<\/p>\n
\u0130statistikte, a\u015fa\u011f\u0131daki iki ko\u015fulun kar\u015f\u0131lanmas\u0131 durumunda rastgele de\u011fi\u015fkenlere<\/a> iid ( ba\u011f\u0131ms\u0131z ve ayn\u0131 \u015fekilde da\u011f\u0131t\u0131lm\u0131\u015f<\/strong> ) ad\u0131 verilir:<\/span><\/p>\n (1) Ba\u011f\u0131ms\u0131z<\/strong> \u2013 Bir olay\u0131n sonucu di\u011ferinin sonucunu etkilemez.<\/span><\/p>\n (2) Ayn\u0131 \u015fekilde da\u011f\u0131t\u0131lm\u0131\u015f<\/strong> \u2013 Her olay\u0131n olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131 ayn\u0131d\u0131r.<\/span><\/p>\n A\u015fa\u011f\u0131daki senaryolar iid rastgele de\u011fi\u015fkenlerin uygulamadaki \u00f6rneklerini g\u00f6stermektedir.<\/span><\/p>\n Bir paray\u0131 10 kez att\u0131\u011f\u0131m\u0131z\u0131 ve paran\u0131n ka\u00e7 kez tura geldi\u011fini takip etti\u011fimizi varsayal\u0131m.<\/span><\/p>\n Bu, a\u015fa\u011f\u0131daki ko\u015fullar\u0131n her ikisi de kar\u015f\u0131land\u0131\u011f\u0131 i\u00e7in ba\u011f\u0131ms\u0131z ve ayn\u0131 \u015fekilde da\u011f\u0131t\u0131lan rastgele de\u011fi\u015fkenin bir \u00f6rne\u011fidir:<\/span><\/p>\n (1) Ba\u011f\u0131ms\u0131z<\/strong> \u2013 Yaz\u0131 tura at\u0131\u015f\u0131n\u0131n sonucu, ba\u015fka bir yaz\u0131 tura at\u0131\u015f\u0131n\u0131n sonucunu etkilemez. Her at\u0131\u015f ba\u011f\u0131ms\u0131zd\u0131r.<\/span><\/p>\n (2) E\u015fit Da\u011f\u0131t\u0131lan<\/strong> – Belirli bir at\u0131\u015fta paran\u0131n tura gelme olas\u0131l\u0131\u011f\u0131 0,5’tir. Bu olas\u0131l\u0131k bir at\u0131\u015ftan di\u011ferine de\u011fi\u015fmez.<\/span><\/p>\n Bir zar\u0131 50 kez att\u0131\u011f\u0131m\u0131z\u0131 ve zar\u0131n 4 rakam\u0131na ka\u00e7 kez geldi\u011fini takip etti\u011fimizi varsayal\u0131m.<\/span><\/p>\n Bu, a\u015fa\u011f\u0131daki ko\u015fullar\u0131n her ikisi de kar\u015f\u0131land\u0131\u011f\u0131 i\u00e7in ba\u011f\u0131ms\u0131z ve ayn\u0131 \u015fekilde da\u011f\u0131t\u0131lan rastgele de\u011fi\u015fkenin bir \u00f6rne\u011fidir:<\/span><\/p>\n (1) Ba\u011f\u0131ms\u0131z<\/strong> \u2013 Bir zar at\u0131\u015f\u0131n\u0131n sonucu, ba\u015fka bir zar at\u0131\u015f\u0131n\u0131n sonucunu etkilemez. Her silindir ba\u011f\u0131ms\u0131zd\u0131r.<\/span><\/p>\n (2) E\u015fit da\u011f\u0131t\u0131lm\u0131\u015f<\/strong> \u2013 Belirli bir at\u0131\u015fta zar\u0131n \u201c4\u201de gelme olas\u0131l\u0131\u011f\u0131 1\/6’d\u0131r. Bu olas\u0131l\u0131k bir at\u0131\u015ftan di\u011ferine de\u011fi\u015fmez.<\/span><\/p>\n D\u00f6rt renge (k\u0131rm\u0131z\u0131, mavi, ye\u015fil ve mor) e\u015fit olarak b\u00f6l\u00fcnm\u00fc\u015f bir rulet \u00e7ark\u0131n\u0131 100 kez d\u00f6nd\u00fcrd\u00fc\u011f\u00fcm\u00fcz\u00fc ve morun \u00fczerine ka\u00e7 kez d\u00fc\u015ft\u00fc\u011f\u00fcn\u00fc takip etti\u011fimizi varsayal\u0131m.