{"id":237,"date":"2023-08-03T19:36:43","date_gmt":"2023-08-03T19:36:43","guid":{"rendered":"https:\/\/statorials.org\/tr\/ustel-dagilim-1\/"},"modified":"2023-08-03T19:36:43","modified_gmt":"2023-08-03T19:36:43","slug":"ustel-dagilim-1","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ustel-dagilim-1\/","title":{"rendered":"\u00dcstel da\u011f\u0131l\u0131m"},"content":{"rendered":"<p>Bu makalede istatistikte \u00fcstel da\u011f\u0131l\u0131m\u0131n ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 anlat\u0131lmaktad\u0131r. Ayn\u0131 \u015fekilde \u00fcstel da\u011f\u0131l\u0131m\u0131n \u00f6zelliklerinin neler oldu\u011funu, form\u00fcllerini, grafi\u011fini ve \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmay\u0131 bulacaks\u0131n\u0131z. Ek olarak, \u00e7evrimi\u00e7i bir \u00fcstel da\u011f\u0131l\u0131m hesaplay\u0131c\u0131yla herhangi bir olas\u0131l\u0131\u011f\u0131 hesaplayabileceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-exponencial\"><\/span> \u00dcstel da\u011f\u0131l\u0131m nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u00dcstel da\u011f\u0131l\u0131m,<\/strong> rastgele bir olay\u0131n meydana gelmesi i\u00e7in bekleme s\u00fcresini modellemek i\u00e7in kullan\u0131lan s\u00fcrekli bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r.<\/p>\n<p> Daha do\u011frusu \u00fcstel da\u011f\u0131l\u0131m, Poisson da\u011f\u0131l\u0131m\u0131n\u0131 takip eden iki olay aras\u0131ndaki bekleme s\u00fcresini tan\u0131mlamam\u0131za olanak tan\u0131r. Bu nedenle \u00fcstel da\u011f\u0131l\u0131m Poisson da\u011f\u0131l\u0131m\u0131yla yak\u0131ndan ili\u015fkilidir. <\/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\/balik-kanunu\/\">Poisson da\u011f\u0131l\u0131m\u0131 nedir?<\/a><\/div>\n<p> \u00dcstel da\u011f\u0131l\u0131m, Yunan harfi \u03bb ile temsil edilen karakteristik bir parametreye sahiptir ve incelenen olay\u0131n belirli bir s\u00fcre i\u00e7inde ka\u00e7 kez meydana gelmesinin beklendi\u011fini g\u00f6sterir.<\/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-05fa833356caeb193384f780ae4edac1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{Exp}(\\lambda)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"94\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Benzer \u015fekilde \u00fcstel da\u011f\u0131l\u0131m da bir ar\u0131za meydana gelene kadar ge\u00e7en s\u00fcreyi modellemek i\u00e7in kullan\u0131l\u0131r. Bu nedenle \u00fcstel da\u011f\u0131l\u0131m\u0131n g\u00fcvenilirlik ve hayatta kalma teorisinde \u00e7e\u015fitli uygulamalar\u0131 vard\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-distribuciones-exponenciales\"><\/span> \u00dcstel Da\u011f\u0131l\u0131m \u00d6rnekleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Art\u0131k \u00fcstel da\u011f\u0131l\u0131m\u0131n tan\u0131m\u0131n\u0131 bildi\u011fimize g\u00f6re, kavram\u0131 daha iyi anlamak i\u00e7in bu t\u00fcr da\u011f\u0131l\u0131m\u0131n birka\u00e7 \u00f6rne\u011fine bakal\u0131m.<\/p>\n<p> <strong><u style=\"text-decoration-color:#FF8A05\">\u00dcstel 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;\">\u00c7a\u011fr\u0131 merkezinde iki \u00e7a\u011fr\u0131 aras\u0131nda ge\u00e7en s\u00fcre.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Bir ki\u015finin belirli bir caddeden \u00fccretsiz bir taksi ge\u00e7mesine kadar beklemesi gereken s\u00fcre.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Yeni bir m\u00fc\u015fterinin ma\u011fazaya girmesine kadar ge\u00e7en s\u00fcre.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u0130ki farkl\u0131 kullan\u0131c\u0131n\u0131n bir web sayfas\u0131na girmesi aras\u0131nda ge\u00e7en s\u00fcre.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Havaalan\u0131nda bir u\u00e7a\u011f\u0131n kalk\u0131\u015f\u0131ndan di\u011ferinin kalk\u0131\u015f\u0131na kadar ge\u00e7en s\u00fcre.