{"id":232,"date":"2023-08-03T21:24:33","date_gmt":"2023-08-03T21:24:33","guid":{"rendered":"https:\/\/statorials.org\/tr\/geometrik-dagilim-1\/"},"modified":"2023-08-03T21:24:33","modified_gmt":"2023-08-03T21:24:33","slug":"geometrik-dagilim-1","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/geometrik-dagilim-1\/","title":{"rendered":"Geometrik da\u011f\u0131l\u0131m"},"content":{"rendered":"<p>Bu makalede istatistikte geometrik da\u011f\u0131l\u0131m\u0131n ne oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. Bu nedenle geometrik da\u011f\u0131l\u0131m\u0131n tan\u0131m\u0131n\u0131, geometrik 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 geometrik da\u011f\u0131l\u0131m\u0131n herhangi bir olas\u0131l\u0131\u011f\u0131n\u0131 hesaplayabilirsiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-geometrica\"><\/span> Geometrik da\u011f\u0131l\u0131m nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Geometrik da\u011f\u0131l\u0131m,<\/strong> ilk ba\u015far\u0131l\u0131 sonucu elde etmek i\u00e7in gereken Bernoulli denemelerinin say\u0131s\u0131n\u0131 tan\u0131mlayan bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r.<\/p>\n<p> Yani, Bernoulli deneylerinden biri pozitif sonu\u00e7 elde edene kadar tekrarlanan s\u00fcre\u00e7lerin geometrik da\u011f\u0131l\u0131m modelleri.<\/p>\n<p> Bernoulli testinin iki olas\u0131 sonucu olan bir deney oldu\u011funu unutmay\u0131n: &#8220;ba\u015far\u0131&#8221; ve &#8220;ba\u015far\u0131s\u0131zl\u0131k&#8221;. Yani \u201cba\u015far\u0131\u201d olas\u0131l\u0131\u011f\u0131 <em>p<\/em> ise, \u201cba\u015far\u0131s\u0131zl\u0131k\u201d olas\u0131l\u0131\u011f\u0131 <em>q=1-p&#8217;dir<\/em> .<\/p>\n<p> Bu nedenle geometrik da\u011f\u0131l\u0131m, ger\u00e7ekle\u015ftirilen t\u00fcm deneylerin ba\u015far\u0131 olas\u0131l\u0131\u011f\u0131 olan <em>p<\/em> parametresine ba\u011fl\u0131d\u0131r. Ayr\u0131ca <em>p<\/em> olas\u0131l\u0131\u011f\u0131 t\u00fcm deneyler i\u00e7in ayn\u0131d\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-22fef9b6ab8e3b351598caf9925c2b3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim\\text{Geom\\'etrica}(p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"151\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Benzer \u015fekilde geometrik da\u011f\u0131l\u0131m da ilk ba\u015far\u0131dan \u00f6nceki ba\u015far\u0131s\u0131zl\u0131klar\u0131n say\u0131s\u0131 olarak tan\u0131mlanabilir. Bu durumda da\u011f\u0131l\u0131m <em>x=0<\/em> de\u011ferini alabilir ve form\u00fcl\u00fc biraz de\u011fi\u015fir. Ancak en yayg\u0131n olan\u0131 bu b\u00f6l\u00fcm\u00fcn ba\u015f\u0131nda a\u00e7\u0131klanan geometrik da\u011f\u0131l\u0131m\u0131n tan\u0131m\u0131na d\u00f6nmektir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-distribucion-geometrica\"><\/span> Geometrik Da\u011f\u0131l\u0131m \u00d6rnekleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Geometrik da\u011f\u0131l\u0131m\u0131n tan\u0131m\u0131n\u0131 g\u00f6rd\u00fckten sonra, bu b\u00f6l\u00fcmde bu t\u00fcr da\u011f\u0131l\u0131ma uyan rastgele de\u011fi\u015fkenlerin birka\u00e7 \u00f6rne\u011fi g\u00f6sterilmektedir.<\/p>\n<p> <strong><u style=\"text-decoration-color:#FF8A05\">Geometrik da\u011f\u0131l\u0131m \u00f6rnekleri:<\/u><\/strong><\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Yaz\u0131 elde edilene kadar yap\u0131lan yaz\u0131-tura say\u0131s\u0131.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">K\u0131rm\u0131z\u0131 bir araba g\u00f6rene kadar yoldan ge\u00e7en araba say\u0131s\u0131.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Bir ki\u015finin, ge\u00e7ene kadar direksiyon s\u0131nav\u0131na ka\u00e7 kez girmesi gerekti\u011fidir.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">6 rakam\u0131 at\u0131lana kadar yap\u0131lan zar at\u0131\u015flar\u0131n\u0131n say\u0131s\u0131.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Bir gol at\u0131lana kadar yap\u0131lmas\u0131 gereken serbest at\u0131\u015f say\u0131s\u0131.