{"id":1499,"date":"2023-07-26T03:37:19","date_gmt":"2023-07-26T03:37:19","guid":{"rendered":"https:\/\/statorials.org\/tr\/binom-dagilimi-gercek-ornekleri\/"},"modified":"2023-07-26T03:37:19","modified_gmt":"2023-07-26T03:37:19","slug":"binom-dagilimi-gercek-ornekleri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/binom-dagilimi-gercek-ornekleri\/","title":{"rendered":"Binom da\u011f\u0131l\u0131m\u0131n\u0131n 5 somut \u00f6rne\u011fi"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/binom-dagilimi-1\/\" target=\"_blank\" rel=\"noopener\">Binom da\u011f\u0131l\u0131m\u0131,<\/a><\/span> <span style=\"color: #000000;\">belirli say\u0131da denemede meydana gelen belirli say\u0131da &#8220;ba\u015far\u0131&#8221; olas\u0131l\u0131\u011f\u0131n\u0131 modellemek i\u00e7in kullan\u0131lan bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu yaz\u0131m\u0131zda binom da\u011f\u0131l\u0131m\u0131n\u0131n ger\u00e7ek d\u00fcnyada nas\u0131l kullan\u0131ld\u0131\u011f\u0131na dair 5 \u00f6rnek payla\u015f\u0131yoruz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: \u0130laca ba\u011fl\u0131 yan etkilerin say\u0131s\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Sa\u011fl\u0131k uzmanlar\u0131, belirli say\u0131da hastan\u0131n yeni ila\u00e7 kullan\u0131m\u0131ndan dolay\u0131 yan etkiler ya\u015fama olas\u0131l\u0131\u011f\u0131n\u0131 modellemek i\u00e7in binom da\u011f\u0131l\u0131m\u0131n\u0131 kullan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir ilac\u0131 alan yeti\u015fkinlerin %5&#8217;inin olumsuz yan etkilerle kar\u015f\u0131la\u015ft\u0131\u011f\u0131n\u0131 bildi\u011fimizi varsayal\u0131m. 100 ki\u015filik rastgele bir \u00f6rneklemde belirli say\u0131dan daha fazla hastan\u0131n olumsuz yan etkiler ya\u015famas\u0131 olas\u0131l\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in binom da\u011f\u0131l\u0131m hesaplay\u0131c\u0131s\u0131n\u0131 kullanabiliriz.<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P (X &gt; 5 hastada yan etkiler var) = <strong><span id=\"exactP\">0,38400<\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P (X &gt; 10 hastada yan etkiler vard\u0131r) = <strong><span id=\"exactP\">0,01147<\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P (X &gt; 15 hastada yan etkiler vard\u0131r) = <strong><span id=\"exactP\">0,0004<\/span><\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ve benzeri.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, sa\u011fl\u0131k uzmanlar\u0131na belirli say\u0131da hastan\u0131n olumsuz yan etkiler ya\u015fama olas\u0131l\u0131\u011f\u0131 konusunda fikir verir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Hileli i\u015flemlerin say\u0131s\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bankalar, belirli say\u0131da kredi kart\u0131 i\u015fleminin hileli olma olas\u0131l\u0131\u011f\u0131n\u0131 modellemek i\u00e7in binom da\u011f\u0131l\u0131m\u0131n\u0131 kullan\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir b\u00f6lgedeki t\u00fcm kredi kart\u0131 i\u015flemlerinin %2&#8217;sinin sahtekarl\u0131k ama\u00e7l\u0131 oldu\u011funun bilindi\u011fini varsayal\u0131m. Belirli bir b\u00f6lgede g\u00fcnde 50 i\u015flem varsa, belirli bir g\u00fcnde belirli say\u0131dan fazla hileli i\u015flemin meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in binom da\u011f\u0131l\u0131m hesaplay\u0131c\u0131s\u0131n\u0131 kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(X &gt; 1 hileli i\u015flem) = <strong><span id=\"exactP\">0,26423<\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X &gt; 2 hileli i\u015flem) = <strong><span id=\"exactP\">0,07843<\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X &gt; 3 hileli i\u015flem) = <strong><span id=\"exactP\">0,01776<\/span><\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ve benzeri.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, bankalara belirli bir g\u00fcnde belirli say\u0131da hileli i\u015flemin ger\u00e7ekle\u015fme ihtimalinin ne kadar y\u00fcksek oldu\u011funa dair bir fikir veriyor.<\/span><\/p>\n<h3> <strong>\u00d6rnek 3: g\u00fcnl\u00fck spam e-posta say\u0131s\u0131<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">E-posta \u015firketleri, her g\u00fcn belirli say\u0131da spam e-postan\u0131n gelen kutusuna d\u00fc\u015fme olas\u0131l\u0131\u011f\u0131n\u0131 modellemek i\u00e7in binom da\u011f\u0131l\u0131m\u0131n\u0131 kullan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin t\u00fcm e-postalar\u0131n %4&#8217;\u00fcn\u00fcn spam oldu\u011funun bilindi\u011fini varsayal\u0131m. Bir hesap belirli bir g\u00fcnde 20 e-posta al\u0131rsa, bu e-postalar\u0131n belirli bir k\u0131sm\u0131n\u0131n spam olma olas\u0131l\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in binom da\u011f\u0131l\u0131m hesaplay\u0131c\u0131s\u0131n\u0131 kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(X = 0 spam) = <strong><span id=\"exactP\">0,44200<\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X = 1 spam) = <strong><span id=\"exactP\">0,36834<\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X = 2 spam) = <strong><span id=\"exactP\">0,14580<\/span><\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ve benzeri.