<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-exponencial\"><\/span> \u00dcstel da\u011f\u0131l\u0131m form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u00dcstel da\u011f\u0131l\u0131m olas\u0131l\u0131\u011f\u0131n\u0131n hesaplanmas\u0131n\u0131 tan\u0131mlayan yo\u011funluk fonksiyonu form\u00fcl\u00fc, \u03bb \u00e7arp\u0131 e say\u0131s\u0131 \u00fczeri negatif \u03bb \u00e7arp\u0131 x&#8217;e e\u015fittir.<\/p>\n<p> Ba\u015fka bir deyi\u015fle <strong>\u00fcstel da\u011f\u0131l\u0131m olas\u0131l\u0131\u011f\u0131n\u0131 hesaplama form\u00fcl\u00fc<\/strong> a\u015fa\u011f\u0131daki gibidir: <\/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-exponentielle.png\" alt=\"\u00fcstel da\u011f\u0131l\u0131m form\u00fcl\u00fc\" class=\"wp-image-4891\" width=\"252\" height=\"252\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \ud83d\udc49 <u style=\"text-decoration-color:#FF8A05;\">\u00dcstel 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 \u00fcstel da\u011f\u0131l\u0131m\u0131n k\u00fcm\u00fclatif olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in form\u00fcl a\u015fa\u011f\u0131daki gibidir: <\/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-ff4b15c1307aa0187d806d3aa9c394d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[X\\leq x]=1-e^{-\\lambda x}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"163\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"grafica-de-la-distribucion-exponencial\"><\/span> \u00dcstel da\u011f\u0131l\u0131m grafi\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bu b\u00f6l\u00fcmde \u00fcstel da\u011f\u0131l\u0131ma ait yo\u011funluk fonksiyonunun ve da\u011f\u0131l\u0131m fonksiyonunun grafiksel g\u00f6sterimini g\u00f6rebilirsiniz.<\/p>\n<p> A\u015fa\u011f\u0131da \u00fcstel da\u011f\u0131l\u0131m\u0131n yo\u011funluk fonksiyonu grafi\u011finin \u03bb parametresinin de\u011ferine ba\u011fl\u0131 olarak nas\u0131l de\u011fi\u015fti\u011fini g\u00f6rebilirsiniz. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/distribution-graphique-exponentielle.png\" alt=\"\u00fcstel da\u011f\u0131l\u0131m grafi\u011fi\" class=\"wp-image-4897\" width=\"604\" height=\"394\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Benzer \u015fekilde \u00fcstel da\u011f\u0131l\u0131m\u0131n k\u00fcm\u00fclatif olas\u0131l\u0131k fonksiyonu da a\u015fa\u011f\u0131daki grafikte g\u00f6rebilece\u011finiz gibi \u03bb parametresinin de\u011ferine ba\u011fl\u0131d\u0131r: <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/distribution-exponentielle-probabilite-cumulative.png\" alt=\"\u00fcstel k\u00fcm\u00fclatif da\u011f\u0131l\u0131m olas\u0131l\u0131k grafi\u011fi\" class=\"wp-image-4898\" width=\"604\" height=\"395\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicio-resuelto-de-la-distribucion-exponencial\"><\/span> \u00dcstel da\u011f\u0131l\u0131mla ilgili \u00e7\u00f6z\u00fclm\u00fc\u015f al\u0131\u015ft\u0131rma<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li> Ortalama olarak \u03bb=1 kullan\u0131c\u0131\/dak belirli bir web sayfas\u0131na eri\u015fir. \u0130ki kullan\u0131c\u0131n\u0131n giri\u015fi aras\u0131ndaki s\u00fcrenin 3 dakika olma olas\u0131l\u0131\u011f\u0131 nedir? Peki bunun 2 dakikaya e\u015fit veya daha az olma olas\u0131l\u0131\u011f\u0131?<\/li>\n<\/ul>\n<p> Bu problemin rastgele de\u011fi\u015fkenini tan\u0131mlayan da\u011f\u0131l\u0131m \u00fcstel bir da\u011f\u0131l\u0131md\u0131r, \u00e7\u00fcnk\u00fc bir olay\u0131n meydana geldi\u011fi andan (bir kullan\u0131c\u0131n\u0131n web sayfas\u0131na giri\u015fi) ayn\u0131 olay\u0131n tekrar ger\u00e7ekle\u015fmesine kadar ge\u00e7en s\u00fcreyi inceliyoruz.