{"id":1350,"date":"2023-07-26T18:31:15","date_gmt":"2023-07-26T18:31:15","guid":{"rendered":"https:\/\/statorials.org\/tr\/kategorik-dagilim\/"},"modified":"2023-07-26T18:31:15","modified_gmt":"2023-07-26T18:31:15","slug":"kategorik-dagilim","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/kategorik-dagilim\/","title":{"rendered":"Kategorik da\u011f\u0131l\u0131m nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Kategorik da\u011f\u0131l\u0131m,<\/strong> <a href=\"https:\/\/statorials.org\/tr\/rastgele-degiskenler\/\" target=\"_blank\" rel=\"noopener\">bir rastgele de\u011fi\u015fkenin<\/a> , her kategorinin bir olas\u0131l\u0131kla ili\u015fkilendirildi\u011fi <em>K<\/em> kategorilerinden birine ait bir de\u011fer alma olas\u0131l\u0131\u011f\u0131n\u0131 tan\u0131mlayan ayr\u0131k bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir da\u011f\u0131t\u0131m\u0131n kategorik da\u011f\u0131l\u0131m olarak s\u0131n\u0131fland\u0131r\u0131labilmesi i\u00e7in a\u015fa\u011f\u0131daki kriterleri kar\u015f\u0131lamas\u0131 gerekir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Kategoriler ayr\u0131d\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130ki veya daha fazla potansiyel kategori vard\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Rastgele de\u011fi\u015fkenin her kategoride de\u011fer alma olas\u0131l\u0131\u011f\u0131 0 ile 1 aras\u0131nda olmal\u0131d\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\">T\u00fcm kategoriler i\u00e7in olas\u0131l\u0131klar\u0131n toplam\u0131 1&#8217;e e\u015fit olmal\u0131d\u0131r.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Kategorik da\u011f\u0131l\u0131m\u0131n en belirgin \u00f6rne\u011fi, zar\u0131n at\u0131lmas\u0131yla ili\u015fkili sonu\u00e7lar\u0131n da\u011f\u0131l\u0131m\u0131d\u0131r. <em>K<\/em> = 6 potansiyel sonu\u00e7 vard\u0131r ve her sonucun olas\u0131l\u0131\u011f\u0131 1\/6&#8217;d\u0131r:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13191 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/categoriquedist1.png\" alt=\"Kategorik da\u011f\u0131l\u0131m \u00f6rne\u011fi\" width=\"293\" height=\"253\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu da\u011f\u0131l\u0131m, kategorik da\u011f\u0131l\u0131m olarak s\u0131n\u0131fland\u0131r\u0131lacak t\u00fcm kriterleri kar\u015f\u0131lamaktad\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Kategoriler ayr\u0131kt\u0131r (\u00f6rne\u011fin rastgele de\u011fi\u015fken yaln\u0131zca ayr\u0131k de\u011ferleri alabilir \u2013 1, 2, 3, 4, 5, 6)<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130ki veya daha fazla potansiyel kategori vard\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Her kategorinin olas\u0131l\u0131\u011f\u0131 0 ile 1 aras\u0131ndad\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Olas\u0131l\u0131klar\u0131n toplam\u0131 1: 1\/6 + 1\/6 + 1\/6 + 1\/6 + 1\/6 + 1\/6 = 1.<\/span><\/li>\n<\/ul>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>Genel kural:<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Sonu\u00e7lar\u0131n say\u0131s\u0131n\u0131 <i>sayabiliyorsan\u0131z<\/i> , ayr\u0131 bir rastgele de\u011fi\u015fkenle \u00e7al\u0131\u015f\u0131yorsunuz demektir; \u00f6rne\u011fin, bir madalyonun ka\u00e7 kez tura geldi\u011fini saymak gibi.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak sonucu <i>\u00f6l\u00e7ebiliyorsan\u0131z<\/i> , s\u00fcrekli bir rastgele de\u011fi\u015fkenle \u00e7al\u0131\u015f\u0131yorsunuz demektir; \u00f6rne\u011fin boy, kilo, zaman vb. \u00f6l\u00e7\u00fcm\u00fc.<\/span><\/p>\n<\/blockquote>\n<h3> <span style=\"color: #000000;\"><strong>Kategorik Da\u011f\u0131l\u0131mlara Di\u011fer \u00d6rnekler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ger\u00e7ek d\u00fcnyada a\u015fa\u011f\u0131dakiler dahil bir\u00e7ok kategorik da\u011f\u0131l\u0131m vard\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Yaz\u0131 tura at\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Yaz\u0131 tura att\u0131\u011f\u0131m\u0131zda 2 potansiyel ayr\u0131k sonu\u00e7 vard\u0131r, her sonucun olas\u0131l\u0131\u011f\u0131 0 ile 1 aras\u0131ndad\u0131r ve olas\u0131l\u0131klar\u0131n toplam\u0131 1&#8217;e e\u015fittir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13192 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/categoriquedist2.png\" alt=\"Kategorik da\u011f\u0131l\u0131m \u00f6rne\u011fi\" width=\"277\" height=\"172\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <strong><span style=\"color: #000000;\">\u00d6rnek 2: Bir semaverdeki bilyelerin se\u00e7imi.<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Bir kavanozun 5 k\u0131rm\u0131z\u0131 bilye, 3 ye\u015fil bilye ve 2 mor bilye i\u00e7erdi\u011fini varsayal\u0131m. Torbadan rastgele bir top se\u00e7ersek, 3 potansiyel ayr\u0131k sonu\u00e7 vard\u0131r, her sonucun olas\u0131l\u0131\u011f\u0131 0 ile 1 aras\u0131ndad\u0131r ve olas\u0131l\u0131klar\u0131n toplam\u0131 1&#8217;e e\u015fittir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13193 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/categoriquedist3.png\" alt=\"Kategorik da\u011f\u0131l\u0131m olas\u0131l\u0131klar\u0131\" width=\"281\" height=\"178\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek 3: Desteden bir kart se\u00e7mek.