{"id":395,"date":"2023-08-01T04:39:10","date_gmt":"2023-08-01T04:39:10","guid":{"rendered":"https:\/\/statorials.org\/tr\/olasilik-formulleri\/"},"modified":"2023-08-01T04:39:10","modified_gmt":"2023-08-01T04:39:10","slug":"olasilik-formulleri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/olasilik-formulleri\/","title":{"rendered":"Olas\u0131l\u0131k form\u00fclleri"},"content":{"rendered":"

Bu makale olas\u0131l\u0131k form\u00fcllerinin ne oldu\u011funu g\u00f6stermektedir. B\u00f6ylece olas\u0131l\u0131k teorisinin t\u00fcm form\u00fcllerini ve ayr\u0131ca bunlar\u0131n uygulama \u00f6rneklerini bulacaks\u0131n\u0131z. <\/p>\n

<\/span> Laplace kural\u0131n\u0131n form\u00fcl\u00fc<\/span><\/h2>\n

Laplace yasas\u0131 olarak da bilinen Laplace kural\u0131, bir olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in kullan\u0131lan bir kurald\u0131r.<\/p>\n

Laplace kural\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 oldu\u011funu s\u00f6yl\u00fcyor. Bu nedenle, bir olay\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in, o olay\u0131 kar\u015f\u0131layan durumlar\u0131n olas\u0131 sonu\u00e7lar\u0131n say\u0131s\u0131na b\u00f6l\u00fcnmesi gerekir.<\/p>\n

Dolay\u0131s\u0131yla Laplace kural\u0131n\u0131n form\u00fcl\u00fc<\/strong> \u015fu \u015fekildedir: <\/p>\n<\/p>\n

\"P(A)=\\cfrac{\\text{casos<\/p>\n<\/p>\n

\u27a4<\/span> Bak\u0131n\u0131z:<\/strong> Laplace kural\u0131 \u00f6rne\u011fi<\/a> <\/div>\n

<\/span> Ters olay\u0131n form\u00fcl\u00fc<\/span><\/h2>\n

Bir olay\u0131n olas\u0131l\u0131\u011f\u0131, bir eksi kar\u015f\u0131t olay\u0131n olas\u0131l\u0131\u011f\u0131na e\u015fittir. Ba\u015fka bir deyi\u015fle, bir olay\u0131n olas\u0131l\u0131\u011f\u0131 ile kar\u015f\u0131t olay\u0131n olas\u0131l\u0131\u011f\u0131n\u0131n toplam\u0131 1’e e\u015fittir.<\/p>\n<\/p>\n

\"P\\bigl(A\\bigr)=1-P\\bigl(\\overline{A}\\bigr)\"<\/p>\n<\/p>\n

\u00d6rne\u011fin, 5 say\u0131s\u0131n\u0131n gelme olas\u0131l\u0131\u011f\u0131 0,167’dir, \u00e7\u00fcnk\u00fc bu olas\u0131l\u0131ksal \u00f6zelli\u011fi kullanarak ba\u015fka herhangi bir say\u0131n\u0131n gelme olas\u0131l\u0131\u011f\u0131n\u0131 belirleyebiliriz: <\/p>\n<\/p>\n

\"P(5)=0,167\"<\/p>\n<\/p>\n

\"P(1,<\/p>\n<\/p>\n

<\/span> Ko\u015fullu Olas\u0131l\u0131k Form\u00fcl\u00fc<\/span><\/h2>\n

Ko\u015fullu olas\u0131l\u0131k olarak da adland\u0131r\u0131lan ko\u015fullu olas\u0131l\u0131k, ba\u015fka bir B olay\u0131n\u0131n meydana gelmesi durumunda A olay\u0131n\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131 g\u00f6steren istatistiksel bir \u00f6l\u00e7\u00fcmd\u00fcr. Yani ko\u015fullu olas\u0131l\u0131k P(A|B), A olay\u0131n\u0131n B olay\u0131 ger\u00e7ekle\u015ftikten sonra meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131 ifade eder.<\/p>\n

Belirli bir B olay\u0131 A olay\u0131n\u0131n ko\u015fullu olas\u0131l\u0131\u011f\u0131, A olay\u0131 ile B olay\u0131 aras\u0131ndaki kesi\u015fme olas\u0131l\u0131\u011f\u0131n\u0131n B olay\u0131n\u0131n olas\u0131l\u0131\u011f\u0131na b\u00f6l\u00fcnmesine e\u015fittir. Bu nedenle, ko\u015fullu olas\u0131l\u0131k form\u00fcl\u00fc<\/strong> a\u015fa\u011f\u0131daki gibidir: <\/p>\n<\/p>\n

