{"id":233,"date":"2023-08-03T20:59:59","date_gmt":"2023-08-03T20:59:59","guid":{"rendered":"https:\/\/statorials.org\/tr\/negatif-1-binom-dagilimi\/"},"modified":"2023-08-03T20:59:59","modified_gmt":"2023-08-03T20:59:59","slug":"negatif-1-binom-dagilimi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/negatif-1-binom-dagilimi\/","title":{"rendered":"Negatif binom da\u011f\u0131l\u0131m\u0131"},"content":{"rendered":"<p>Bu makalede negatif binom da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Ayr\u0131ca negatif binom da\u011f\u0131l\u0131m\u0131n\u0131n form\u00fcl\u00fcn\u00fc, somut bir \u00f6rne\u011fini ve bu t\u00fcr olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131n \u00f6zelliklerini de bulacaks\u0131n\u0131z. Son olarak, herhangi bir negatif binom da\u011f\u0131l\u0131m olas\u0131l\u0131\u011f\u0131n\u0131 \u00e7evrimi\u00e7i bir hesap makinesiyle hesaplayabileceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-binomial-negativa\"><\/span> Negatif binom da\u011f\u0131l\u0131m\u0131 nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Negatif binom da\u011f\u0131l\u0131m\u0131,<\/strong> belirli say\u0131da pozitif sonu\u00e7 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> Bu nedenle, negatif bir binom da\u011f\u0131l\u0131m\u0131n\u0131n iki karakteristik parametresi vard\u0131r: <em>r<\/em> , arzu edilen ba\u015far\u0131l\u0131 sonu\u00e7lar\u0131n say\u0131s\u0131d\u0131r ve <em>p<\/em> , ger\u00e7ekle\u015ftirilen her Bernoulli deneyinin ba\u015far\u0131 olas\u0131l\u0131\u011f\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-171122de529a1c006bc46e8d89176016_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{BN}(r,p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"103\" style=\"vertical-align: -5px;\"><\/p>\n<\/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> Dolay\u0131s\u0131yla negatif binom da\u011f\u0131l\u0131m\u0131, pozitif <em>sonu\u00e7lar<\/em> elde etmek i\u00e7in gerekti\u011fi kadar Bernoulli denemesinin yap\u0131ld\u0131\u011f\u0131 bir s\u00fcreci tan\u0131mlar. Ayr\u0131ca, t\u00fcm bu Bernoulli denemeleri ba\u011f\u0131ms\u0131zd\u0131r ve sabit bir <em>ba\u015far\u0131<\/em> olas\u0131l\u0131\u011f\u0131na sahiptir.<\/p>\n<p> \u00d6rne\u011fin, negatif binom da\u011f\u0131l\u0131m\u0131n\u0131 takip eden rastgele bir de\u011fi\u015fken, 6 say\u0131s\u0131 \u00fc\u00e7 kez at\u0131lana kadar bir zar\u0131n ka\u00e7 kez at\u0131lmas\u0131 gerekti\u011fidir.<\/p>\n<p> Negatif binom da\u011f\u0131l\u0131m\u0131 ile binom da\u011f\u0131l\u0131m\u0131 aras\u0131ndaki fark, negatif binom da\u011f\u0131l\u0131m\u0131n\u0131n belirli say\u0131da ba\u015far\u0131l\u0131 sonu\u00e7 elde etmek i\u00e7in gereken say\u0131y\u0131 saymas\u0131, binom da\u011f\u0131l\u0131m\u0131n\u0131n ise bir dizi Bernoulli testindeki ba\u015far\u0131l\u0131 vakalar\u0131n say\u0131s\u0131n\u0131 saymas\u0131d\u0131r. <\/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\/binom-dagilimi-1\/\">Binom da\u011f\u0131l\u0131m\u0131 nedir?<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-binomial-negativa\"><\/span> Negatif binom da\u011f\u0131l\u0131m form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <em>r, p, x parametreleri g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda,<\/em> negatif binom da\u011f\u0131l\u0131m\u0131n\u0131n olas\u0131l\u0131\u011f\u0131, <em>xr&#8217;deki<\/em> <em>x-1&#8217;in<\/em> kombinatoryal say\u0131s\u0131n\u0131n <em>(1-p) <sup>xr<\/sup><\/em> ile <em>p <sup>r<\/sup><\/em> ile \u00e7arp\u0131lmas\u0131yla hesaplan\u0131r.