{"id":234,"date":"2023-08-03T20:48:38","date_gmt":"2023-08-03T20:48:38","guid":{"rendered":"https:\/\/statorials.org\/tr\/binom-dagilimi-1\/"},"modified":"2023-08-03T20:48:38","modified_gmt":"2023-08-03T20:48:38","slug":"binom-dagilimi-1","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/binom-dagilimi-1\/","title":{"rendered":"Binom da\u011f\u0131l\u0131m\u0131"},"content":{"rendered":"

Bu makalede istatistikte binom da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 anlat\u0131lmaktad\u0131r. Bu nedenle binom da\u011f\u0131l\u0131m\u0131n\u0131n tan\u0131m\u0131n\u0131, binom da\u011f\u0131l\u0131m \u00f6rneklerini ve bu t\u00fcr olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131n \u00f6zelliklerini bulacaks\u0131n\u0131z. Ek olarak, \u00e7evrimi\u00e7i bir hesap makinesiyle binom da\u011f\u0131l\u0131m\u0131n\u0131n herhangi bir olas\u0131l\u0131\u011f\u0131n\u0131 hesaplayabileceksiniz. <\/p>\n

<\/span> Binom da\u011f\u0131l\u0131m\u0131 nedir?<\/span><\/h2>\n

Binom da\u011f\u0131l\u0131m\u0131,<\/strong> sabit bir ba\u015far\u0131 olas\u0131l\u0131\u011f\u0131 ile bir dizi ba\u011f\u0131ms\u0131z, ikili deney ger\u00e7ekle\u015ftirirken ba\u015far\u0131 say\u0131s\u0131n\u0131 sayan bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r.<\/p>\n

Ba\u015fka bir deyi\u015fle binom da\u011f\u0131l\u0131m\u0131, bir dizi Bernoulli denemesinin ba\u015far\u0131l\u0131 sonu\u00e7lar\u0131n\u0131n say\u0131s\u0131n\u0131 tan\u0131mlayan bir da\u011f\u0131l\u0131md\u0131r.<\/p>\n

Bernoulli testinin iki olas\u0131 sonucu olan bir deney oldu\u011funu unutmay\u0131n: “ba\u015far\u0131” ve “ba\u015far\u0131s\u0131zl\u0131k”. Dolay\u0131s\u0131yla \u201cba\u015far\u0131\u201d olas\u0131l\u0131\u011f\u0131 p<\/em> ise, \u201cba\u015far\u0131s\u0131zl\u0131k\u201d olas\u0131l\u0131\u011f\u0131 q=1-p’dir<\/em> .<\/p>\n

Genel olarak ger\u00e7ekle\u015ftirilen deneylerin toplam say\u0131s\u0131 n<\/em> parametresi ile tan\u0131mlan\u0131rken, p<\/em> her deneyin ba\u015far\u0131 olas\u0131l\u0131\u011f\u0131d\u0131r. B\u00f6ylece, binom da\u011f\u0131l\u0131m\u0131n\u0131 takip eden bir rastgele de\u011fi\u015fken \u015fu \u015fekilde yaz\u0131l\u0131r:<\/p>\n<\/p>\n

\"X\\sim\\text{Bin}(n,p)\"<\/p>\n<\/p>\n

Binom da\u011f\u0131l\u0131m\u0131nda ayn\u0131 deneyin n<\/em> kez tekrarland\u0131\u011f\u0131n\u0131 ve deneylerin birbirinden ba\u011f\u0131ms\u0131z oldu\u011funu, dolay\u0131s\u0131yla her deneyin ba\u015far\u0131 olas\u0131l\u0131\u011f\u0131n\u0131n ayn\u0131 oldu\u011funu (p)<\/em> unutmay\u0131n.<\/p>\n

Binom da\u011f\u0131l\u0131m\u0131 ayn\u0131 zamanda binom da\u011f\u0131l\u0131m\u0131<\/strong> olarak da adland\u0131r\u0131labilir. <\/p>\n

<\/span> Binom Da\u011f\u0131t\u0131m \u00d6rnekleri<\/span><\/h2>\n

Binom da\u011f\u0131l\u0131m\u0131n\u0131n tan\u0131m\u0131n\u0131 g\u00f6rd\u00fckten sonra, kavram\u0131 daha iyi anlamak i\u00e7in bu da\u011f\u0131l\u0131m tipini takip eden \u00e7e\u015fitli de\u011fi\u015fken \u00f6rnekleri g\u00f6rece\u011fiz.<\/p>\n