<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-geometrica\"><\/span> Geometrik da\u011f\u0131l\u0131m form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Geometrik bir da\u011f\u0131l\u0131mda, pozitif bir sonu\u00e7 elde etmek i\u00e7in <em>x<\/em> deneme yapmak zorunda kalma olas\u0131l\u0131\u011f\u0131, <em>p<\/em> \u00e7arp\u0131 <em>(1-p)<\/em> parametresinin <em>x-1<\/em> kuvvetinin \u00e7arp\u0131m\u0131d\u0131r.<\/p>\n<p> Bu nedenle <strong>geometrik da\u011f\u0131l\u0131m\u0131n olas\u0131l\u0131\u011f\u0131n\u0131 hesaplama form\u00fcl\u00fc<\/strong> \u015f\u00f6yledir: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/formule-de-distribution-geometrique.png\" alt=\"geometrik da\u011f\u0131l\u0131m form\u00fcl\u00fc\" class=\"wp-image-4723\" width=\"272\" height=\"272\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> <u style=\"text-decoration-color:#FF8A05;\">\ud83d\udc49Geometrik da\u011f\u0131l\u0131ma uyan 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<p> \u00d6te yandan geometrik da\u011f\u0131l\u0131m\u0131n k\u00fcm\u00fclatif olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamay\u0131 m\u00fcmk\u00fcn k\u0131lan da\u011f\u0131l\u0131m fonksiyonunun form\u00fcl\u00fc \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-88686ff4544e13c6431c27b3fc07076c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[X\\leq x]=1-(1-p)^x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"189\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicio-resuelto-de-la-distribucion-geometrica\"><\/span> Geometrik da\u011f\u0131l\u0131m al\u0131\u015ft\u0131rmas\u0131 \u00e7\u00f6z\u00fcld\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li> Zar\u0131n \u00fc\u00e7\u00fcnc\u00fc at\u0131\u015f\u0131nda 5 say\u0131s\u0131n\u0131n gelme olas\u0131l\u0131\u011f\u0131 nedir?<\/li>\n<\/ul>\n<p> Bu problemin olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131, ba\u015far\u0131l\u0131 bir sonu\u00e7 elde etmek i\u00e7in gerekli olan at\u0131\u015f say\u0131s\u0131n\u0131 (\u00fc\u00e7) (5 say\u0131s\u0131) tan\u0131mlad\u0131\u011f\u0131ndan geometrik bir da\u011f\u0131l\u0131md\u0131r.<\/p>\n<p> Bu nedenle \u00f6ncelikle her f\u0131rlatman\u0131n ba\u015far\u0131 olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamal\u0131y\u0131z. Bu durumda, alt\u0131 olas\u0131 sonu\u00e7tan yaln\u0131zca bir pozitif sonu\u00e7 vard\u0131r, dolay\u0131s\u0131yla <em>p<\/em> olas\u0131l\u0131\u011f\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-d3edc23a0939657deeeed11600ba29be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p=\\cfrac{1}{6}=0,1667\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"121\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Daha sonra al\u0131\u015ft\u0131rman\u0131n bize sordu\u011fu olas\u0131l\u0131\u011f\u0131 belirlemek i\u00e7in geometrik da\u011f\u0131l\u0131m form\u00fcl\u00fcn\u00fc uyguluyoruz: <\/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-ceea593841fd847270f92b3ffa919d2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle P[X=x]&amp;=(1-p)^{x-1}\\cdot p\\\\[2ex]\\displaystyle P[X=3]&amp;=\\left(1-\\frac{1}{6}\\right)^{3-1}\\cdot \\frac{1}{6}\\\\[2ex]\\displaystyle P[X=3]&amp;=0,1157\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"132\" width=\"216\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-geometrica\"><\/span> Geometrik da\u011f\u0131l\u0131m \u00f6zellikleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Geometrik da\u011f\u0131l\u0131m a\u015fa\u011f\u0131daki \u00f6zellikleri kar\u015f\u0131lar:<\/p>\n<ul>\n<li> Geometrik da\u011f\u0131l\u0131m\u0131n, ger\u00e7ekle\u015ftirilen deneylerin her birinin ba\u015far\u0131 olas\u0131l\u0131\u011f\u0131 olan <em>p<\/em> karakteristik bir parametresi vard\u0131r.<\/li>\n<\/ul>\n<pre class=\"ql-errors\"> *** QuickLaTeX cannot compile formula:\n\\begin{array}{c} of each experiment carried out.&lt;\/li&gt;&lt;\/ul&gt;[latex]E[X]=\\cfrac{1}{p}\n\n*** Error message:\nMissing $ inserted.\nleading text: \\begin{array}{c}\nPlease use \\mathaccent for accents in math mode.\nleading text: ...0 &lt;ul&gt;&lt;li&gt; The mean of the general distribution\nPlease use \\mathaccent for accents in math mode.\nleading text: ...