{"id":22,"date":"2023-08-06T17:49:27","date_gmt":"2023-08-06T17:49:27","guid":{"rendered":"https:\/\/statorials.org\/tr\/ornek-uzay-1\/"},"modified":"2023-08-06T17:49:27","modified_gmt":"2023-08-06T17:49:27","slug":"ornek-uzay-1","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ornek-uzay-1\/","title":{"rendered":"\u00d6rnek uzay"},"content":{"rendered":"<p>Burada \u00f6rnek uzay\u0131n ne oldu\u011funu a\u00e7\u0131klayaca\u011f\u0131z ve size birka\u00e7 \u00f6rnek uzay \u00f6rne\u011fi g\u00f6sterece\u011fiz. Ayr\u0131ca t\u00fcm \u00f6rnek uzay t\u00fcrlerinin ne oldu\u011funu ve \u00f6rnek uzay ile di\u011fer olas\u0131l\u0131k kavramlar\u0131 aras\u0131ndaki farklar\u0131 \u00f6\u011freneceksiniz.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-espacio-muestral\"><\/span> \u00d6rnek uzay nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u00d6rnekleme<\/strong> alan\u0131 olarak da adland\u0131r\u0131lan <strong>\u00f6rnek uzay<\/strong> , rastgele bir deneydeki temel olaylar k\u00fcmesidir. Yani \u00f6rneklem uzay\u0131 rastgele bir deneyin t\u00fcm olas\u0131 sonu\u00e7lar\u0131n\u0131 temsil eder.<\/p>\n<p> \u00d6rnek uzay\u0131n sembol\u00fc b\u00fcy\u00fck Yunan harfi Omega&#8217;d\u0131r (\u03a9), ancak b\u00fcy\u00fck E harfiyle de temsil edilebilir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-espacios-muestrales\"><\/span> \u00d6rnek uzay \u00f6rnekleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u00d6rnek uzay\u0131n tan\u0131m\u0131n\u0131 dikkate alarak a\u015fa\u011f\u0131da birka\u00e7 \u00f6rnek a\u00e7\u0131klayaca\u011f\u0131z. Bu \u015fekilde herhangi bir olas\u0131l\u0131k egzersizinden \u00f6rnek uzay\u0131 nas\u0131l \u00e7\u0131karaca\u011f\u0131n\u0131z\u0131 bileceksiniz. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"espacio-muestral-de-un-dado\"><\/span> bir matrisin \u00f6rnek uzay\u0131<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Bir zar\u0131n \u00f6rnek uzay\u0131,<\/strong> bir zar\u0131n yuvarlanmas\u0131yla elde edilebilecek t\u00fcm sonu\u00e7lara kar\u015f\u0131l\u0131k gelir. Bu nedenle bir zar\u0131n yuvarlanmas\u0131 i\u00e7in \u00f6rnek uzay 1, 2, 3, 4, 5 veya 6&#8217;d\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<p> Bir zar\u0131n \u00f6rnek uzay\u0131ndaki alt\u0131 temel olay\u0131n uyumsuz oldu\u011funa veya ba\u015fka bir deyi\u015fle zar\u0131n bir y\u00fcz\u00fcn\u00fc \u00e7\u0131kard\u0131\u011f\u0131m\u0131zda ba\u015fka bir y\u00fcz elde edemeyece\u011fimize dikkat edin. Ayr\u0131ca t\u00fcm olaylar e\u015fit olas\u0131l\u0131kl\u0131d\u0131r. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"espacio-muestral-de-dos-dados\"><\/span>\u0130ki zar\u0131n \u00f6rnek uzay\u0131<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u0130ki zar \u00f6rnek alan\u0131,<\/strong> iki zar\u0131n ayn\u0131 anda at\u0131lmas\u0131yla elde edilebilecek t\u00fcm kombinasyonlara kar\u015f\u0131l\u0131k gelir. Bu nedenle iki zar\u0131n \u00f6rnek uzay\u0131 36 elemandan olu\u015fur.<\/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-49aee684b04cea9e72f125f970466541_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Omega=\\{(1,1),(1,2),(1,3),\\ldots ,(6,4),(6,5),(6,6)\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"361\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Parantez i\u00e7indeki ilk say\u0131, birinci zar\u0131n att\u0131\u011f\u0131 say\u0131y\u0131, parantez i\u00e7indeki ikinci say\u0131 ise ikinci zar\u0131n say\u0131s\u0131n\u0131 temsil eder.<\/p>\n<p> Her kombinasyonun gelme olas\u0131l\u0131\u011f\u0131 ayn\u0131 olsa da, baz\u0131 sonu\u00e7lar\u0131n tekrar etmesi nedeniyle belirli bir say\u0131n\u0131n gelme olas\u0131l\u0131\u011f\u0131n\u0131n farkl\u0131 oldu\u011funu unutmay\u0131n. \u00d6rne\u011fin 7 rakam\u0131n\u0131n ortaya \u00e7\u0131kma olas\u0131l\u0131\u011f\u0131 y\u00fcksektir. