{"id":1494,"date":"2023-07-26T04:12:22","date_gmt":"2023-07-26T04:12:22","guid":{"rendered":"https:\/\/statorials.org\/tr\/uniforma-dagitimi\/"},"modified":"2023-07-26T04:12:22","modified_gmt":"2023-07-26T04:12:22","slug":"uniforma-dagitimi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/uniforma-dagitimi\/","title":{"rendered":"D\u00fczg\u00fcn da\u011f\u0131t\u0131ma giri\u015f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>D\u00fczg\u00fcn da\u011f\u0131l\u0131m,<\/strong> <em>a&#8217;dan<\/em> <em>b&#8217;ye<\/em> kadar olan aral\u0131ktaki her de\u011ferin ayn\u0131 olu\u015fma olas\u0131l\u0131\u011f\u0131na sahip oldu\u011fu bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">E\u011fer bir <em>X<\/em> <a href=\"https:\/\/statorials.org\/tr\/rastgele-degiskenler\/\" target=\"_blank\" rel=\"noopener\">rastgele de\u011fi\u015fkeni<\/a> d\u00fczg\u00fcn bir da\u011f\u0131l\u0131m izliyorsa, <em>X&#8217;in<\/em> <em>x <sub>1<\/sub><\/em> ile <em>x<\/em> <sub>2<\/sub> aras\u0131nda bir de\u011fer alma olas\u0131l\u0131\u011f\u0131 a\u015fa\u011f\u0131daki form\u00fclle bulunabilir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(x <sub>1<\/sub> &lt; X &lt; x <sub>2<\/sub> ) = (x <sub>2<\/sub> \u2013 x <sub>1<\/sub> ) \/ (b \u2013 a)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>1<\/sub> :<\/strong> En d\u00fc\u015f\u00fck faiz de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>2<\/sub> :<\/strong> faizin \u00fcst de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>a:<\/strong> m\u00fcmk\u00fcn olan minimum de\u011fer<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>b:<\/strong> m\u00fcmk\u00fcn olan maksimum de\u011fer<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin yunuslar\u0131n a\u011f\u0131rl\u0131\u011f\u0131n\u0131n 100 ila 150 pound aras\u0131nda e\u015fit olarak da\u011f\u0131ld\u0131\u011f\u0131n\u0131 varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Rastgele bir yunusu se\u00e7ersek, se\u00e7ilen yunusun a\u011f\u0131rl\u0131\u011f\u0131n\u0131n 120 ile 130 pound aras\u0131nda olma olas\u0131l\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in yukar\u0131daki form\u00fcl\u00fc kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(120 &lt; X &lt; 130) = (130 \u2013 120) \/ (150 \u2013 100)<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(120 &lt; X &lt; 130) = 10\/50<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(120 &lt; X &lt; 130) = <strong>0,2<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Se\u00e7ilen yunusun a\u011f\u0131rl\u0131\u011f\u0131n\u0131n 120 ila 130 pound aras\u0131nda olma olas\u0131l\u0131\u011f\u0131 <strong>0,2&#8217;dir<\/strong> .<\/span><\/p>\n<h3> <strong>Tekd\u00fcze da\u011f\u0131t\u0131m\u0131 g\u00f6rselle\u015ftirin<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">D\u00fczg\u00fcn da\u011f\u0131l\u0131m\u0131 g\u00f6rselle\u015ftirmek i\u00e7in bir yo\u011funluk grafi\u011fi olu\u015fturursak, a\u015fa\u011f\u0131daki \u00e7izime benzer:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14806 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/uniforme1.png\" alt=\"\u00dcniforma da\u011f\u0131t\u0131m\u0131\" width=\"468\" height=\"296\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Alt s\u0131n\u0131r <em>a<\/em> ile \u00fcst s\u0131n\u0131r <em>b<\/em> aras\u0131ndaki her de\u011ferin olu\u015fma olas\u0131l\u0131\u011f\u0131 ayn\u0131d\u0131r ve bu s\u0131n\u0131rlar\u0131n