{"id":3238,"date":"2023-07-18T12:54:39","date_gmt":"2023-07-18T12:54:39","guid":{"rendered":"https:\/\/statorials.org\/tr\/istatistik-ve-olasilik\/"},"modified":"2023-07-18T12:54:39","modified_gmt":"2023-07-18T12:54:39","slug":"istatistik-ve-olasilik","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/istatistik-ve-olasilik\/","title":{"rendered":"I\u0307statistik ve olas\u0131l\u0131k: fark nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><span style=\"color: #000000;\"><b>Olas\u0131l\u0131k<\/b> ve <b>istatistik,<\/b> sorular\u0131 yan\u0131tlamak i\u00e7in verileri kullanan, ancak biraz farkl\u0131 \u015fekillerde kullanan iki aland\u0131r.<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\"><b>Olas\u0131l\u0131k<\/b> alan\u0131, gelecekteki olaylar\u0131n olas\u0131l\u0131\u011f\u0131n\u0131 tahmin etmek i\u00e7in mevcut bilinen verileri kullan\u0131r.<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6rnek: Bir torbadaki 5 bilyeden 3&#8217;\u00fc k\u0131rm\u0131z\u0131 ise, tekrarlanan \u00e7ekili\u015flerde yerine koymadan iki k\u0131rm\u0131z\u0131 bilyenin \u00e7ekilmesi olas\u0131l\u0131\u011f\u0131 nedir?<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u0130statistik<\/strong> alan\u0131, daha b\u00fcy\u00fck bir n\u00fcfus hakk\u0131nda sonu\u00e7lar \u00e7\u0131karmak i\u00e7in bir \u00f6rneklemden elde edilen verileri kullan\u0131r.<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6rnek: Rastgele 50 kaplumba\u011fadan olu\u015fan bir \u00f6rnek topluyoruz ve her birinin a\u011f\u0131rl\u0131\u011f\u0131n\u0131 \u00f6l\u00e7\u00fcyoruz. Daha sonra \u00f6rnek verileri, o pop\u00fclasyondaki t\u00fcm kaplumba\u011falar\u0131n ger\u00e7ek ortalama a\u011f\u0131rl\u0131\u011f\u0131n\u0131 i\u00e7ermesi muhtemel bir dizi de\u011fer \u00e7\u0131karmak i\u00e7in kullan\u0131r\u0131z.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0130statistiklerin ve olas\u0131l\u0131\u011f\u0131n ger\u00e7ek d\u00fcnya senaryolar\u0131nda nas\u0131l kullan\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6rmek i\u00e7in okumaya devam edin.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u0130statisti\u011fin ger\u00e7ek d\u00fcnyada kullan\u0131m\u0131<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Burada istatistiklerin ger\u00e7ek d\u00fcnya senaryolar\u0131nda nas\u0131l kullan\u0131ld\u0131\u011f\u0131na dair baz\u0131 \u00f6rnekler verilmi\u015ftir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: g\u00fcven aral\u0131klar\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Finans alan\u0131nda \u00e7al\u0131\u015fan istatistik\u00e7iler, farkl\u0131 finansal g\u00f6stergelerin ger\u00e7ek de\u011ferini tahmin etmek i\u00e7in s\u0131kl\u0131kla g\u00fcven aral\u0131klar\u0131n\u0131 kullan\u0131rlar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir istatistik\u00e7i belirli bir \u015fehirdeki rastgele se\u00e7ilen 200 hanenin y\u0131ll\u0131k gelirine ili\u015fkin veri toplayabilir, daha sonra bu \u00f6rneklenmi\u015f verileri o \u015fehirdeki t\u00fcm hanelerin <a href=\"https:\/\/statorials.org\/tr\/ortalama-guven-araligi\/\" target=\"_blank\" rel=\"noopener\">ortalama geliri i\u00e7in bir g\u00fcven aral\u0131\u011f\u0131<\/a> olu\u015fturmak i\u00e7in kullanabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130statistik\u00e7i, bir \u00f6rnekten elde edilen verileri kullanarak, ilgilenilen genel pop\u00fclasyon hakk\u0131nda sonu\u00e7lar \u00e7\u0131karabilir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Hipotez testi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Klinik ortamlarda \u00e7al\u0131\u015fan istatistik\u00e7iler, yeni bir ilac\u0131n daha iyi hasta sonu\u00e7lar\u0131na yol a\u00e7\u0131p a\u00e7mad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in s\u0131kl\u0131kla hipotez testini kullan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir biyoistatist bir ay boyunca 30 hastaya bir tansiyon ilac\u0131 verebilir, ard\u0131ndan ayn\u0131 30 hastaya bir ay daha ikinci bir tansiyon ilac\u0131 verebilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra iki ila\u00e7 aras\u0131nda kan bas\u0131nc\u0131n\u0131n d\u00fc\u015f\u00fcr\u00fclmesinde istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/eslestirilmis-ornekler-t-testi\/\" target=\"_blank\" rel=\"noopener\">e\u015fle\u015ftirilmi\u015f \u00f6rnek t testi<\/a> yapabilirler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130statistik\u00e7i, \u00f6rnek verileri kullanarak genel pop\u00fclasyondaki bu iki ila\u00e7 hakk\u0131nda sonu\u00e7lar \u00e7\u0131karabilir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ger\u00e7ek D\u00fcnyada Olas\u0131l\u0131\u011f\u0131 Kullanmak<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Burada olas\u0131l\u0131\u011f\u0131n ger\u00e7ek d\u00fcnya senaryolar\u0131nda nas\u0131l kullan\u0131ld\u0131\u011f\u0131na dair baz\u0131 \u00f6rnekler verilmi\u015ftir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Do\u011fal afetleri tahmin etmek<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Belirli bir y\u0131lda Kategori 5 kas\u0131rgan\u0131n belirli bir k\u0131y\u0131 b\u00f6lgesini vurma olas\u0131l\u0131\u011f\u0131n\u0131n 0,02 