(futbol|kad\u0131n) = P(futbol\u2229kad\u0131n) \/ P(kad\u0131n)<\/span><\/p>\n<p> <span style=\"color: #000000;\">300 kat\u0131l\u0131mc\u0131dan tam olarak 44&#8217;\u00fc kad\u0131nd\u0131r <em>ve<\/em> en sevdikleri spor olarak futbolu tercih etmektedir, dolay\u0131s\u0131yla P(futbol\u2229kad\u0131n) = 44\/300.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ve 300 kat\u0131l\u0131mc\u0131n\u0131n 150&#8217;si kad\u0131n, yani P(kad\u0131n) = 150\/300.<\/span><\/p>\n<p> <span style=\"color: #000000;\">B\u00f6ylece, P(futbol|kad\u0131n) = P(futbol\u2229kad\u0131n) \/ P(kad\u0131n) = (44\/300) \/ (150\/300) = <strong>0,2933<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her ko\u015fullu olas\u0131l\u0131k senaryosu i\u00e7in benzer bir hesaplama yap\u0131yoruz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> \u00c7ift giri\u015fli bir tabloda ko\u015fullu ba\u011f\u0131l frekans nas\u0131l bulunur?<br \/> <a href=\"https:\/\/statorials.org\/tr\/kosullu-dagitim\/\" target=\"_blank\" rel=\"noopener\">\u0130statistikte ko\u015fullu da\u011f\u0131l\u0131m nedir?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>B olay\u0131n\u0131n meydana geldi\u011fi dikkate al\u0131nd\u0131\u011f\u0131nda, A olay\u0131n\u0131n ger\u00e7ekle\u015fmesinin ko\u015fullu olas\u0131l\u0131\u011f\u0131 a\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r: P(A|B) = P(A\u2229B) \/ P(B) Alt\u0131n: P(A\u2229B) = A olay\u0131n\u0131n ve B olay\u0131n\u0131n her ikisinin de meydana gelme olas\u0131l\u0131\u011f\u0131. P(B) = B olay\u0131n\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131. Bu form\u00fcl, iki kategorik de\u011fi\u015fkenin frekanslar\u0131n\u0131 (veya &#8220;say\u0131lar\u0131n\u0131&#8221;) g\u00f6r\u00fcnt\u00fcleyen bir tablo olan iki y\u00f6nl\u00fc bir [&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-580","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>Excel&#039;de ko\u015fullu olas\u0131l\u0131k nas\u0131l hesaplan\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Birka\u00e7 \u00f6rnek de dahil olmak \u00fczere Excel&#039;de ko\u015fullu olas\u0131l\u0131klar\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair basit bir a\u00e7\u0131klama.\" \/>\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\/kosullu-olasilik-excel\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Excel&#039;de ko\u015fullu olas\u0131l\u0131k nas\u0131l hesaplan\u0131r - 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