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">52 kartl\u0131k standart bir desteden rastgele bir kart se\u00e7ersek, 13 potansiyel ayr\u0131k sonu\u00e7 vard\u0131r, her sonucun olas\u0131l\u0131\u011f\u0131 0 ile 1 aras\u0131ndad\u0131r ve olas\u0131l\u0131klar\u0131n toplam\u0131 1&#8217;e e\u015fittir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13194 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/categoriquedist4.png\" alt=\"\" width=\"286\" height=\"418\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Di\u011fer da\u011f\u0131t\u0131mlarla ili\u015fki<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir da\u011f\u0131l\u0131m\u0131n <strong>kategorik da\u011f\u0131l\u0131m<\/strong> olarak s\u0131n\u0131fland\u0131r\u0131labilmesi i\u00e7in <em>K<\/em> \u2265 2 potansiyel sonuca ve <em>n<\/em> = 1 denemeye sahip olmas\u0131 gerekir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu terminolojiyi kullanarak kategorik bir da\u011f\u0131l\u0131m a\u015fa\u011f\u0131daki da\u011f\u0131l\u0131mlara benzer:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Bernoulli da\u011f\u0131l\u0131m\u0131:<\/strong> <em>K<\/em> = 2 sonu\u00e7, <em>n<\/em> = 1 test<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Binom da\u011f\u0131l\u0131m\u0131:<\/strong> <em>K<\/em> = 2 u\u00e7 nokta, n \u2265 1 deneme<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00c7ok terimli da\u011f\u0131l\u0131m:<\/strong> <em>K<\/em> \u2265 2 sonu\u00e7, n \u2265 deneme<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/rastgele-degiskenler\/\" target=\"_blank\" rel=\"noopener\">Rastgele de\u011fi\u015fkenler nelerdir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/binom-dagilimi-1\/\" target=\"_blank\" rel=\"noopener\">Binom da\u011f\u0131l\u0131m\u0131na giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/cok-terimli-dagilim-1\/\" target=\"_blank\" rel=\"noopener\">\u00c7ok Terimli Da\u011f\u0131t\u0131ma Giri\u015f<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kategorik da\u011f\u0131l\u0131m, bir rastgele de\u011fi\u015fkenin , her kategorinin bir olas\u0131l\u0131kla ili\u015fkilendirildi\u011fi K kategorilerinden birine ait bir de\u011fer alma olas\u0131l\u0131\u011f\u0131n\u0131 tan\u0131mlayan ayr\u0131k bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r. Bir da\u011f\u0131t\u0131m\u0131n kategorik da\u011f\u0131l\u0131m olarak s\u0131n\u0131fland\u0131r\u0131labilmesi i\u00e7in a\u015fa\u011f\u0131daki kriterleri kar\u015f\u0131lamas\u0131 gerekir: Kategoriler ayr\u0131d\u0131r. \u0130ki veya daha fazla potansiyel kategori vard\u0131r. Rastgele de\u011fi\u015fkenin her kategoride de\u011fer alma olas\u0131l\u0131\u011f\u0131 0 ile 1 aras\u0131nda [&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-1350","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>Kategorik da\u011f\u0131l\u0131m nedir? - Statoryaller<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, tan\u0131m ve \u00f6rnekler de dahil olmak \u00fczere kategorik da\u011f\u0131l\u0131mlara h\u0131zl\u0131 bir giri\u015f sa\u011flanmaktad\u0131r.\" \/>\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\/kategorik-dagilim\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Kategorik da\u011f\u0131l\u0131m nedir? - Statoryaller\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde, tan\u0131m ve \u00f6rnekler de dahil olmak \u00fczere kategorik da\u011f\u0131l\u0131mlara h\u0131zl\u0131 bir giri\u015f sa\u011flanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/kategorik-dagilim\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T18:31:15+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/categoriquedist1.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=\"2 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/kategorik-dagilim\/\",\"url\":\"https:\/\/statorials.org\/tr\/kategorik-dagilim\/\",\"name\":\"Kategorik da\u011f\u0131l\u0131m nedir? - Statoryaller\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-26T18:31:15+00:00\",\"dateModified\":\"2023-07-26T18:31:15+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde, tan\u0131m ve \u00f6rnekler de dahil olmak \u00fczere kategorik da\u011f\u0131l\u0131mlara h\u0131zl\u0131 bir giri\u015f sa\u011flanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/kategorik-dagilim\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/kategorik-dagilim\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/kategorik-dagilim\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Kategorik da\u011f\u0131l\u0131m nedir?\"}]},{\"@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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