{"id":359,"date":"2023-08-01T21:56:19","date_gmt":"2023-08-01T21:56:19","guid":{"rendered":"https:\/\/statorials.org\/tr\/rastgele-deneyim\/"},"modified":"2023-08-01T21:56:19","modified_gmt":"2023-08-01T21:56:19","slug":"rastgele-deneyim","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rastgele-deneyim\/","title":{"rendered":"Rastgele deney"},"content":{"rendered":"<p>Bu makalede rastgele deneylerin ne oldu\u011fu ve \u00f6zelliklerinin neler oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. Ayr\u0131ca rastgele deney \u00f6rneklerini g\u00f6rebileceksiniz ve ayr\u0131ca \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rma ile pratik yapabileceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-un-experimento-aleatorio\"><\/span> Rastgele deney nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Rastgele bir deney,<\/strong> belirsizli\u011fin oldu\u011fu, yani rastgele bir deneyde sonucun tahmin edilemedi\u011fi bir deneydir.<\/p>\n<p> \u00d6rne\u011fin, bir zar\u0131n at\u0131lmas\u0131 rastgele bir deneyimdir, \u00e7\u00fcnk\u00fc bu ger\u00e7ekle\u015fene kadar deneyin sonucunun ne olaca\u011f\u0131n\u0131 bilemezsiniz.<\/p>\n<p> Dolay\u0131s\u0131yla rastgele deneyler, deney ayn\u0131 ko\u015fullar alt\u0131nda yap\u0131lsa bile farkl\u0131 sonu\u00e7larla sonu\u00e7lanabilir. \u00d6rne\u011fi tekrar kullanacak olursak, zarlar\u0131 herhangi bir d\u0131\u015f unsurun kat\u0131l\u0131m\u0131 olmadan iki kez atsan\u0131z bile elde edilen sonu\u00e7 farkl\u0131 olabilir.<\/p>\n<p> Hangi sonucun ger\u00e7ekle\u015fece\u011fini bilemeseniz de, rastgele bir deneyin olas\u0131 sonu\u00e7lar\u0131n\u0131n ortaya \u00e7\u0131kma olas\u0131l\u0131klar\u0131n\u0131 hesaplayabilir, yani ilgili form\u00fclleri kullanarak hangi sonucun ortaya \u00e7\u0131kma olas\u0131l\u0131\u011f\u0131n\u0131n en y\u00fcksek, hangisinin en az olas\u0131 oldu\u011funu belirleyebilirsiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-experimentos-aleatorios\"><\/span> Rastgelele\u015ftirilmi\u015f deney \u00f6rnekleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Rastgele deneyin tan\u0131m\u0131n\u0131 g\u00f6rd\u00fckten sonra, kavram\u0131 tam olarak anlamak i\u00e7in bu t\u00fcr deneylerin birka\u00e7 \u00f6rne\u011fini g\u00f6rece\u011fiz.<\/p>\n<p> <strong><u style=\"text-decoration-color:#FF8A05\"><strong>Rastgele deney \u00f6rnekleri:<\/strong><\/u><\/strong><\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u00c7ekili\u015f.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Desteden bir kart \u00e7ekin.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Piyango.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Zarlar\u0131n at\u0131lmas\u0131.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Farkl\u0131 renkteki toplarla dolu bir kutuya bir top \u00e7izin.<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-experimentos-aleatorios\"><\/span> Rastgele Deney T\u00fcrleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Rastgele deney t\u00fcrleri<\/strong> :<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Sonlu rastgele deney<\/strong> : Deneyin t\u00fcm olas\u0131 sonu\u00e7lar\u0131 \u00f6nceden bilinmektedir.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Sonsuz Rastgele Deney<\/strong> : Olas\u0131 sonu\u00e7lar\u0131n toplam say\u0131s\u0131 bilinmiyor.<\/span><\/li>\n<\/ul>\n<p> \u00d6rne\u011fin, yaz\u0131 tura atmak sonlu rastgele bir deneydir, meydana gelebilecek sonu\u00e7lar deney yap\u0131lmadan \u00f6nce bilindi\u011finden sonu\u00e7 &#8220;tura&#8221; veya &#8220;yaz\u0131&#8221; olabilir.<\/p>\n<p> Bunun aksine, bir s\u0131n\u0131fta rastgele se\u00e7ilen bir \u00f6\u011frencinin a\u011f\u0131rl\u0131\u011f\u0131, sonu\u00e7 herhangi bir pozitif ger\u00e7ek say\u0131 olabilece\u011finden, sonsuz bir rastgele deneydir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"espacio-muestral-de-un-experimento-aleatorio\"><\/span> Rastgele bir deneyin \u00f6rnek uzay\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Rastgele bir deneyin \u00f6rnek uzay\u0131,<\/strong> deneyi ger\u00e7ekle\u015ftirirken ortaya \u00e7\u0131kabilecek sonu\u00e7lar k\u00fcmesidir; yani \u00f6rnek uzay, rastgele bir deneyin t\u00fcm olas\u0131 sonu\u00e7lar\u0131ndan olu\u015fur.<\/p>\n<p> Yunan b\u00fcy\u00fck harfi Omega (\u03a9), rastgele bir deneyin \u00f6rnek uzay\u0131n\u0131 temsil etmek i\u00e7in yayg\u0131n olarak bir sembol olarak kullan\u0131l\u0131r.