    \n
  1. Bir paran\u0131n 25 kez at\u0131lmas\u0131 s\u0131ras\u0131nda tura gelme say\u0131s\u0131.<\/span><\/li>\n
  2. Bir basketbolcunun ayn\u0131 yerden potaya do\u011fru 60 kez at\u0131\u015f yapt\u0131\u011f\u0131nda yapt\u0131\u011f\u0131 \u015fut say\u0131s\u0131.<\/span><\/li>\n
  3. Bir zar\u0131 30 kez atarak 6 say\u0131s\u0131n\u0131 elde etme say\u0131s\u0131.<\/span><\/li>\n
  4. S\u0131nava giren toplam 50 \u00f6\u011frencinin ge\u00e7me say\u0131s\u0131.<\/span><\/li>\n
  5. 100 \u00fcr\u00fcnden olu\u015fan bir numunedeki kusurlu birimlerin say\u0131s\u0131.<\/span> <\/li>\n<\/ol>\n

    <\/span> Binom da\u011f\u0131l\u0131m form\u00fcl\u00fc<\/span><\/h2>\n

    x, n, p parametreleri verildi\u011finde,<\/em> binom da\u011f\u0131l\u0131m\u0131n\u0131n olas\u0131l\u0131k fonksiyonu x<\/em> \u00e7arp\u0131 p x<\/sup><\/em> \u00e7arp\u0131 (1-p) nx’teki<\/sup><\/em> n’nin<\/em> kombinatoryal say\u0131s\u0131 olarak tan\u0131mlan\u0131r.<\/p>\n

    Bu nedenle, binom da\u011f\u0131l\u0131m\u0131n\u0131n olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in form\u00fcl<\/strong> \u015f\u00f6yledir: <\/p>\n

    \"Binom<\/figure>\n

    \ud83d\udc49Binom da\u011f\u0131l\u0131m\u0131n\u0131 takip eden bir de\u011fi\u015fkenin olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki hesaplay\u0131c\u0131y\u0131 kullanabilirsiniz.<\/u><\/p>\n

    \u00d6te yandan, binom da\u011f\u0131l\u0131m\u0131n\u0131n k\u00fcm\u00fclatif olas\u0131l\u0131\u011f\u0131, s\u00f6z konusu ba\u015far\u0131 durumu say\u0131s\u0131n\u0131n olas\u0131l\u0131klar\u0131 ve \u00f6nceki t\u00fcm olas\u0131l\u0131klar\u0131n eklenmesiyle hesaplan\u0131r. Dolay\u0131s\u0131yla, binom da\u011f\u0131l\u0131m\u0131n\u0131n k\u00fcm\u00fclatif olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in form\u00fcl \u015f\u00f6yledir: <\/p>\n<\/p>\n

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

    <\/span> Binom da\u011f\u0131l\u0131m\u0131na ili\u015fkin \u00e7\u00f6z\u00fclm\u00fc\u015f al\u0131\u015ft\u0131rma<\/span><\/h2>\n
      \n
    • Bir paray\u0131 10 kez at\u0131yoruz, 6 kez tura gelme olas\u0131l\u0131\u011f\u0131 nedir?<\/li>\n<\/ul>\n

      Bu problemdeki de\u011fi\u015fken binom da\u011f\u0131l\u0131m\u0131n\u0131 takip etmektedir \u00e7\u00fcnk\u00fc t\u00fcm f\u0131rlatmalar birbirinden ba\u011f\u0131ms\u0131zd\u0131r ve ayn\u0131 ba\u015far\u0131 olas\u0131l\u0131\u011f\u0131na sahiptir.<\/p>\n

      Somut olarak ba\u015far\u0131 olas\u0131l\u0131\u011f\u0131 %50’dir \u00e7\u00fcnk\u00fc olas\u0131 iki sonu\u00e7tan yaln\u0131zca biri ba\u015far\u0131 olarak kabul edilir.<\/p>\n<\/p>\n

