{"id":385,"date":"2023-08-01T09:16:04","date_gmt":"2023-08-01T09:16:04","guid":{"rendered":"https:\/\/statorials.org\/tr\/istatistiksel-olay\/"},"modified":"2023-08-01T09:16:04","modified_gmt":"2023-08-01T09:16:04","slug":"istatistiksel-olay","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/istatistiksel-olay\/","title":{"rendered":"I\u0307statistiksel olay"},"content":{"rendered":"<p>Bu yaz\u0131da istatistiksel olaylar\u0131n ne oldu\u011funu a\u00e7\u0131kl\u0131yoruz. B\u00f6ylece istatistikte bir olay\u0131n tan\u0131m\u0131n\u0131, farkl\u0131 istatistiksel olay t\u00fcrlerinin neler oldu\u011funu ve bir olay\u0131n olas\u0131l\u0131\u011f\u0131n\u0131n istatistikte nas\u0131l hesapland\u0131\u011f\u0131n\u0131 bulacaks\u0131n\u0131z. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-un-evento-estadistico\"><\/span> \u0130statistiksel olay nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Olas\u0131l\u0131k teorisinde <strong>istatistiksel bir olay<\/strong> , <a href=\"https:\/\/statorials.org\/tr\/rastgele-deneyim\/\">rastgele bir deneyin<\/a> olas\u0131 sonu\u00e7lar\u0131n\u0131n her birine kar\u015f\u0131l\u0131k gelir.<\/p>\n<p> \u00d6rne\u011fin, bir zar\u0131n at\u0131lmas\u0131yla ilgili istatistiksel bir olay &#8220;5 say\u0131s\u0131n\u0131 almak&#8221; veya &#8220;2 say\u0131s\u0131n\u0131 almak&#8221; ba\u015fka bir istatistiksel olayd\u0131r.<\/p>\n<p> \u0130statistiksel bir olaya <strong>istatistiksel olay<\/strong> da denir.<\/p>\n<p> Bu nedenle bir deneydeki istatistiksel olaylar\u0131n k\u00fcmesi \u00f6rnek uzay\u0131 olu\u015fturur. <\/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<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-eventos-estadisticos\"><\/span> \u0130statistiksel olaylara \u00f6rnekler<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistiksel bir olay\u0131n tan\u0131m\u0131n\u0131 \u00f6\u011frendikten sonra, kavram\u0131 anlamay\u0131 tamamlamak i\u00e7in istatistiksel olaylar\u0131n birka\u00e7 \u00f6rne\u011fini g\u00f6rece\u011fiz.<\/p>\n<p> \u00d6rne\u011fin, bir zar\u0131n at\u0131lmas\u0131yla ilgili rastgele bir deneyde, y\u00fcz\u00fc yukar\u0131 bakacak \u015fekilde 1, 2, 3, 4, 5 veya 6 olmak \u00fczere alt\u0131 olas\u0131 olay vard\u0131r.<\/p>\n<p> Olas\u0131l\u0131k teorisinin \u00e7ok tipik bir ba\u015fka \u00f6rne\u011fi de yaz\u0131 veya tura gelebilen yaz\u0131 tura at\u0131lmas\u0131d\u0131r. Dolay\u0131s\u0131yla bu deneyde iki olas\u0131 istatistiksel olay vard\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-eventos-estadisticos\"><\/span>\u0130statistiksel olay t\u00fcrleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0130statistiksel olay t\u00fcrleri<\/strong> :<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Temel olay (veya basit olay):<\/strong> deneyin olas\u0131 sonu\u00e7lar\u0131n\u0131n her biri.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Bile\u015fik olay:<\/strong> \u00f6rnek uzay\u0131n alt k\u00fcmesi.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Kesin Olay:<\/strong> Bu her zaman meydana gelecek rastgele bir deneyimin sonucudur.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u0130mkans\u0131z Olay:<\/strong> Bu hi\u00e7bir zaman ger\u00e7ekle\u015fmeyecek rastgele bir deneyin sonucudur.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Uyumlu olaylar:<\/strong> Ortak bir temel olaya sahip olan iki olay uyumludur.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Uyumsuz olaylar:<\/strong> Herhangi bir temel olay\u0131 payla\u015fmad\u0131klar\u0131nda iki olay uyumsuzdur.