<\/span><\/p>\n Bu, a\u015fa\u011f\u0131daki ko\u015fullar\u0131n her ikisi de kar\u015f\u0131land\u0131\u011f\u0131 i\u00e7in ba\u011f\u0131ms\u0131z ve ayn\u0131 \u015fekilde da\u011f\u0131t\u0131lan rastgele de\u011fi\u015fkenin bir \u00f6rne\u011fidir:<\/span><\/p>\n (1) Ba\u011f\u0131ms\u0131z<\/strong> \u2013 Bir turun sonucu di\u011fer turun sonucunu etkilemez. Her d\u00f6n\u00fc\u015f ba\u011f\u0131ms\u0131zd\u0131r.<\/span><\/p>\n (2) E\u015fit da\u011f\u0131t\u0131lm\u0131\u015f<\/strong> \u2013 Herhangi bir d\u00f6n\u00fc\u015fte rulet \u00e7ark\u0131n\u0131n mora gelme olas\u0131l\u0131\u011f\u0131 0,25’tir. Bu olas\u0131l\u0131k bir turdan di\u011ferine de\u011fi\u015fmez.<\/span><\/p>\n Standart bir kart destesi 4’\u00fc krali\u00e7e olmak \u00fczere 52 kart i\u00e7erir. Standart bir desteden rastgele bir kart \u00e7ekti\u011fimizi ve ard\u0131ndan kart\u0131 tekrar desteye yerle\u015ftirdi\u011fimizi varsayal\u0131m. Bunu 100 kez tekrarlad\u0131\u011f\u0131m\u0131z\u0131 ve ka\u00e7 kez krali\u00e7e \u00e7izdi\u011fimizi takip etti\u011fimizi varsayal\u0131m.<\/span><\/p>\n Bu, a\u015fa\u011f\u0131daki ko\u015fullar\u0131n her ikisi de kar\u015f\u0131land\u0131\u011f\u0131 i\u00e7in ba\u011f\u0131ms\u0131z ve ayn\u0131 \u015fekilde da\u011f\u0131t\u0131lan rastgele de\u011fi\u015fkenin bir \u00f6rne\u011fidir:<\/span><\/p>\n (1) Ba\u011f\u0131ms\u0131z<\/strong> \u2013 Bir \u00e7ekili\u015fin sonucu di\u011fer herhangi bir \u00e7ekili\u015fin sonucunu etkilemez. Her bask\u0131 ba\u011f\u0131ms\u0131zd\u0131r.<\/span><\/p>\n (2) Ayn\u0131 da\u011f\u0131l\u0131m<\/strong> \u2013 Belirli bir \u00e7ekili\u015fte vezir se\u00e7me olas\u0131l\u0131\u011f\u0131m\u0131z 4\/52’dir. Bu olas\u0131l\u0131k bir beraberlikten di\u011ferine de\u011fi\u015fmez.<\/span><\/p>\n Rastgele de\u011fi\u015fkenlere giri\u015f<\/a> \u0130statistikte, a\u015fa\u011f\u0131daki iki ko\u015fulun kar\u015f\u0131lanmas\u0131 durumunda rastgele de\u011fi\u015fkenlere iid ( ba\u011f\u0131ms\u0131z ve ayn\u0131 \u015fekilde da\u011f\u0131t\u0131lm\u0131\u015f ) ad\u0131 verilir: (1) Ba\u011f\u0131ms\u0131z \u2013 Bir olay\u0131n sonucu di\u011ferinin sonucunu etkilemez. (2) Ayn\u0131 \u015fekilde da\u011f\u0131t\u0131lm\u0131\u015f \u2013 Her olay\u0131n olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131 ayn\u0131d\u0131r. A\u015fa\u011f\u0131daki senaryolar iid rastgele de\u011fi\u015fkenlerin uygulamadaki \u00f6rneklerini g\u00f6stermektedir. \u00d6rnek 1: Yaz\u0131 tura atma Bir paray\u0131 10 kez att\u0131\u011f\u0131m\u0131z\u0131 […]<\/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-2142","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"\n \u00d6rnek 1: Yaz\u0131 tura atma<\/strong><\/span><\/h3>\n
\u00d6rnek 2: Bir zar\u0131n at\u0131lmas\u0131<\/strong><\/span><\/h3>\n
\u00d6rnek 3: Topu d\u00f6nd\u00fcrmek<\/strong><\/span><\/h3>\n
\u00d6rnek 4: Kart se\u00e7me<\/strong><\/span><\/h3>\n
Ek kaynaklar<\/strong><\/span><\/h3>\n
\u0130statistikte ba\u011f\u0131ms\u0131zl\u0131k varsay\u0131m\u0131 nedir?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"