      \"p=\\cfrac{1}{2}=0,5\"<\/p>\n<\/p>\n

      Bu nedenle, bu al\u0131\u015ft\u0131rman\u0131n da\u011f\u0131l\u0131m\u0131, toplam 10 deneyden olu\u015fan ve olas\u0131l\u0131\u011f\u0131 0,5 olan bir binomdur.<\/p>\n<\/p>\n

      \"X\\sim\\text{Bin}(10<\/p>\n<\/p>\n

      Dolay\u0131s\u0131yla alt\u0131 tura gelme olas\u0131l\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in binom da\u011f\u0131l\u0131m form\u00fcl\u00fcn\u00fc uygulamam\u0131z gerekir.<\/p>\n<\/p>\n

      \"\\begin{aligned}P[X=x]&=\\begin{pmatrix}n\\\\x\\end{pmatrix}p^x(1-p)^{n-x}\\\\[2ex]P[X=6]&=\\begin{pmatrix}10\\\\6\\end{pmatrix}0,5^6(1-0,5)^{10-6}\\\\[2ex]P[X=6]&=0,2051\\end{aligned}\"<\/p>\n<\/p>\n

      Yani bir paray\u0131 on kez att\u0131\u011f\u0131n\u0131zda tam olarak alt\u0131 tura gelme olas\u0131l\u0131\u011f\u0131 %20,51’dir. <\/p>\n

      <\/span> Binom da\u011f\u0131l\u0131m\u0131n\u0131n \u00f6zellikleri<\/span><\/h2>\n

      Binom da\u011f\u0131l\u0131m\u0131 a\u015fa\u011f\u0131daki \u00f6zelliklere sahiptir:<\/p>\n

        \n
      • Binom da\u011f\u0131l\u0131m\u0131 iki parametreyle tan\u0131mlan\u0131r: n<\/em> , Bernoulli deneylerinin toplam say\u0131s\u0131d\u0131r ve p<\/em> ise her Bernoulli deneyinin ba\u015far\u0131 olas\u0131l\u0131\u011f\u0131d\u0131r.<\/li>\n<\/ul>\n

        \"\\begin{array}{c}X\\sim\\text{Bin}(n,p)\\\\[2ex]n\\geq<\/p>\n<\/p>\n

          \n
        • Binom da\u011f\u0131l\u0131m\u0131n\u0131n ortalamas\u0131, toplam deney say\u0131s\u0131n\u0131n her bir deneyin ba\u015far\u0131 olas\u0131l\u0131\u011f\u0131 ile \u00e7arp\u0131m\u0131na e\u015fittir. Bu nedenle, bir binom da\u011f\u0131l\u0131m\u0131n\u0131n ortalamas\u0131n\u0131 hesaplamak i\u00e7in n’yi<\/em> p<\/em> ile \u00e7arpmak gerekir.<\/li>\n<\/ul>\n

          \"E[X]=n\\cdot<\/p>\n<\/p>\n

            \n
          • Binom da\u011f\u0131l\u0131m\u0131n\u0131n varyans\u0131, toplam deneme say\u0131s\u0131n\u0131n ba\u015far\u0131 olas\u0131l\u0131\u011f\u0131 ve ba\u015far\u0131s\u0131zl\u0131k olas\u0131l\u0131\u011f\u0131yla \u00e7arp\u0131m\u0131na e\u015fittir.<\/li>\n<\/ul>\n

            \"Var(X)=n\\cdot<\/p>\n<\/p>\n

              \n
            • Binom da\u011f\u0131l\u0131m\u0131n\u0131n olas\u0131l\u0131k fonksiyonunun form\u00fcl\u00fc a\u015fa\u011f\u0131daki gibidir:<\/li>\n<\/ul>\n

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

                \n
              • Benzer \u015fekilde, binom da\u011f\u0131l\u0131m\u0131n\u0131n k\u00fcm\u00fclatif da\u011f\u0131l\u0131m fonksiyonunun form\u00fcl\u00fc \u015f\u00f6yledir:<\/li>\n<\/ul>\n

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

                  \n
                • Ayn\u0131 olas\u0131l\u0131\u011fa sahip iki ba\u011f\u0131ms\u0131z binom da\u011f\u0131l\u0131m\u0131n\u0131n toplam\u0131, ayn\u0131 olas\u0131l\u0131k de\u011feri olan p<\/em> ve n’nin<\/em> iki da\u011f\u0131l\u0131m\u0131n toplam deneme say\u0131s\u0131n\u0131n toplam\u0131 oldu\u011fu bir binom da\u011f\u0131l\u0131m\u0131na e\u015fde\u011ferdir.<\/li>\n<\/ul>\n