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"espacio-muestral-de-una-moneda\"><\/span> Bir k\u00f6\u015fenin \u00f6rnek uzay\u0131<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Bir madeni paran\u0131n \u00f6rnek uzay\u0131<\/strong> yaln\u0131zca iki temel olaydan olu\u015fur, \u00e7\u00fcnk\u00fc bir madeni para at\u0131ld\u0131\u011f\u0131nda yaln\u0131zca yaz\u0131 veya tura gelebilir.<\/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-19797ad1d4086bf04d4175b2b72ebe45_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Omega=\\{\\text{cara},\\text{cruz}\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Bu nedenle, bir par\u00e7an\u0131n \u00f6rnek uzay\u0131ndaki iki olas\u0131 olay\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 ayn\u0131d\u0131r, yani %50. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"espacio-muestral-de-dos-monedas\"><\/span> \u0130ki para birimi \u00f6rnek alan\u0131<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u0130ki madeni para \u00f6rnek alan\u0131<\/strong> d\u00f6rt temel olaydan olu\u015fur, \u00e7\u00fcnk\u00fc her para at\u0131ld\u0131\u011f\u0131nda iki olas\u0131 olay vard\u0131r. Bu nedenle iki para biriminin \u00f6rnek uzay\u0131<meta charset=\"utf-8\"> \u03a9={(tura, yaz\u0131), (tura, yaz\u0131), (tura, yaz\u0131), (tura, yaz\u0131)}. <\/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-691a133cbb855640d530c8989f9a86da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Omega=\\{(\\text{cara},\\text{cara}),(\\text{cara},\\text{cruz}),(\\text{cruz},\\text{cara}), (\\text{cruz},\\text{cruz})\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"424\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-espacios-muestrales\"><\/span> \u00d6rnek uzay t\u00fcrleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u00d6rnek uzay t\u00fcrleri \u015funlard\u0131r:<\/p>\n<ul>\n<li> <strong>Ayr\u0131k (veya say\u0131labilir) \u00f6rnek uzay<\/strong> : Olas\u0131 sonu\u00e7lar\u0131n say\u0131s\u0131 sonlu veya say\u0131labilir \u015fekilde sonsuz oldu\u011funda bir \u00f6rnek uzay ayr\u0131kt\u0131r.<\/li>\n<li> <strong>S\u00fcrekli \u00d6rnek Uzay<\/strong> : Olas\u0131 sonu\u00e7lar\u0131n say\u0131s\u0131 sonsuz oldu\u011funda bir \u00f6rnek uzay s\u00fcreklidir.<\/li>\n<\/ul>\n<p> \u00d6rne\u011fin, bir zar\u0131n at\u0131lmas\u0131 ve yaz\u0131 tura at\u0131lmas\u0131n\u0131n sonlu ayr\u0131k \u00f6rnek uzaylar\u0131 vard\u0131r. Ancak yaz\u0131 tura gelene kadar yaz\u0131 tura atmak ayr\u0131, sonsuz bir \u00f6rnek uzaydan olu\u015fur, \u00e7\u00fcnk\u00fc sonu\u00e7lar\u0131n say\u0131s\u0131 sonludur ancak at\u0131\u015f say\u0131s\u0131 s\u0131n\u0131rl\u0131 de\u011fildir, \u00e7\u00fcnk\u00fc paray\u0131 ka\u00e7 kez atman\u0131z gerekti\u011fini bilemezsiniz. ortaya \u00e7\u0131k\u0131yor. ba\u015f y\u00fcksekte tutuldu.<\/p>\n<p> \u00d6te yandan, s\u00fcrekli \u00f6rnek uzay\u0131n bir \u00f6rne\u011fi, herhangi bir pozitif ger\u00e7ek say\u0131 olabilen, gruptaki bir bireyin a\u011f\u0131rl\u0131\u011f\u0131d\u0131r.<\/p>\n<p> Bir \u00f6rnek uzaydaki t\u00fcm temel olaylar\u0131n ayn\u0131 ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131na sahip olmas\u0131 durumunda bunun e\u015f <strong>olas\u0131l\u0131kl\u0131 bir \u00f6rnek uzay<\/strong> oldu\u011fu unutulmamal\u0131d\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"espacio-muestral-y-eventos\"><\/span> \u00d6rnekleme alan\u0131 ve olaylar<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u00d6rnek uzay ve olaylar<\/strong> iki farkl\u0131 kavramd\u0131r. <strong>\u00d6rnek uzay\u0131<\/strong> rastgele bir deneyin t\u00fcm olas\u0131 sonu\u00e7lar\u0131n\u0131n k\u00fcmesidir; <strong>olaylar<\/strong> (veya olu\u015fumlar) ise deneyin olas\u0131 sonu\u00e7lar\u0131n\u0131n her biridir.