d\u0131\u015f\u0131ndaki herhangi bir de\u011ferin olu\u015fma olas\u0131l\u0131\u011f\u0131 s\u0131f\u0131rd\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin bir \u00f6nceki \u00f6rne\u011fimizde yunuslar\u0131n a\u011f\u0131rl\u0131\u011f\u0131n\u0131n 100 ila 150 kilo aras\u0131nda e\u015fit olarak da\u011f\u0131ld\u0131\u011f\u0131n\u0131 s\u00f6ylemi\u015ftik. Bu da\u011f\u0131t\u0131m\u0131 \u015fu \u015fekilde g\u00f6rselle\u015ftirebilirsiniz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14807 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/uniforme2.png\" alt=\"\" width=\"466\" height=\"309\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Rastgele se\u00e7ilen bir yunusun a\u011f\u0131rl\u0131\u011f\u0131n\u0131n 120 ile 130 pound aras\u0131nda olma olas\u0131l\u0131\u011f\u0131 \u015fu \u015fekilde g\u00f6rselle\u015ftirilebilir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14808 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/uniforme3.png\" alt=\"\" width=\"464\" height=\"307\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <strong>D\u00fczg\u00fcn da\u011f\u0131l\u0131m\u0131n \u00f6zellikleri<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">D\u00fczg\u00fcn da\u011f\u0131l\u0131m a\u015fa\u011f\u0131daki \u00f6zelliklere sahiptir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ortalama: <strong>(a + b) \/ 2<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Medyan: <strong>(a + b) \/ 2<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Standart sapma: \u221a <strong><span style=\"border-top: 1px solid black;\">(b \u2013 a) <sup>2\/12<\/sup><\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Fark: <strong>(b \u2013 a) <sup>2<\/sup> \/ 12<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin yunuslar\u0131n a\u011f\u0131rl\u0131\u011f\u0131n\u0131n 100 ila 150 pound aras\u0131nda e\u015fit olarak da\u011f\u0131ld\u0131\u011f\u0131n\u0131 varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu da\u011f\u0131l\u0131m i\u00e7in a\u015fa\u011f\u0131daki \u00f6zellikleri hesaplayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ortalama a\u011f\u0131rl\u0131k: (a + b) \/ 2 = (150 + 100) \/ 2 = <strong>125<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Medyan a\u011f\u0131rl\u0131k: (a + b) \/ 2 = (150 + 100) \/ 2 = <strong>125<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">A\u011f\u0131rl\u0131\u011f\u0131n standart sapmas\u0131: \u221a <span style=\"border-top: 1px solid black;\">(150 \u2013 100) <sup>2\/12<\/sup><\/span> = <strong>14,43<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">A\u011f\u0131rl\u0131k de\u011fi\u015fimi: (150 \u2013 100) <sup>2\/12<\/sup> = <strong>208,33<\/strong><\/span><\/li>\n<\/ul>\n<h3> <strong>Tekd\u00fczen Da\u011f\u0131t\u0131m Uygulamalar\u0131yla \u0130lgili Sorunlar<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">D\u00fczg\u00fcn da\u011f\u0131l\u0131ma ili\u015fkin bilginizi test etmek i\u00e7in a\u015fa\u011f\u0131daki al\u0131\u015ft\u0131rma problemlerini kullan\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Soru 1:<\/strong> Her 20 dakikada bir otob\u00fcs dura\u011f\u0131na bir otob\u00fcs gelmektedir. Otob\u00fcs dura\u011f\u0131na vard\u0131\u011f\u0131n\u0131zda otob\u00fcs\u00fcn 8 dakika veya daha k\u0131sa s\u00fcrede gelme olas\u0131l\u0131\u011f\u0131 nedir?