&gt;&lt;li&gt; The mean of the geometric distribution\nPlease use \\mathaccent for accents in math mode.\nleading text: ...ne of the geometric distribution is\nPlease use \\mathaccent for accents in math mode.\nleading text: ...the geometric distribution is equal to\nPlease use \\mathaccent for accents in math mode.\nleading text: ...geometric tion is equal to one divided\nPlease use \\mathaccent for accents in math mode.\nleading text: ...st equals one divided by probability\nPlease use \\mathaccent for accents in math mode.\n\n<\/pre>\n<ul>\n<li> Geometrik da\u011f\u0131l\u0131m\u0131n varyans\u0131, 1 eksi <em>p<\/em> b\u00f6l\u00fc <em>p&#8217;nin<\/em> karesi fark\u0131na e\u015fde\u011ferdir.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-78ed5ca4793c0b8e221669de3e49337f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\cfrac{1-p}{p^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"128\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<ul>\n<li> Geometrik da\u011f\u0131l\u0131m\u0131n k\u00fctle fonksiyonunun form\u00fcl\u00fc \u015f\u00f6yledir:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-aa3e4c205823e02ce285a5987b818985_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[X=x]=(1-p)^{x-1}\\cdot p\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"198\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Benzer \u015fekilde geometrik da\u011f\u0131l\u0131m\u0131n k\u00fcm\u00fclatif olas\u0131l\u0131k fonksiyonu form\u00fcl\u00fc \u015f\u00f6yledir:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-88686ff4544e13c6431c27b3fc07076c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[X\\leq x]=1-(1-p)^x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"189\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Geometrik da\u011f\u0131l\u0131m, negatif binom da\u011f\u0131l\u0131m\u0131n\u0131n \u00f6zel bir durumudur. Daha do\u011frusu bu, <em>r=1<\/em> parametresi ile negatif binom da\u011f\u0131l\u0131m\u0131na e\u015fde\u011ferdir. <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7dbe3c9fff9b5b54e71dcc2632b2e177_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{BN}(1,p) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ X\\sim\\text{Geom\\'etrica}(p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"390\" style=\"vertical-align: -5px;\"><\/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\/negatif-1-binom-dagilimi\/\">Negatif binom da\u011f\u0131l\u0131m\u0131<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/binom-dagilimi-1\/\">Binom da\u011f\u0131l\u0131m\u0131<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-distribucion-geometrica\"><\/span> Geometrik Da\u011f\u0131l\u0131m Hesaplay\u0131c\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Olas\u0131l\u0131\u011f\u0131 hesaplamak i\u00e7in <em>p<\/em> parametresinin de\u011ferini ve <em>x&#8217;in<\/em> de\u011ferini 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<form action=\"\" method=\"post\">\n<div style=\"margin-bottom:20px; margin-left:5%\"> <span style=\"color:#101010;font-weight: normal;\"><span style=\"color:#1C2C92\"><strong>\u27a4<\/strong><\/span> Geometrik da\u011f\u0131l\u0131m parametresi <span style=\"color:#1C2C92\"><strong>\u2192<\/strong><\/span><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e67f693705a2e492d8981f0ed1387c3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p = \" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" style=\"vertical-align: -4px;\"><\/p>\n<p><\/span> <input name=\"prob\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce la probabilidad de \u00e9xito de cada experimento aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/div>\n<div style=\"margin-bottom:14px; margin-left:5%\"> <span style=\"color:#1C2C92\"><strong>\u27a4<\/strong><\/span> Hesaplanma olas\u0131l\u0131\u011f\u0131: <\/div>\n<div style=\"margin-bottom:14px; margin-left:10%\"><input name=\"tipoprobabilidad\" type=\"radio\" checked=\"\" value=\"probigual\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-95a78799e4906daa08ea620a942c61bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X=\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"34\" style=\"vertical-align: 