<\/p>\n<p> \u00d6rne\u011fin, bir zar\u0131n at\u0131lmas\u0131 deneyinin \u00f6rnek uzay\u0131 zar\u0131n y\u00fcz\u00fcndeki say\u0131lardan (1, 2, 3, 4, 5, 6) olu\u015fur, \u00e7\u00fcnk\u00fc bunlar\u0131n hepsi olas\u0131 sonu\u00e7lard\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-b3ad0ac057b6cd7e3d3db78b556249a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Omega=\\{1,2,3,4,5,6\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"146\" style=\"vertical-align: -5px;\"><\/p>\n<\/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\/ornek-uzay-1\/\">\u00d6rnek uzay t\u00fcrleri<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"experimento-aleatorio-y-experimento-determinista\"><\/span> Rastgele deney ve deterministik deney<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bu b\u00f6l\u00fcmde rastgele deney ile deterministik deney aras\u0131ndaki fark\u0131 g\u00f6rece\u011fiz \u00e7\u00fcnk\u00fc bunlar\u0131n her ikisi de olas\u0131l\u0131k teorisinde var olan deney t\u00fcrleridir.<\/p>\n<p> Deterministik bir deney, sonucu ger\u00e7ekle\u015ftirilmeden \u00f6nce tahmin edilebilen bir deneydir. Bu nedenle deterministik bir deney, ayn\u0131 ko\u015fullar alt\u0131nda tekrarland\u0131\u011f\u0131nda ayn\u0131 sonucu veren deneydir.<\/p>\n<p> <strong>Rastgele bir deney ile deterministik bir deney aras\u0131ndaki fark<\/strong> , rastgele bir deneyde sonucun tahmin edilememesi, deterministik bir deneyde ise deneyin sonucunun \u00f6nceden bilinmesidir. <\/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\/deterministik-deney\/\">Deterministik deney<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicio-resuelto-de-experimentos-aleatorios\"><\/span> \u00c7\u00f6z\u00fclm\u00fc\u015f Rastgele Deneyler Al\u0131\u015ft\u0131rmas\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A\u015fa\u011f\u0131daki deneylerden hangilerinin rastgele deneyler, hangilerinin deterministik deneyler oldu\u011funu belirtin.<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:14px\"> <span style=\"color:#101010;font-weight: normal;\">Yaz\u0131 tura att\u0131\u011f\u0131n\u0131zda yaz\u0131 m\u0131 yoksa tura m\u0131 gelece\u011finizi bilin.<\/span><\/li>\n<li style=\"margin-bottom:14px\"> <span style=\"color:#101010;font-weight: normal;\">Saatte 50 km sabit h\u0131zla giden bir arac\u0131n 100 km yol almas\u0131 i\u00e7in gereken s\u00fcre.<\/span><\/li>\n<li style=\"margin-bottom:14px\"> <span style=\"color:#101010;font-weight: normal;\">Yar\u0131n\u0131n hava durumunu bilin.<\/span><\/li>\n<li style=\"margin-bottom:14px\"> <span style=\"color:#101010;font-weight: normal;\">7&#8217;yi 2 ile \u00e7arpman\u0131n sonucu.<\/span><\/li>\n<li style=\"margin-bottom:14px\"> <span style=\"color:#101010;font-weight: normal;\">Normal bir kart destesindeki kart\u0131n say\u0131s\u0131n\u0131 belirler.<\/span><\/li>\n<li style=\"margin-bottom:14px\"> <span style=\"color:#101010;font-weight: normal;\">Bir finansal yat\u0131r\u0131m\u0131n getirisini tahmin etmek.<\/span> <\/li>\n<\/ol>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__FFF8E1\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#FFF8E1\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u00c7\u00f6z\u00fcm\u00fc g\u00f6r\u00fcn<\/strong> <\/div>\n<\/div>\n<ol style=\"color:#FF8A05; font-weight: bold; text-align:left\">\n<li style=\"margin-bottom:14px\"> <span style=\"color:#101010;font-weight: normal;\">Rastgele deney.<\/span><\/li>\n<li style=\"margin-bottom:14px\"> <span style=\"color:#101010;font-weight: normal;\">Deterministik deney.<\/span><\/li>\n<li style=\"margin-bottom:14px\"> <span style=\"color:#101010;font-weight: normal;\">Rastgele deney.<\/span><\/li>\n<li style=\"margin-bottom:14px\"> <span style=\"color:#101010;font-weight: normal;\">Deterministik deney.<\/span><\/li>\n<li style=\"margin-bottom:14px\"> <span style=\"color:#101010;font-weight: normal;\">Rastgele deney.<\/span><\/li>\n<li style=\"margin-bottom:14px\"> <span style=\"color:#101010;font-weight: normal;\">Rastgele deney.<\/span><\/li>\n<\/ol>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede rastgele deneylerin ne oldu\u011fu ve \u00f6zelliklerinin neler oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. Ayr\u0131ca rastgele deney \u00f6rneklerini g\u00f6rebileceksiniz ve ayr\u0131ca \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rma ile pratik yapabileceksiniz. Rastgele deney nedir? Rastgele bir deney, belirsizli\u011fin oldu\u011fu, yani rastgele bir deneyde sonucun tahmin edilemedi\u011fi bir deneydir. \u00d6rne\u011fin, bir zar\u0131n at\u0131lmas\u0131 rastgele bir deneyimdir, \u00e7\u00fcnk\u00fc bu ger\u00e7ekle\u015fene kadar deneyin sonucunun ne [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-359","post","type-post","status-publish","format-standard","hentry","category-istatistik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Rastgele deney nedir? 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