                  \"\\begin{array}{c}X\\sim\\text{Bin}(n,p)\\qquad<\/p>\n<\/p>\n

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

                    \n
                  • Bernoulli da\u011f\u0131l\u0131m\u0131, n=1<\/em> olan, yani sadece bir deneyin yap\u0131ld\u0131\u011f\u0131 binom da\u011f\u0131l\u0131m\u0131n\u0131n \u00f6zel bir durumudur.<\/li>\n<\/ul>\n

                    \"X\\sim\\text{Bin}(1,p)<\/p>\n<\/p>\n

                      \n
                    • E\u011fer<\/sub> X<\/sub><\/em> 1 ,<\/em> X<\/sub> 2<\/sub> ,\u2026, X k<\/sub><\/em> ba\u011f\u0131ms\u0131z rastgele de\u011fi\u015fkenlerse, \u00f6yle ki <\/li>\n<\/ul>\n

                      \"\\displaystyle\\sum_{i=1}^k<\/p>\n<\/p>\n

                      <\/span> Binom Da\u011f\u0131l\u0131m\u0131 Hesaplay\u0131c\u0131<\/span><\/h2>\n

                      Olas\u0131l\u0131\u011f\u0131 hesaplamak i\u00e7in binom da\u011f\u0131l\u0131m\u0131n\u0131n p, n<\/em> ve x<\/em> parametrelerinin de\u011ferlerini a\u015fa\u011f\u0131daki hesap makinesine girin. Hesaplamak istedi\u011finiz olas\u0131l\u0131\u011f\u0131 se\u00e7meniz ve ondal\u0131k ay\u0131r\u0131c\u0131 olarak noktay\u0131 kullanarak say\u0131lar\u0131 girmeniz gerekir, \u00f6rne\u011fin 0,1667.<\/p>\n

                      \n
                      \u27a4<\/strong><\/span> Her deneyin ba\u015far\u0131 olas\u0131l\u0131\u011f\u0131 \u2192<\/strong><\/span><\/p>\n

                      \"p<\/p>\n

                      <\/span> <\/div>\n

                      \u27a4<\/strong><\/span> Ger\u00e7ekle\u015ftirilen toplam deney say\u0131s\u0131 \u2192<\/strong><\/span><\/p>\n

                      \"n<\/p>\n

                      <\/span> <\/div>\n

                      \u27a4<\/strong><\/span> Ba\u015far\u0131l\u0131 deneylerin say\u0131s\u0131: <\/div>\n
                      <\/p>\n

                      \"X=\"<\/p>\n

                      <\/div>\n

                      <\/p>\n

                      \"X\\leq\"<\/p>\n

                      <\/div>\n

                      <\/p>\n

                      \"X\\geq\"<\/p>\n

                      <\/div>\n

                      <\/p>\n

                      \"\\leq<\/p>\n

                      <\/div>\n

                      <\/div>\n<\/form>\n","protected":false},"excerpt":{"rendered":"