<\/p>\n<p> Dolay\u0131s\u0131yla, <strong>negatif binom da\u011f\u0131l\u0131m olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in form\u00fcl<\/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-binomiale-negative.png\" alt=\"Negatif binom da\u011f\u0131l\u0131m form\u00fcl\u00fc\" class=\"wp-image-4813\" width=\"318\" height=\"319\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \ud83d\udc49Negatif <u style=\"text-decoration-color:#FF8A05;\">binom 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<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicio-resuelto-de-la-distribucion-binomial-negativa\"><\/span> Negatif binom da\u011f\u0131l\u0131m\u0131n\u0131n \u00e7\u00f6z\u00fclm\u00fc\u015f al\u0131\u015ft\u0131rmas\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li> Bir paray\u0131 sekiz kez att\u0131\u011f\u0131n\u0131zda, sekizinci at\u0131\u015fta d\u00f6rd\u00fcnc\u00fc kez tura gelme olas\u0131l\u0131\u011f\u0131 nedir?<\/li>\n<\/ul>\n<p> \u00d6ncelikle para at\u0131ld\u0131\u011f\u0131nda tura gelme olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamam\u0131z gerekir. Bu durumda, iki olas\u0131 sonu\u00e7tan (tura ve yaz\u0131) yaln\u0131zca bir pozitif sonuca (tura) sahibiz, dolay\u0131s\u0131yla ba\u015far\u0131 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-bdceac6409b69d142f23801ec85e2691_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p=\\cfrac{1}{2}=0,5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"93\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Dolay\u0131s\u0131yla bu problemdeki rastgele de\u011fi\u015fken, r=4 ve p=0,5 olan negatif bir binom da\u011f\u0131l\u0131m\u0131n\u0131 takip eder. Bu nedenle, egzersizin bizden yapmam\u0131z\u0131 istedi\u011fi olas\u0131l\u0131\u011f\u0131 hesaplamak i\u00e7in negatif binom da\u011f\u0131l\u0131m form\u00fcl\u00fcn\u00fc kullan\u0131yoruz. <\/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-bc56100604e5889a6d169c0395f19ebe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P[X=x]&amp;=\\begin{pmatrix}x-1\\\\ x-r\\end{pmatrix}\\cdot (1-p)^{x-r}\\cdot p^r\\\\[2ex]\\displaystyle P[X=8]&amp;=\\begin{pmatrix}8-1\\\\ 8-4\\end{pmatrix}\\cdot (1-0,5)^{8-4}\\cdot 0,5^4\\\\[2ex] P[X=8]&amp;=0,1367\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"151\" width=\"316\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-binomial-negativa\"><\/span> Negatif binom da\u011f\u0131l\u0131m\u0131n\u0131n \u00f6zellikleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Negatif binom da\u011f\u0131l\u0131m\u0131n\u0131n en \u00f6nemli \u00f6zellikleri a\u015fa\u011f\u0131da verilmi\u015ftir.<\/p>\n<ul>\n<li> Negatif binom da\u011f\u0131l\u0131m\u0131 iki karakteristik parametreyle tan\u0131mlan\u0131r: <em>r<\/em> , istenen ba\u015far\u0131l\u0131 sonu\u00e7lar\u0131n say\u0131s\u0131d\u0131r ve <em>p<\/em> , ger\u00e7ekle\u015ftirilen her Bernoulli deneyinin ba\u015far\u0131 olas\u0131l\u0131\u011f\u0131d\u0131r.<\/li>\n<\/ul>\n<pre class=\"ql-errors\"> *** QuickLaTeX cannot compile formula:\n\\begin{array}{c}r\\in \\mathbb{Z}^+ \\\\[2ex] 0 &lt;ul&gt;&lt;li&gt; The mean of the negative binomial distribution is equal to &lt;em&gt;r&lt;\/em&gt; multiplied by &lt;em&gt;(1-p)&lt;\/em&gt; and divided by &lt;em&gt;p&lt;\/em&gt; . Thus the formula which makes it possible to calculate the mean of a negative binomial distribution is the following: &lt;\/li&gt;&lt;\/ul&gt;[latex]E[X]=\\cfrac{r\\cdot (1-p)}{p}\n\n*** Error message:\nMissing $ inserted.\nleading text: \\begin{array}{c}\nPlease use \\mathaccent for accents in math mode.\nleading text: ...The mean of the binomial distribution born\nPlease use \\mathaccent for accents in math mode.\nleading text: ... the negative binomial distribution is\nPlease use \\mathaccent for accents in math mode.\nleading text: ...negative binomial distribution is equal to\nPlease use \\mathaccent for accents in math mode.