<\/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-a843576c35aa4a4062a40dfed3da7ffe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{Exp}(1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"93\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Bu nedenle, iki farkl\u0131 kullan\u0131c\u0131n\u0131n giri\u015fi aras\u0131nda ge\u00e7en s\u00fcrenin \u00fc\u00e7 dakika olma olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in yo\u011funluk fonksiyonu form\u00fcl\u00fcn\u00fc uygulamam\u0131z gerekir (yukar\u0131ya bak\u0131n):<\/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-4eb2d6e5190f313d74831763613683ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P[X=x]&amp;=\\lambda e^{-\\lambda x}\\\\[2ex]P[X=3]&amp;=1\\cdot e^{-1\\cdot 3}\\\\[2ex]P[X=3]&amp;=0,05\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"156\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u00d6te yandan, k\u00fcm\u00fclatif bir olas\u0131l\u0131\u011f\u0131 belirlemek i\u00e7in \u00fcstel da\u011f\u0131l\u0131m\u0131n da\u011f\u0131l\u0131m fonksiyonu form\u00fcl\u00fcn\u00fc kullanmal\u0131y\u0131z: <\/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-5ff6ef636fd31aec708b387669a68b93_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P[X\\leq x]&amp;=1- e^{-\\lambda x}\\\\[2ex]P[X\\leq 2]&amp;=1-e^{-1\\cdot 2}\\\\[2ex]P[X\\leq 2]&amp;=0,86\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"165\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-exponencial\"><\/span> \u00dcstel da\u011f\u0131l\u0131m\u0131n \u00f6zellikleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u00dcstel da\u011f\u0131l\u0131m a\u015fa\u011f\u0131daki \u00f6zelliklere sahiptir:<\/p>\n<ul>\n<li> \u00dcstel da\u011f\u0131l\u0131m, incelenen olgunun belirli bir s\u00fcre i\u00e7inde ka\u00e7 kez meydana gelmesinin beklendi\u011fini g\u00f6steren karakteristik bir parametre olan \u03bb&#8217;ya sahiptir.<\/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-05fa833356caeb193384f780ae4edac1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{Exp}(\\lambda)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"94\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u00dcstel da\u011f\u0131l\u0131m negatif bir de\u011fer alamaz, dolay\u0131s\u0131yla \u00fcstel da\u011f\u0131l\u0131m\u0131n alan\u0131 s\u0131f\u0131rdan b\u00fcy\u00fck veya s\u0131f\u0131ra e\u015fit t\u00fcm ger\u00e7ek say\u0131lardan olu\u015fur.<\/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-857b41e1aa6e3fc962595eabd52a18e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\in [0,+\\infty)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"91\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u00dcstel da\u011f\u0131l\u0131m\u0131n ortalamas\u0131, \u03bb karakteristik parametresine b\u00f6l\u00fcnen say\u0131ya 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-6a805fe49674e7a84b44057fbd17dfe4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E[X]=\\cfrac{1}{\\lambda}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"77\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> \u00dcstel da\u011f\u0131l\u0131m\u0131n varyans\u0131, ortalamas\u0131n\u0131n karesidir, dolay\u0131s\u0131yla \u00fcstel da\u011f\u0131l\u0131m\u0131n varyans\u0131, \u03bb kare katsay\u0131s\u0131n\u0131n bire 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-d3e1c6b567a5c0c7f78d58da0920163f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\cfrac{1}{\\lambda^2 }\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"107\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> \u03bb de\u011feri ne olursa olsun \u00fcstel da\u011f\u0131l\u0131m\u0131n asimetri katsay\u0131s\u0131 her zaman 2&#8217;ye 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-43776536b020abda26e5455770a96cfb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A=2\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"45\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> Benzer \u015fekilde herhangi bir \u00fcstel da\u011f\u0131l\u0131m\u0131n bas\u0131kl\u0131k katsay\u0131s\u0131 her zaman 9&#8217;a 