<\/p>\n<p> Bu nedenle olas\u0131 olay veya olu\u015fumlar k\u00fcmesi deneyin \u00f6rnek uzay\u0131n\u0131 olu\u015fturur.<\/p>\n<p> Bu nedenle bazen \u00f6rnek uzaya <strong>olay uzay\u0131<\/strong> da denir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"espacio-muestral-y-espacio-probabilistico\"><\/span> \u00d6rnekleme uzay\u0131 ve olas\u0131l\u0131k uzay\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Olas\u0131l\u0131k teorisinde <strong>\u00f6rnek uzay ve olas\u0131l\u0131k uzay\u0131<\/strong> (veya olas\u0131l\u0131k uzay\u0131), ayn\u0131 anlama gelmelerine ra\u011fmen farkl\u0131 kavramlard\u0131r. Ger\u00e7ekte olas\u0131l\u0131k uzay\u0131n\u0131n tan\u0131m\u0131 \u00f6rnek uzay\u0131 da i\u00e7ermektedir.<\/p>\n<p> Bir olas\u0131l\u0131k uzay\u0131 a\u015fa\u011f\u0131dakilerden olu\u015fur:<\/p>\n<ul>\n<li> \u00d6rnek uzay: deneyin t\u00fcm olas\u0131 sonu\u00e7lar\u0131.<\/li>\n<li> Sigma cebiri : uzay\u0131n tan\u0131mland\u0131\u011f\u0131 k\u00fcmeler k\u00fcmesi<\/li>\n<li> Olas\u0131l\u0131k fonksiyonu: Her bir olay\u0131n olas\u0131l\u0131\u011f\u0131n\u0131 hesaplaman\u0131z\u0131 sa\u011flayan matematiksel fonksiyon.<\/li>\n<\/ul>\n<p> \u00d6rnek uzay bu nedenle olas\u0131l\u0131ksal uzay anlam\u0131nda yer al\u0131r ve bu nedenle bu iki kavram\u0131n kar\u0131\u015ft\u0131r\u0131lmamas\u0131 gerekir.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Burada \u00f6rnek uzay\u0131n ne oldu\u011funu a\u00e7\u0131klayaca\u011f\u0131z ve size birka\u00e7 \u00f6rnek uzay \u00f6rne\u011fi g\u00f6sterece\u011fiz. Ayr\u0131ca t\u00fcm \u00f6rnek uzay t\u00fcrlerinin ne oldu\u011funu ve \u00f6rnek uzay ile di\u011fer olas\u0131l\u0131k kavramlar\u0131 aras\u0131ndaki farklar\u0131 \u00f6\u011freneceksiniz. \u00d6rnek uzay nedir? \u00d6rnekleme alan\u0131 olarak da adland\u0131r\u0131lan \u00f6rnek uzay , rastgele bir deneydeki temel olaylar k\u00fcmesidir. Yani \u00f6rneklem uzay\u0131 rastgele bir deneyin t\u00fcm olas\u0131 [&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-22","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 \u00d6rnek alan (a\u00e7\u0131klama ve \u00f6rnekler)<\/title>\n<meta name=\"description\" content=\"\u00d6rnek uzay\u0131n ne oldu\u011funu ve t\u00fcm \u00f6rnek uzay t\u00fcrlerinin ne oldu\u011funu a\u00e7\u0131kl\u0131yoruz. \u00d6rnek uzay \u00f6rnekleriyle.\" \/>\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\/ornek-uzay-1\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 \u00d6rnek alan (a\u00e7\u0131klama ve \u00f6rnekler)\" \/>\n<meta property=\"og:description\" content=\"\u00d6rnek uzay\u0131n ne oldu\u011funu ve t\u00fcm \u00f6rnek uzay t\u00fcrlerinin ne oldu\u011funu a\u00e7\u0131kl\u0131yoruz. \u00d6rnek uzay \u00f6rnekleriyle.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/ornek-uzay-1\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-06T17:49:27+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-b3ad0ac057b6cd7e3d3db78b556249a1_l3.png\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/ornek-uzay-1\/\",\"url\":\"https:\/\/statorials.org\/tr\/ornek-uzay-1\/\",\"name\":\"\u25b7 \u00d6rnek alan (a\u00e7\u0131klama ve \u00f6rnekler)\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-08-06T17:49:27+00:00\",\"dateModified\":\"2023-08-06T17:49:27+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"\u00d6rnek uzay\u0131n ne oldu\u011funu ve t\u00fcm \u00f6rnek uzay t\u00fcrlerinin ne oldu\u011funu a\u00e7\u0131kl\u0131yoruz. \u00d6rnek uzay \u00f6rnekleriyle.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/ornek-uzay-1\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/ornek-uzay-1\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/ornek-uzay-1\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u00d6rnek uzay\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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