\"P(A|B)=\\cfrac{P(A\\cap<\/p>\n<\/p>\n

\u27a4<\/span> Bak\u0131n\u0131z:<\/strong> Ko\u015fullu olas\u0131l\u0131k \u00f6rne\u011fi<\/a><\/div>\n

<\/span> Olaylar\u0131n birle\u015fimi i\u00e7in form\u00fcl<\/span><\/h2>\n

A ve B gibi iki olay\u0131n birle\u015fimi, A’da, B’de veya her ikisinde de bulunan olaylar\u0131n k\u00fcmesidir. \u0130ki olay\u0131n birle\u015fimi \u22c3 sembol\u00fc ile ifade edilir, dolay\u0131s\u0131yla A ve B olaylar\u0131n\u0131n birle\u015fimi A\u22c3B olarak yaz\u0131l\u0131r.<\/p>\n

\u0130ki olay\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131, birinci olay\u0131n olas\u0131l\u0131\u011f\u0131 art\u0131 ikinci olay\u0131n olas\u0131l\u0131\u011f\u0131 eksi olaylar\u0131n kesi\u015fme olas\u0131l\u0131\u011f\u0131na e\u015fittir.<\/p>\n

Yani iki olay\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131 form\u00fcl\u00fc<\/strong> P(A\u22c3B)=P(A)+P(B)-P(A\u22c2B) \u015feklindedir.<\/p>\n<\/p>\n

\"P(A\\cup<\/p>\n<\/p>\n

Ancak iki olay uyumsuzsa iki olay\u0131n kesi\u015fimi s\u0131f\u0131rd\u0131r. Bu nedenle birbiriyle ba\u011fda\u015fmayan iki olay\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131, her bir olay\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131n\u0131n eklenmesiyle hesaplan\u0131r. <\/p>\n<\/p>\n

\"\\text{A<\/p>\n<\/p>\n

\"P(A\\cup<\/p>\n<\/p>\n

\u27a4<\/span> Bak\u0131n\u0131z:<\/strong> Etkinliklere kat\u0131l\u0131m \u00f6rnekleri<\/a> <\/div>\n

<\/span> Olaylar\u0131n kesi\u015fimi i\u00e7in form\u00fcl<\/span><\/h2>\n

A ve B olaylar\u0131n\u0131n kesi\u015fimi, A ve B’ye ait t\u00fcm olaylar\u0131n ayn\u0131 anda birle\u015fmesiyle olu\u015fur, \u22c2 sembol\u00fcyle ifade edilir. B\u00f6ylece A ve B olaylar\u0131n\u0131n kesi\u015fimi A\u22c2B olarak yaz\u0131l\u0131r.<\/p>\n

\u0130ki olay\u0131n kesi\u015fme olas\u0131l\u0131\u011f\u0131, bir olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131 ile ilk olay g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda di\u011fer olay\u0131n ko\u015fullu olas\u0131l\u0131\u011f\u0131n\u0131n \u00e7arp\u0131m\u0131na e\u015fittir.<\/p>\n

Bu nedenle, iki olay\u0131n kesi\u015fme olas\u0131l\u0131\u011f\u0131 form\u00fcl\u00fc<\/strong> P(A\u22c2B)=P(A) P(B|A)=P(B) P(A|B) \u015feklindedir.<\/p>\n<\/p>\n

\"P(A\\cap<\/p>\n<\/p>\n

Ancak iki olay ba\u011f\u0131ms\u0131zsa bu, bir olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131n di\u011fer olay\u0131n meydana gelip gelmemesine ba\u011fl\u0131 olmad\u0131\u011f\u0131 anlam\u0131na gelir. Bu nedenle iki ba\u011f\u0131ms\u0131z olay\u0131n kesi\u015fme olas\u0131l\u0131\u011f\u0131 form\u00fcl\u00fc a\u015fa\u011f\u0131daki gibidir: <\/p>\n<\/p>\n

\"P(A\\cap<\/p>\n<\/p>\n

\u27a4<\/span> Bak\u0131n\u0131z:<\/strong> Olaylar\u0131n kesi\u015fim \u00f6rnekleri<\/a> <\/div>\n

<\/span> Olaylar\u0131n fark\u0131 form\u00fcl\u00fc<\/span><\/h2>\n

\u0130ki olay aras\u0131ndaki fark olas\u0131l\u0131\u011f\u0131, bir olay\u0131n ayn\u0131 anda meydana gelmeden di\u011fer olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131 ifade eder.<\/p>\n