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-a42692dc0052ffa4b4f5b962b9b7ee8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C=9\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"47\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> \u00dcstel da\u011f\u0131l\u0131m\u0131n yo\u011funluk 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-1fbbfe61ec775833503ec58212783f3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[X=x]=\\lambda e^{-\\lambda x}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"142\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u00dcstel da\u011f\u0131l\u0131m\u0131n k\u00fcm\u00fclatif olas\u0131l\u0131k fonksiyonunun form\u00fcl\u00fc 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-ff4b15c1307aa0187d806d3aa9c394d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[X\\leq x]=1-e^{-\\lambda x}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"163\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u00dcstel da\u011f\u0131l\u0131m, yetersiz bellek \u00f6zelli\u011fine sahip birka\u00e7 olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131ndan biridir. Bu \u00f6zellik, daha \u00f6nceki bir olay\u0131n meydana gelmesinin, o olay\u0131n gelecekte meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131 etkilemedi\u011fi anlam\u0131na gelir. \u00d6rne\u011fin, \u00fcstel bir da\u011f\u0131l\u0131mda, yeni bir kullan\u0131c\u0131n\u0131n bir web sayfas\u0131na bir dakikadan daha k\u0131sa bir s\u00fcre i\u00e7inde eri\u015fme olas\u0131l\u0131\u011f\u0131, kullan\u0131c\u0131n\u0131n yeni girmi\u015f olmas\u0131na veya o zamandan beri hi\u00e7bir kullan\u0131c\u0131n\u0131n girmemi\u015f olmas\u0131na ba\u011fl\u0131 de\u011fildir. on dakikadan fazla. <\/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-6f7c755e5b48eb203c51c97d7bc7ec7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[X>x+y|X>y]=P[X>x]&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;19&#8243; width=&#8221;254&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-distribucion-exponencial\"><\/span> \u00dcstel 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>\u03bb<\/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 (\u00f6rne\u011fin 0,50) girmeniz gerekir.<\/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> \u00dcstel da\u011f\u0131l\u0131m\u0131n 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-f682847720652fc976a036d9b8779f83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda = \" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" style=\"vertical-align: 0px;\"><\/p>\n<p><\/span> <input name=\"lambda\" 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 del par\u00e1metro \u03bb 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 hesapla\"><\/div>\n<\/form>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede istatistikte \u00fcstel da\u011f\u0131l\u0131m\u0131n ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 anlat\u0131lmaktad\u0131r. Ayn\u0131 \u015fekilde \u00fcstel da\u011f\u0131l\u0131m\u0131n \u00f6zelliklerinin neler oldu\u011funu, form\u00fcllerini, grafi\u011fini ve \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmay\u0131 bulacaks\u0131n\u0131z. Ek olarak, \u00e7evrimi\u00e7i bir \u00fcstel da\u011f\u0131l\u0131m hesaplay\u0131c\u0131yla herhangi bir olas\u0131l\u0131\u011f\u0131 hesaplayabileceksiniz. \u00dcstel da\u011f\u0131l\u0131m nedir? \u00dcstel da\u011f\u0131l\u0131m, rastgele bir olay\u0131n meydana gelmesi i\u00e7in bekleme s\u00fcresini modellemek i\u00e7in kullan\u0131lan s\u00fcrekli bir [&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-237","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 \u00dcstel da\u011f\u0131l\u0131m<\/title>\n<meta name=\"description\" content=\"Burada \u00fcstel da\u011f\u0131l\u0131m\u0131n ne oldu\u011funu, \u00f6zelliklerini, 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