<\/span><\/p>\n<h3> <strong>\u00d6rnek 4: Nehir ta\u015fmalar\u0131n\u0131n say\u0131s\u0131<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Park sistemleri, a\u015f\u0131r\u0131 ya\u011f\u0131\u015f nedeniyle nehirlerin her y\u0131l belirli say\u0131da ta\u015fma olas\u0131l\u0131\u011f\u0131n\u0131 modellemek i\u00e7in binom da\u011f\u0131l\u0131m\u0131n\u0131 kullan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir nehrin t\u00fcm f\u0131rt\u0131nalar\u0131n %5&#8217;inde ta\u015ft\u0131\u011f\u0131n\u0131n bilindi\u011fini varsayal\u0131m. Belirli bir y\u0131lda 20 f\u0131rt\u0131na varsa, nehrin belirli say\u0131da ta\u015fma olas\u0131l\u0131\u011f\u0131n\u0131 bulmak i\u00e7in binom da\u011f\u0131l\u0131m hesaplay\u0131c\u0131s\u0131n\u0131 kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(X = 0 ta\u015fma) = <strong><span id=\"exactP\">0,35849<\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X = 1 ta\u015fma) = <strong><span id=\"exactP\">0,37735<\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X = 2 ta\u015fma) = <strong><span id=\"exactP\">0,18868<\/span><\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ve benzeri.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, park hizmetlerine y\u0131l boyunca ta\u015fmalara kar\u015f\u0131 ka\u00e7 kez haz\u0131rlanmalar\u0131 gerekebilece\u011fine dair bir fikir veriyor.<\/span><\/p>\n<h3> <strong>\u00d6rnek 5: Haftal\u0131k sat\u0131n alma iadeleri<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Perakende ma\u011fazalar\u0131, her hafta belirli say\u0131da sat\u0131n alma iadesi alma olas\u0131l\u0131\u011f\u0131n\u0131 modellemek i\u00e7in binom da\u011f\u0131l\u0131m\u0131n\u0131 kullan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, t\u00fcm sipari\u015flerin %10&#8217;unun her hafta belirli bir ma\u011fazaya iade edildi\u011finin bilindi\u011fini varsayal\u0131m. O hafta 50 sipari\u015f varsa ma\u011fazan\u0131n o hafta belirli bir say\u0131dan daha fazla iade alma olas\u0131l\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in binom da\u011f\u0131l\u0131m hesaplay\u0131c\u0131s\u0131n\u0131 kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(X &gt; 5 d\u00f6nd\u00fcr\u00fcr) = <strong><span id=\"exactP\">0,18492<\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X &gt; 10 getiri) = <strong><span id=\"exactP\">0,00935<\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X &gt; 15 d\u00f6nd\u00fcr\u00fcr) = <strong><span id=\"exactP\">0,00002<\/span><\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ve benzeri.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, ma\u011fazaya, iadeleri i\u015fleme almak i\u00e7in o hafta ma\u011fazada ka\u00e7 m\u00fc\u015fteri hizmetleri temsilcisine ihtiya\u00e7 duydu\u011fu konusunda bir fikir verir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/normal-dagilim-ornegi\/\" target=\"_blank\" rel=\"noopener\">Normal da\u011f\u0131l\u0131m\u0131n 6 somut \u00f6rne\u011fi<\/a><br \/><a href=\"https:\/\/statorials.org\/tr\/balik-dagitimi-gercek-ornekleri\/\" target=\"_blank\" rel=\"noopener\">Poisson da\u011f\u0131l\u0131m\u0131n\u0131n 5 somut \u00f6rne\u011fi<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/geometrik-dagilim-gercek-ornekleri\/\" target=\"_blank\" rel=\"noopener\">Geometrik da\u011f\u0131l\u0131ma 5 somut \u00f6rnek<\/a><br \/><a href=\"https:\/\/statorials.org\/tr\/duzgun-dagilim-gercek-ornekleri\/\" target=\"_blank\" rel=\"noopener\">D\u00fczg\u00fcn da\u011f\u0131l\u0131ma 5 somut \u00f6rnek<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Binom da\u011f\u0131l\u0131m\u0131, belirli say\u0131da denemede meydana gelen belirli say\u0131da &#8220;ba\u015far\u0131&#8221; olas\u0131l\u0131\u011f\u0131n\u0131 modellemek i\u00e7in kullan\u0131lan bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r. Bu yaz\u0131m\u0131zda binom da\u011f\u0131l\u0131m\u0131n\u0131n ger\u00e7ek d\u00fcnyada nas\u0131l kullan\u0131ld\u0131\u011f\u0131na dair 5 \u00f6rnek payla\u015f\u0131yoruz. \u00d6rnek 1: \u0130laca ba\u011fl\u0131 yan etkilerin say\u0131s\u0131 Sa\u011fl\u0131k uzmanlar\u0131, belirli say\u0131da hastan\u0131n yeni ila\u00e7 kullan\u0131m\u0131ndan dolay\u0131 yan etkiler ya\u015fama olas\u0131l\u0131\u011f\u0131n\u0131 modellemek i\u00e7in binom da\u011f\u0131l\u0131m\u0131n\u0131 kullan\u0131r. \u00d6rne\u011fin, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-1499","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Binom 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