                      Bu makalede istatistikte binom da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 anlat\u0131lmaktad\u0131r. Bu nedenle binom da\u011f\u0131l\u0131m\u0131n\u0131n tan\u0131m\u0131n\u0131, binom da\u011f\u0131l\u0131m \u00f6rneklerini ve bu t\u00fcr olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131n \u00f6zelliklerini bulacaks\u0131n\u0131z. Ek olarak, \u00e7evrimi\u00e7i bir hesap makinesiyle binom da\u011f\u0131l\u0131m\u0131n\u0131n herhangi bir olas\u0131l\u0131\u011f\u0131n\u0131 hesaplayabileceksiniz. Binom da\u011f\u0131l\u0131m\u0131 nedir? Binom da\u011f\u0131l\u0131m\u0131, sabit bir ba\u015far\u0131 olas\u0131l\u0131\u011f\u0131 ile bir dizi ba\u011f\u0131ms\u0131z, ikili deney ger\u00e7ekle\u015ftirirken […]<\/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-234","post","type-post","status-publish","format-standard","hentry","category-olasilik"],"yoast_head":"\n\u25b7 Binom Da\u011f\u0131l\u0131m\u0131 - Olas\u0131l\u0131k ve \u0130statistik<\/title>\n<meta name=\"description\" content=\"Bu makalede istatistikte binom da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 anlat\u0131lmaktad\u0131r. B\u00f6ylece da\u011f\u0131t\u0131m\u0131n tan\u0131m\u0131n\u0131 bulacaks\u0131n\u0131z \u2705\" \/>\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\/binom-dagilimi-1\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Binom Da\u011f\u0131l\u0131m\u0131 - Olas\u0131l\u0131k ve \u0130statistik\" \/>\n<meta property=\"og:description\" content=\"Bu makalede istatistikte binom da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 anlat\u0131lmaktad\u0131r. B\u00f6ylece da\u011f\u0131t\u0131m\u0131n tan\u0131m\u0131n\u0131 bulacaks\u0131n\u0131z \u2705\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/binom-dagilimi-1\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-03T20:48:38+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-2f2b2be5bfe6c63bd13c552f4c893f59_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\/binom-dagilimi-1\/\",\"url\":\"https:\/\/statorials.org\/tr\/binom-dagilimi-1\/\",\"name\":\"\u25b7 Binom Da\u011f\u0131l\u0131m\u0131 - Olas\u0131l\u0131k ve \u0130statistik\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-08-03T20:48:38+00:00\",\"dateModified\":\"2023-08-03T20:48:38+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu makalede istatistikte binom da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 anlat\u0131lmaktad\u0131r. B\u00f6ylece da\u011f\u0131t\u0131m\u0131n tan\u0131m\u0131n\u0131 bulacaks\u0131n\u0131z \u2705\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/binom-dagilimi-1\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/binom-dagilimi-1\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/binom-dagilimi-1\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Binom da\u011f\u0131l\u0131m\u0131\"}]},{\"@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 Binom Da\u011f\u0131l\u0131m\u0131 - Olas\u0131l\u0131k ve \u0130statistik","description":"Bu makalede istatistikte binom da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 anlat\u0131lmaktad\u0131r. B\u00f6ylece da\u011f\u0131t\u0131m\u0131n tan\u0131m\u0131n\u0131 bulacaks\u0131n\u0131z \u2705","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\/binom-dagilimi-1\/","og_locale":"tr_TR","og_type":"article","og_title":"\u25b7 Binom Da\u011f\u0131l\u0131m\u0131 - Olas\u0131l\u0131k ve \u0130statistik","og_description":"Bu makalede istatistikte binom da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 anlat\u0131lmaktad\u0131r. B\u00f6ylece da\u011f\u0131t\u0131m\u0131n tan\u0131m\u0131n\u0131 bulacaks\u0131n\u0131z \u2705","og_url":"https:\/\/statorials.org\/tr\/binom-dagilimi-1\/","og_site_name":"Statorials","article_published_time":"2023-08-03T20:48:38+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-2f2b2be5bfe6c63bd13c552f4c893f59_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\/binom-dagilimi-1\/","url":"https:\/\/statorials.org\/tr\/binom-dagilimi-1\/","name":"\u25b7 Binom Da\u011f\u0131l\u0131m\u0131 - Olas\u0131l\u0131k ve \u0130statistik","isPartOf":{"@id":"https:\/\/statorials.org\/tr\/#website"},"datePublished":"2023-08-03T20:48:38+00:00","dateModified":"2023-08-03T20:48:38+00:00","author":{"@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48"},"description":"Bu makalede istatistikte binom da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 anlat\u0131lmaktad\u0131r. B\u00f6ylece da\u011f\u0131t\u0131m\u0131n tan\u0131m\u0131n\u0131 bulacaks\u0131n\u0131z \u2705","breadcrumb":{"@id":"https:\/\/statorials.org\/tr\/binom-dagilimi-1\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/tr\/binom-dagilimi-1\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/tr\/binom-dagilimi-1\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Ev","item":"https:\/\/statorials.org\/tr\/"},{"@type":"ListItem","position":2,"name":"Binom da\u011f\u0131l\u0131m\u0131"}]},{"@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\/234","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=234"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/234\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/media?parent=234"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/categories?post=234"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/tags?post=234"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}