\nleading text: ...gative is equal to &lt;em&gt;r&lt;\/em&gt; multiplied\nPlease use \\mathaccent for accents in math mode.\nleading text: ...m&gt; multiplied by &lt;em&gt;(1-p)&lt;\/em&gt; and divided\nPlease use \\mathaccent for accents in math mode.\nleading text: ...the mean of a binomial distribution born\n\\begin{array} on input line 8 ended by \\end{document}.\n\n<\/pre>\n<ul>\n<li> Negatif binom da\u011f\u0131l\u0131m\u0131n\u0131n varyans\u0131, <em>r<\/em> \u00e7arp\u0131 <em>(1-p)<\/em> b\u00f6l\u00fc <em>p <sup>2&#8217;ye<\/sup><\/em> e\u015fittir.<\/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-c82d66018d0715f20318f383cf7c04c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\cfrac{r\\cdot (1-p)}{p^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"163\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<ul>\n<li> <em>r<\/em> parametresi 1&#8217;den b\u00fcy\u00fckse, negatif binom da\u011f\u0131l\u0131m\u0131n\u0131n modu a\u015fa\u011f\u0131daki form\u00fclle hesaplanabilir:<\/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-600d3f94b3cd3927f264450bcd043a86_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lfloor \\frac{(r-1)(1-p)}{p}\\rfloor\\quad \\text{para }r>1&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;42&#8243; width=&#8221;221&#8243; style=&#8221;vertical-align: -16px;&#8221;><\/p>\n<\/p>\n<ul>\n<li> Negatif binom da\u011f\u0131l\u0131m\u0131n\u0131n olas\u0131l\u0131\u011f\u0131n\u0131 belirlemeyi m\u00fcmk\u00fcn k\u0131lan k\u00fctle fonksiyonu a\u015fa\u011f\u0131daki gibidir:<\/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-beafc8c08e7aad51059349dfd2addd5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[X=x]=\\begin{pmatrix}x-1\\\\ x-r\\end{pmatrix}\\cdot (1-p)^{x-r}\\cdot p^r\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"284\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul>\n<li> Negatif binom da\u011f\u0131l\u0131m\u0131n\u0131n \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131 a\u015fa\u011f\u0131daki ifadeyle hesaplan\u0131r:<\/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-9bc0a97cdf77d4dd439c71cf8637e53c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\frac{2-p}{\\sqrt{r\\,(1-p)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"122\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<ul>\n<li> Negatif binom da\u011f\u0131l\u0131m\u0131n\u0131n bas\u0131kl\u0131\u011f\u0131 a\u015fa\u011f\u0131daki form\u00fclle bulunabilir:<\/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-510199601f8ac60aa64008f00d959562_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C=\\frac{6}{r} + \\frac{p^2}{r\\,(1-p)}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"139\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul>\n<li> E\u011fer <em>r<\/em> parametresi 1&#8217;e e\u015fitse, <a href=\"https:\/\/statorials.org\/tr\/geometrik-dagilim\/\">geometrik da\u011f\u0131l\u0131m<\/a> durumuyla kar\u015f\u0131 kar\u015f\u0131yay\u0131z. <\/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-24bb5ef017a69a1a9de1e07f32412fcc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r=1 \\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad X\\sim \\text{Geometrica}(p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"350\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-distribucion-binomial-negativa\"><\/span> Negatif Binom Da\u011f\u0131l\u0131m\u0131 Hesaplay\u0131c\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Olas\u0131l\u0131\u011f\u0131 hesaplamak i\u00e7in <em>r, p, x<\/em> parametrelerinin de\u011ferlerini a\u015fa\u011f\u0131daki hesap makinesine girin. Say\u0131lar\u0131 ondal\u0131k ay\u0131r\u0131c\u0131 olarak noktay\u0131 kullanarak girmelisiniz, \u00f6rne\u011fin 0,50.