<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00c7\u00f6z\u00fcm 1:<\/strong> Minimum bekleme s\u00fcresi 0 dakika, maksimum bekleme s\u00fcresi 20 dakikad\u0131r. Alt faiz de\u011feri 0 dakika, \u00fcst faiz de\u011feri ise 8 dakikad\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla olas\u0131l\u0131\u011f\u0131 \u015fu \u015fekilde hesaplayabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(0 &lt; X &lt; 8) = (8-0) \/ (20-0) = 8\/20 = <strong>0,4<\/strong> .<\/span><\/p>\n<hr>\n<p> <span style=\"color: #000000;\"><strong>Soru 2:<\/strong> Bir NBA ma\u00e7\u0131n\u0131n s\u00fcresi 120 ila 170 dakika aras\u0131nda e\u015fit olarak da\u011f\u0131t\u0131lmaktad\u0131r. Rastgele se\u00e7ilen bir NBA ma\u00e7\u0131n\u0131n 155 dakikadan fazla s\u00fcrme olas\u0131l\u0131\u011f\u0131 nedir?<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00c7\u00f6z\u00fcm 2:<\/strong> Minimum s\u00fcre 120 dakika, maksimum s\u00fcre 170 dakikad\u0131r. Alt faiz de\u011feri 155 dakika, \u00fcst faiz de\u011feri ise 170 dakikad\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla olas\u0131l\u0131\u011f\u0131 \u015fu \u015fekilde hesaplayabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(155 &lt; X &lt; 170) = (170-155) \/ (170-120) = 15\/50 = <strong>0,3<\/strong> .<\/span><\/p>\n<hr>\n<p> <span style=\"color: #000000;\"><strong>Soru 3:<\/strong> Belirli bir kurba\u011fa t\u00fcr\u00fcn\u00fcn a\u011f\u0131rl\u0131\u011f\u0131 15 ila 25 gram aras\u0131nda e\u015fit olarak da\u011f\u0131lm\u0131\u015ft\u0131r. Rastgele bir kurba\u011fa se\u00e7erseniz a\u011f\u0131rl\u0131\u011f\u0131n\u0131n 17 ile 19 gram aras\u0131nda olma olas\u0131l\u0131\u011f\u0131 nedir?<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00c7\u00f6z\u00fcm 3:<\/strong> Minimum a\u011f\u0131rl\u0131k 15 gram, maksimum a\u011f\u0131rl\u0131k ise 25 gramd\u0131r. Alt faiz de\u011feri 17 gram, \u00fcst faiz de\u011feri ise 19 gramd\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla olas\u0131l\u0131\u011f\u0131 \u015fu \u015fekilde hesaplayabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(17 &lt; X &lt; 19) = (19-17) \/ (25-15) = 2\/10 = <strong>0,2<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not:<\/strong> Bu sorunlar\u0131n her birine verdi\u011fimiz yan\u0131tlar\u0131 kontrol etmek i\u00e7in Tekd\u00fczen Da\u011f\u0131l\u0131m Hesaplay\u0131c\u0131y\u0131 kullanabiliriz.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>D\u00fczg\u00fcn da\u011f\u0131l\u0131m, a&#8217;dan b&#8217;ye kadar olan aral\u0131ktaki her de\u011ferin ayn\u0131 olu\u015fma olas\u0131l\u0131\u011f\u0131na sahip oldu\u011fu bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r. E\u011fer bir X rastgele de\u011fi\u015fkeni d\u00fczg\u00fcn bir da\u011f\u0131l\u0131m izliyorsa, X&#8217;in x 1 ile x 2 aras\u0131nda bir de\u011fer alma olas\u0131l\u0131\u011f\u0131 a\u015fa\u011f\u0131daki form\u00fclle bulunabilir: P(x 1 &lt; X &lt; x 2 ) = (x 2 \u2013 x 1 ) [&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-1494","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>Tekd\u00fczen Da\u011f\u0131t\u0131ma Giri\u015f - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, resmi bir tan\u0131m ve \u00e7e\u015fitli \u00f6rnekler de dahil olmak \u00fczere, tekd\u00fcze da\u011f\u0131t\u0131ma bir giri\u015f sa\u011flanmaktad\u0131r.\" \/>\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\/uniforma-dagitimi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Tekd\u00fczen Da\u011f\u0131t\u0131ma Giri\u015f - 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