oldu\u011funu bildi\u011fimizi varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu bilen bir yerel y\u00f6netim, \u00f6n\u00fcm\u00fczdeki 10 y\u0131l i\u00e7inde a\u015fa\u011f\u0131daki kas\u0131rga t\u00fcrlerinden <a href=\"https:\/\/statorials.org\/tr\/en-az-bir-basari-olasiligi\/\" target=\"_blank\" rel=\"noopener\">en az birinin meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131<\/a> tahmin edebilir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(en az bir ba\u015far\u0131) = 1 \u2013 P(belirli bir testte ba\u015far\u0131s\u0131zl\u0131k) <sup>n<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\">P (en az bir ba\u015far\u0131) = 1 \u2013 (0,98) <sup>10<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\">P (en az bir ba\u015far\u0131): 0,18293<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6n\u00fcm\u00fczdeki 10 y\u0131l i\u00e7inde bu t\u00fcr kas\u0131rgalardan en az birinin meydana gelme olas\u0131l\u0131\u011f\u0131 <strong>0,18293&#8217;t\u00fcr<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yerel y\u00f6netim, mevcut bilinen verileri kullanarak gelecekteki olaylar\u0131n olas\u0131l\u0131\u011f\u0131n\u0131 tahmin edebilir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: kart oyunlar\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Profesyonel poker oyuncular\u0131 genellikle oyun s\u0131ras\u0131nda belirli kartlar\u0131n devredilme olas\u0131l\u0131\u011f\u0131n\u0131 tahmin etmek i\u00e7in olas\u0131l\u0131\u011f\u0131 kullan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, standart 52 kartl\u0131k bir destede 4 papaz vard\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Diyelim ki poker oyuncusu, da\u011f\u0131t\u0131lan ilk 26 karttan 3&#8217;\u00fcn\u00fcn zaten da\u011f\u0131t\u0131ld\u0131\u011f\u0131n\u0131 biliyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra a\u015fa\u011f\u0131daki karttan papaz gelme olas\u0131l\u0131\u011f\u0131n\u0131 hesaplayabilirler:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(kral) = papaz say\u0131s\u0131 \/ kalan kart say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(kral) = 1\/26<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(kral) = 0,038<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bir sonraki kart\u0131n papaz olma olas\u0131l\u0131\u011f\u0131 yakla\u015f\u0131k <strong>0,038&#8217;dir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Mevcut bilinen verileri kullanarak poker oyuncusu gelecekteki belirli bir olay\u0131n olas\u0131l\u0131\u011f\u0131n\u0131 tahmin edebilir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00c7\u00f6z\u00fcm<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u0130statistik ve olas\u0131l\u0131k, sorular\u0131 yan\u0131tlamak i\u00e7in verileri farkl\u0131 \u015fekillerde kullanan iki aland\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><b>Olas\u0131l\u0131k<\/b> alan\u0131, gelecekteki olaylar\u0131n olas\u0131l\u0131\u011f\u0131n\u0131 tahmin etmek i\u00e7in mevcut bilinen verileri kullan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0130statistik<\/strong> alan\u0131, daha b\u00fcy\u00fck bir n\u00fcfus hakk\u0131nda sonu\u00e7lar \u00e7\u0131karmak i\u00e7in bir \u00f6rneklemden elde edilen verileri kullan\u0131r.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki makaleler \u00e7e\u015fitli alanlarda istatisti\u011fin \u00f6nemini a\u00e7\u0131klamaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/istatistikler-neden-onemlidir\/\" target=\"_blank\" rel=\"noopener\">\u0130statistikler neden \u00f6nemlidir? (\u0130statisti\u011fin \u00f6nemli olmas\u0131n\u0131n 10 nedeni!)<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\" target=\"_blank\" rel=\"noopener\">\u0130\u015fletmelerde istatisti\u011fin \u00f6nemi<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/egitimde-istatistigin-onemi\/\" target=\"_blank\" rel=\"noopener\">E\u011fitimde istatisti\u011fin \u00f6nemi<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/saglik-hizmetlerinde-istatistigin-onemi\/\" target=\"_blank\" rel=\"noopener\">Sa\u011fl\u0131kta istatisti\u011fin \u00f6nemi<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/finansta-istatistigin-onemi\/\" target=\"_blank\" rel=\"noopener\">Finansta istatisti\u011fin \u00f6nemi<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Olas\u0131l\u0131k ve istatistik, sorular\u0131 yan\u0131tlamak i\u00e7in verileri kullanan, ancak biraz farkl\u0131 \u015fekillerde kullanan iki aland\u0131r. Olas\u0131l\u0131k alan\u0131, gelecekteki olaylar\u0131n olas\u0131l\u0131\u011f\u0131n\u0131 tahmin etmek i\u00e7in mevcut bilinen verileri kullan\u0131r. \u00d6rnek: Bir torbadaki 5 bilyeden 3&#8217;\u00fc k\u0131rm\u0131z\u0131 ise, tekrarlanan \u00e7ekili\u015flerde yerine koymadan iki k\u0131rm\u0131z\u0131 bilyenin \u00e7ekilmesi olas\u0131l\u0131\u011f\u0131 nedir? \u0130statistik alan\u0131, daha b\u00fcy\u00fck bir n\u00fcfus hakk\u0131nda sonu\u00e7lar \u00e7\u0131karmak i\u00e7in [&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-3238","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>\u0130statistik ve Olas\u0131l\u0131k: Fark Nedir? 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