<\/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> Ba\u015far\u0131l\u0131 sonu\u00e7lar\u0131n say\u0131s\u0131 <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-2060a909f2905bcbe83f8fe9152c2284_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r = \" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"26\" style=\"vertical-align: 0px;\"><\/p>\n<p><\/span> <input name=\"r\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce el valor de r aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/div>\n<div style=\"margin-bottom:20px; margin-left:5%\"> <span style=\"color:#101010;font-weight: normal;\"><span style=\"color:#1C2C92\"><strong>\u27a4<\/strong><\/span> Her deneyin ba\u015far\u0131 olas\u0131l\u0131\u011f\u0131 <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 el valor de p aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/div>\n<div style=\"margin-bottom:20px; margin-left:5%\"> <span style=\"color:#101010;font-weight: normal;\"><span style=\"color:#1C2C92\"><strong>\u27a4<\/strong><\/span> Ger\u00e7ekle\u015ftirilen toplam deney say\u0131s\u0131 <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-04ae6e91e4423afa96cc9b717c007c88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"28\" style=\"vertical-align: 0px;\"><\/p>\n<p><\/span> <input name=\"xigual\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce el valor de x aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/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 negatif binom da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Ayr\u0131ca negatif binom da\u011f\u0131l\u0131m\u0131n\u0131n form\u00fcl\u00fcn\u00fc, somut bir \u00f6rne\u011fini ve bu t\u00fcr olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131n \u00f6zelliklerini de bulacaks\u0131n\u0131z. Son olarak, herhangi bir negatif binom da\u011f\u0131l\u0131m olas\u0131l\u0131\u011f\u0131n\u0131 \u00e7evrimi\u00e7i bir hesap makinesiyle hesaplayabileceksiniz. Negatif binom da\u011f\u0131l\u0131m\u0131 nedir? Negatif binom da\u011f\u0131l\u0131m\u0131, belirli say\u0131da pozitif sonu\u00e7 elde etmek i\u00e7in [&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-233","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 Negatif Binom Da\u011f\u0131l\u0131m\u0131 - Olas\u0131l\u0131k ve \u0130statistik<\/title>\n<meta name=\"description\" content=\"Bu makalede negatif binom da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Ayr\u0131ca negatif binom da\u011f\u0131l\u0131m\u0131n\u0131n form\u00fcl\u00fcn\u00fc de bulacaks\u0131n\u0131z: a \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\/negatif-1-binom-dagilimi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Negatif Binom Da\u011f\u0131l\u0131m\u0131 - Olas\u0131l\u0131k ve \u0130statistik\" \/>\n<meta property=\"og:description\" content=\"Bu makalede negatif binom da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Ayr\u0131ca negatif binom da\u011f\u0131l\u0131m\u0131n\u0131n form\u00fcl\u00fcn\u00fc de bulacaks\u0131n\u0131z: a \u2705\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/negatif-1-binom-dagilimi\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-03T20:59:59+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-171122de529a1c006bc46e8d89176016_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\/negatif-1-binom-dagilimi\/\",\"url\":\"https:\/\/statorials.org\/tr\/negatif-1-binom-dagilimi\/\",\"name\":\"\u25b7 Negatif Binom Da\u011f\u0131l\u0131m\u0131 - Olas\u0131l\u0131k ve \u0130statistik\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-08-03T20:59:59+00:00\",\"dateModified\":\"2023-08-03T20:59:59+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu makalede negatif binom da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. 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