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Ba\u011f\u0131ms\u0131z Olaylar:<\/strong> Birinin ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 di\u011ferinin olas\u0131l\u0131\u011f\u0131n\u0131 etkilemiyorsa iki olay ba\u011f\u0131ms\u0131zd\u0131r.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Ba\u011f\u0131ml\u0131 olaylar:<\/strong> \u0130ki olaydan birinin ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 di\u011ferinin ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131n\u0131 de\u011fi\u015ftiriyorsa bu olaylar ba\u011f\u0131ml\u0131d\u0131r.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Birbirine ayk\u0131r\u0131 olay:<\/strong> Di\u011fer olay meydana gelmedi\u011finde meydana gelen olay.<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"probabilidad-de-un-evento\"><\/span> bir olay\u0131n olas\u0131l\u0131\u011f\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong><a href=\"https:\/\/statorials.org\/tr\/bir-olayin-olasiligi\/\">Bir olay\u0131n olas\u0131l\u0131\u011f\u0131,<\/a><\/strong> istatistiksel bir olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131 g\u00f6steren bir de\u011ferdir.<\/p>\n<p> \u0130statistiklerde bir olay\u0131n olas\u0131l\u0131k de\u011feri 0 (imkans\u0131z olay) ile 1 (kesin olay) aras\u0131nda de\u011fi\u015fir, olay\u0131n olas\u0131l\u0131\u011f\u0131 ne kadar y\u00fcksekse ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 da o kadar y\u00fcksektir.<\/p>\n<p> \u0130statistiksel bir olay\u0131n olas\u0131l\u0131\u011f\u0131, bir olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131n olumlu durumlar\u0131n say\u0131s\u0131n\u0131n toplam olas\u0131 durum say\u0131s\u0131na b\u00f6l\u00fcnmesine e\u015fit olan Laplace kural\u0131na g\u00f6re hesaplan\u0131r.<\/p>\n<p> Bu nedenle <strong>istatistiksel bir olay\u0131n olas\u0131l\u0131\u011f\u0131 form\u00fcl\u00fc<\/strong> \u015fu \u015fekildedir: <\/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-d3b5a3fd8897ec1933cfc654566b84dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A)=\\cfrac{\\text{casos favorables}}{\\text{casos posibles}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"190\" style=\"vertical-align: -16px;\"><\/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\/olasiliklarin-hesaplanmasi\/\">Olas\u0131l\u0131k nas\u0131l hesaplan\u0131r<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu yaz\u0131da istatistiksel olaylar\u0131n ne oldu\u011funu a\u00e7\u0131kl\u0131yoruz. B\u00f6ylece istatistikte bir olay\u0131n tan\u0131m\u0131n\u0131, farkl\u0131 istatistiksel olay t\u00fcrlerinin neler oldu\u011funu ve bir olay\u0131n olas\u0131l\u0131\u011f\u0131n\u0131n istatistikte nas\u0131l hesapland\u0131\u011f\u0131n\u0131 bulacaks\u0131n\u0131z. \u0130statistiksel olay nedir? Olas\u0131l\u0131k teorisinde istatistiksel bir olay , rastgele bir deneyin olas\u0131 sonu\u00e7lar\u0131n\u0131n her birine kar\u015f\u0131l\u0131k gelir. \u00d6rne\u011fin, bir zar\u0131n at\u0131lmas\u0131yla ilgili istatistiksel bir olay &#8220;5 say\u0131s\u0131n\u0131 almak&#8221; [&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-385","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>\u25b7 \u0130statistiksel olay<\/title>\n<meta name=\"description\" content=\"Burada istatistiksel bir olay\u0131n ne oldu\u011funu, istatistiksel olay t\u00fcrlerini, \u00f6rneklerini ve bir olay\u0131n olas\u0131l\u0131\u011f\u0131n\u0131n 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