Dolay\u0131s\u0131yla AB ba\u015far\u0131lar\u0131 aras\u0131ndaki fark olas\u0131l\u0131\u011f\u0131, A ba\u015far\u0131s\u0131 olas\u0131l\u0131\u011f\u0131ndan A ba\u015far\u0131s\u0131 ile B ba\u015far\u0131s\u0131 aras\u0131ndaki kesi\u015fme olas\u0131l\u0131\u011f\u0131 \u00e7\u0131kar\u0131larak e\u015fittir. Yani ba\u015far\u0131lar\u0131n fark\u0131n\u0131n olas\u0131l\u0131\u011f\u0131na ili\u015fkin form\u00fcl<\/strong> \u015fu \u015fekildedir: <\/p>\n<\/p>\n

\"P(A-B)=P(A)-P(A\\cap<\/p>\n<\/p>\n

<\/span> Toplam olas\u0131l\u0131k teoremi form\u00fcl\u00fc<\/span><\/h2>\n

Toplam olas\u0131l\u0131k teoremi, bir \u00f6rnek uzay\u0131n par\u00e7as\u0131 olmayan bir olay\u0131n olas\u0131l\u0131\u011f\u0131n\u0131n, s\u00f6z konusu \u00f6rnek uzaydaki t\u00fcm olaylar\u0131n ko\u015fullu olas\u0131l\u0131klar\u0131ndan hesaplanmas\u0131n\u0131 m\u00fcmk\u00fcn k\u0131lan bir yasad\u0131r.<\/p>\n

Toplam olas\u0131l\u0131k teoremi, \u00f6rnek uzayda bir b\u00f6l\u00fcm olu\u015fturan bir dizi olay (A 1<\/sub> , A 2<\/sub> ,\u2026, A n<\/sub> ) verildi\u011finde, B olay\u0131n\u0131n olas\u0131l\u0131\u011f\u0131n\u0131n, her birinin olas\u0131l\u0131\u011f\u0131n\u0131n \u00e7arp\u0131mlar\u0131n\u0131n toplam\u0131na e\u015fit oldu\u011funu s\u00f6yler. P(A i<\/sub> ) olay\u0131 P(B|A i<\/sub> ) ko\u015fullu olas\u0131l\u0131\u011f\u0131na g\u00f6re hesaplan\u0131r.<\/p>\n

Bu nedenle toplam olas\u0131l\u0131k teoreminin form\u00fcl\u00fc<\/strong> \u015f\u00f6yledir: <\/p>\n<\/p>\n

\"\\displaystyle<\/p>\n<\/p>\n

\u27a4<\/span> Bak\u0131n\u0131z:<\/strong> Toplam olas\u0131l\u0131k teoremi \u00f6rne\u011fi<\/a> <\/div>\n

<\/span> Bayes teoreminin form\u00fcl\u00fc<\/span><\/h2>\n

Olas\u0131l\u0131k teorisinde Bayes teoremi, bir olay hakk\u0131nda \u00f6nceden bilgi bilindi\u011finde o olay\u0131n olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in kullan\u0131lan bir yasad\u0131r.<\/p>\n

Bayes teoremi, olas\u0131l\u0131klar\u0131 s\u0131f\u0131r olmayan bir dizi birbirini d\u0131\u015flayan olaylar {A 1<\/sub> , A 2<\/sub> ,\u2026, A i<\/sub> ,\u2026, A n<\/sub> } ve ba\u015fka bir B olay\u0131 taraf\u0131ndan olu\u015fturulan bir \u00f6rnek uzay verildi\u011finde, ko\u015fullu durumu matematiksel olarak ili\u015fkilendirebilece\u011fimizi s\u00f6yler. B olay\u0131 verildi\u011finde A i’nin<\/sub> olas\u0131l\u0131\u011f\u0131 ve A i<\/sub> verildi\u011finde B’nin ko\u015fullu olas\u0131l\u0131\u011f\u0131.<\/p>\n

Bayes teoreminin form\u00fcl\u00fc<\/strong> \u015fu \u015fekildedir: <\/p>\n<\/p>\n

\"P(A_i|B)=\\cfrac{P(B|A_i)\\cdot<\/p>\n<\/p>\n

\u27a4<\/span> Bak\u0131n\u0131z:<\/strong> Bayes teoremi \u00f6rne\u011fi<\/a> <\/div>\n

<\/span> T\u00fcm olas\u0131l\u0131k form\u00fcllerinin \u00f6zet tablosu<\/span><\/h2>\n

Son olarak size t\u00fcm olas\u0131l\u0131k form\u00fcllerini \u00f6zet olarak i\u00e7eren bir tablo b\u0131rak\u0131yoruz. <\/p>\n

\"olas\u0131l\u0131k<\/figure>\n
\u27a4<\/span> Bak\u0131n\u0131z:<\/strong> \u0130statistiksel form\u00fcller<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"