0px;\"><\/p>\n<p><input name=\"xigual\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/div>\n<div style=\"margin-bottom:14px; margin-left:10%\"><input name=\"tipoprobabilidad\" type=\"radio\" value=\"probcolaizquierda\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-305e8313d9decdf3d650c7f6898a8430_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\leq\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"34\" style=\"vertical-align: -3px;\"><\/p>\n<p><input name=\"xmenor\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/div>\n<div style=\"margin-bottom:14px; margin-left:10%\"><input name=\"tipoprobabilidad\" type=\"radio\" value=\"probcoladerecha\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a8500b9856a735bc31ea1a371fc0fe88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\geq\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"34\" style=\"vertical-align: -3px;\"><\/p>\n<p><input name=\"xmayor\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/div>\n<div style=\"margin-bottom:14px; margin-left:10%\"><input name=\"tipoprobabilidad\" type=\"radio\" value=\"probentre\"><input name=\"xentre1\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a4459b2c5c9a9dd4efd3c3c155cb80bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\leq X\\leq \" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"52\" style=\"vertical-align: -3px;\"><\/p>\n<p><input name=\"xentre2\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/div>\n<div style=\"text-align:center\"><input align=\"center\" style=\"border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"Olas\u0131l\u0131\u011f\u0131 hesaplay\u0131n\"><\/div>\n<\/form>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede istatistikte geometrik da\u011f\u0131l\u0131m\u0131n ne oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. Bu nedenle geometrik da\u011f\u0131l\u0131m\u0131n tan\u0131m\u0131n\u0131, geometrik 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 geometrik da\u011f\u0131l\u0131m\u0131n herhangi bir olas\u0131l\u0131\u011f\u0131n\u0131 hesaplayabilirsiniz. Geometrik da\u011f\u0131l\u0131m nedir? Geometrik da\u011f\u0131l\u0131m, ilk ba\u015far\u0131l\u0131 sonucu elde etmek i\u00e7in gereken Bernoulli denemelerinin say\u0131s\u0131n\u0131 tan\u0131mlayan bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r. Yani, [&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-232","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 Geometrik Da\u011f\u0131l\u0131m - Olas\u0131l\u0131k ve \u0130statistik<\/title>\n<meta name=\"description\" content=\"Bu makale istatistikte geometrik da\u011f\u0131l\u0131m\u0131n ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. Bu nedenle geometrik da\u011f\u0131l\u0131m\u0131n tan\u0131m\u0131n\u0131, \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\/geometrik-dagilim-1\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Geometrik Da\u011f\u0131l\u0131m - Olas\u0131l\u0131k ve \u0130statistik\" \/>\n<meta property=\"og:description\" content=\"Bu makale istatistikte geometrik da\u011f\u0131l\u0131m\u0131n ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. Bu nedenle geometrik da\u011f\u0131l\u0131m\u0131n tan\u0131m\u0131n\u0131, \u00f6rneklerini bulacaks\u0131n\u0131z.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/geometrik-dagilim-1\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-03T21:24:33+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-22fef9b6ab8e3b351598caf9925c2b3f_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\/geometrik-dagilim-1\/\",\"url\":\"https:\/\/statorials.org\/tr\/geometrik-dagilim-1\/\",\"name\":\"\u25b7 Geometrik Da\u011f\u0131l\u0131m - Olas\u0131l\u0131k ve \u0130statistik\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-08-03T21:24:33+00:00\",\"dateModified\":\"2023-08-03T21:24:33+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu makale istatistikte geometrik da\u011f\u0131l\u0131m\u0131n ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. 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