Bu makale olas\u0131l\u0131k form\u00fcllerinin ne oldu\u011funu g\u00f6stermektedir. B\u00f6ylece olas\u0131l\u0131k teorisinin t\u00fcm form\u00fcllerini ve ayr\u0131ca bunlar\u0131n uygulama \u00f6rneklerini bulacaks\u0131n\u0131z. Laplace kural\u0131n\u0131n form\u00fcl\u00fc Laplace yasas\u0131 olarak da bilinen Laplace kural\u0131, bir olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in kullan\u0131lan bir kurald\u0131r. Laplace kural\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 oldu\u011funu […]<\/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-395","post","type-post","status-publish","format-standard","hentry","category-olasilik"],"yoast_head":"\n\u25b7 Olas\u0131l\u0131k form\u00fclleri<\/title>\n<meta name=\"description\" content=\"Burada t\u00fcm olas\u0131l\u0131k form\u00fcllerini ve her form\u00fcl olas\u0131l\u0131k teorisinin uygulama \u00f6rneklerini bulacaks\u0131n\u0131z.\" \/>\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\/olasilik-formulleri\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Olas\u0131l\u0131k form\u00fclleri\" \/>\n<meta property=\"og:description\" content=\"Burada t\u00fcm olas\u0131l\u0131k form\u00fcllerini ve her form\u00fcl olas\u0131l\u0131k teorisinin uygulama \u00f6rneklerini bulacaks\u0131n\u0131z.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/olasilik-formulleri\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-01T04:39:10+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d3b5a3fd8897ec1933cfc654566b84dc_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=\"5 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/olasilik-formulleri\/\",\"url\":\"https:\/\/statorials.org\/tr\/olasilik-formulleri\/\",\"name\":\"\u25b7 Olas\u0131l\u0131k form\u00fclleri\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-08-01T04:39:10+00:00\",\"dateModified\":\"2023-08-01T04:39:10+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Burada t\u00fcm olas\u0131l\u0131k form\u00fcllerini ve her form\u00fcl olas\u0131l\u0131k teorisinin uygulama \u00f6rneklerini bulacaks\u0131n\u0131z.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/olasilik-formulleri\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/olasilik-formulleri\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/olasilik-formulleri\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Olas\u0131l\u0131k form\u00fclleri\"}]},{\"@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. Daha fazlas\u0131n\u0131 bil\",\"sameAs\":[\"https:\/\/statorials.org\/tr\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u25b7 Olas\u0131l\u0131k form\u00fclleri","description":"Burada t\u00fcm olas\u0131l\u0131k form\u00fcllerini ve her form\u00fcl olas\u0131l\u0131k teorisinin uygulama \u00f6rneklerini bulacaks\u0131n\u0131z.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/tr\/olasilik-formulleri\/","og_locale":"tr_TR","og_type":"article","og_title":"\u25b7 Olas\u0131l\u0131k form\u00fclleri","og_description":"Burada t\u00fcm olas\u0131l\u0131k form\u00fcllerini ve her form\u00fcl olas\u0131l\u0131k teorisinin uygulama \u00f6rneklerini bulacaks\u0131n\u0131z.","og_url":"https:\/\/statorials.org\/tr\/olasilik-formulleri\/","og_site_name":"Statorials","article_published_time":"2023-08-01T04:39:10+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d3b5a3fd8897ec1933cfc654566b84dc_l3.png"}],"author":"Dr.benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"Dr.benjamin anderson","Tahmini okuma s\u00fcresi":"5 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/tr\/olasilik-formulleri\/","url":"https:\/\/statorials.org\/tr\/olasilik-formulleri\/","name":"\u25b7 Olas\u0131l\u0131k form\u00fclleri","isPartOf":{"@id":"https:\/\/statorials.org\/tr\/#website"},"datePublished":"2023-08-01T04:39:10+00:00","dateModified":"2023-08-01T04:39:10+00:00","author":{"@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48"},"description":"Burada t\u00fcm olas\u0131l\u0131k form\u00fcllerini ve her form\u00fcl olas\u0131l\u0131k teorisinin uygulama \u00f6rneklerini bulacaks\u0131n\u0131z.","breadcrumb":{"@id":"https:\/\/statorials.org\/tr\/olasilik-formulleri\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/tr\/olasilik-formulleri\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/tr\/olasilik-formulleri\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Ev","item":"https:\/\/statorials.org\/tr\/"},{"@type":"ListItem","position":2,"name":"Olas\u0131l\u0131k form\u00fclleri"}]},{"@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. Daha fazlas\u0131n\u0131 bil","sameAs":["https:\/\/statorials.org\/tr"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/395","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/comments?post=395"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/395\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/media?parent=395"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/categories?post=395"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/tags?post=395"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}