{"id":201,"date":"2023-08-04T06:56:18","date_gmt":"2023-08-04T06:56:18","guid":{"rendered":"https:\/\/statorials.org\/tr\/rastgele-degisken\/"},"modified":"2023-08-04T06:56:18","modified_gmt":"2023-08-04T06:56:18","slug":"rastgele-degisken","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rastgele-degisken\/","title":{"rendered":"Rastgele de\u011fi\u015fken"},"content":{"rendered":"

Bu makale istatistikte rastgele de\u011fi\u015fkenlerin ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece rastgele de\u011fi\u015fkenin bir \u00f6rne\u011fini ve farkl\u0131 rastgele de\u011fi\u015fken t\u00fcrlerinin neler oldu\u011funu bulacaks\u0131n\u0131z. <\/p>\n

<\/span> Rastgele de\u011fi\u015fken nedir?<\/span><\/h2>\n

\u0130statistikte rastgele de\u011fi\u015fken<\/strong> , bir de\u011feri \u00f6rnek uzaydaki<\/a> her olayla ili\u015fkilendiren bir fonksiyondur. Basit\u00e7e s\u00f6ylemek gerekirse, rastgele bir de\u011fi\u015fken, rastgele bir deneyin her olas\u0131 sonucuna bir say\u0131 atayan bir fonksiyondur.<\/p>\n

\u00d6rne\u011fin, “bir zar\u0131n at\u0131lmas\u0131” \u015feklindeki rastgele deney, “bir zar\u0131n at\u0131lmas\u0131n\u0131n sonucu” rastgele de\u011fi\u015fkeniyle ili\u015fkilendirilebilir. B\u00f6ylece rastgele de\u011fi\u015fkenin alabilece\u011fi de\u011ferler 1, 2, 3, 4, 5 ve 6 olup, bunlar rastgele deneyin ard\u0131ndan zar\u0131n a\u00e7\u0131lan taraf\u0131na kar\u015f\u0131l\u0131k gelir.<\/p>\n

Genellikle b\u00fcy\u00fck harfler bir rastgele de\u011fi\u015fkenin simgesi olarak kullan\u0131l\u0131r, X, Y, Z gibi\u2026 Ayn\u0131 \u015fekilde bir rastgele de\u011fi\u015fkenin de\u011ferleri de ayn\u0131 harfle ancak k\u00fc\u00e7\u00fck harfle (x, y, z\u2026) tan\u0131mlan\u0131r. <\/p>\n

<\/span>Rastgele de\u011fi\u015fken \u00f6rne\u011fi<\/span><\/h2>\n

Rastgele de\u011fi\u015fkenin tan\u0131m\u0131 g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, kavram\u0131 \u00f6z\u00fcmsemek i\u00e7in bu tip istatistiksel de\u011fi\u015fkenin bir \u00f6rne\u011fi a\u015fa\u011f\u0131da sunulmaktad\u0131r.<\/p>\n

Daha do\u011frusu inceleyece\u011fimiz rastgele de\u011fi\u015fken, bir paran\u0131n d\u00f6rt kez at\u0131lmas\u0131yla elde edilen tura say\u0131s\u0131 olacakt\u0131r.<\/p>\n<\/p>\n

\"\\displaystyle<\/p>\n<\/p>\n

0, 1, 2, 3 veya 4 tura alabilece\u011fimiz i\u00e7in be\u015f olas\u0131 sonu\u00e7 vard\u0131r. Bu nedenle, \u00f6rnek uzaydaki her olas\u0131 olaya bir say\u0131 atamak gerekir; bu durumda bu kolayd\u0131r \u00e7\u00fcnk\u00fc elde edilen y\u00fczlerin say\u0131s\u0131, de\u011fi\u015fkenin kar\u015f\u0131l\u0131k gelen say\u0131s\u0131 olacakt\u0131r. <\/p>\n<\/p>\n

\"x=0<\/p>\n<\/p>\n

\"x=1<\/p>\n<\/p>\n

\"x=2<\/p>\n<\/p>\n

\"x=3<\/p>\n<\/p>\n

\"x=4<\/p>\n<\/p>\n

Ve bu \u015fekilde de\u011fi\u015fkeni ve olas\u0131 t\u00fcm de\u011ferlerini tan\u0131mlad\u0131k. Ancak her bir olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131, olas\u0131 vaka say\u0131s\u0131n\u0131 toplam vaka say\u0131s\u0131na b\u00f6lerek de hesaplayabiliriz: <\/p>\n

\"rastgele<\/figure>\n

Hesaplamalar sonras\u0131nda, ger\u00e7ekle\u015fmesi en muhtemel rastgele de\u011fi\u015fken olay\u0131n\u0131n %37,5 olas\u0131l\u0131kla \u201ciki tura gelmesi\u201d oldu\u011fu ortaya \u00e7\u0131k\u0131yor. <\/p>\n

<\/span>Rastgele de\u011fi\u015fken t\u00fcrleri<\/span><\/h2>\n

Rastgele de\u011fi\u015fkenler iki farkl\u0131 tipte s\u0131n\u0131fland\u0131r\u0131labilir:<\/p>\n

    \n
  • Ayr\u0131k rasgele de\u011fi\u015fken<\/strong> : Herhangi iki de\u011fer aras\u0131nda yaln\u0131zca sonlu say\u0131da de\u011fer alabilir. \u00d6rne\u011fin: bir evdeki yatak say\u0131s\u0131 (1, 2, 3\u2026).<\/span><\/li>\n
  • S\u00fcrekli rastgele de\u011fi\u015fken<\/strong> : Belirli bir aral\u0131ktaki herhangi bir de\u011feri alabilir. \u00d6rne\u011fin: bir ki\u015finin boyu (1,70 m, 1,85 m, 1,57 m vb.).<\/span> <\/li>\n<\/ul>\n

    <\/span> Rastgele de\u011fi\u015fken ve olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131<\/span><\/h2>\n

    Son olarak, bu b\u00f6l\u00fcmde rastgele de\u011fi\u015fken ile olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131 aras\u0131ndaki fark\u0131 g\u00f6rece\u011fiz \u00e7\u00fcnk\u00fc bunlar s\u0131kl\u0131kla kar\u0131\u015ft\u0131r\u0131lan iki istatistiksel kavramd\u0131r.<\/p>\n

    Rastgele bir de\u011fi\u015fken, her bir sonucu temsil edecek \u015fekilde rastgele bir deneyin olas\u0131 sonu\u00e7lar\u0131na say\u0131sal de\u011ferler atar. Bunun yerine, bir rastgele de\u011fi\u015fkenin her de\u011ferinin ortaya \u00e7\u0131kma olas\u0131l\u0131\u011f\u0131n\u0131, yani bir rastgele deneyin olas\u0131 her sonucunun ortaya \u00e7\u0131kma olas\u0131l\u0131\u011f\u0131n\u0131 tan\u0131mlamak i\u00e7in bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131 kullan\u0131l\u0131r.<\/p>\n

    Bu nedenle, rastgele de\u011fi\u015fken ile olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131 aras\u0131ndaki fark, rastgele de\u011fi\u015fkenin, rastgele bir deneydeki her olas\u0131 olaya basit\u00e7e bir say\u0131 atamas\u0131, olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131n ise her olas\u0131 olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131 g\u00f6stermesidir.<\/p>\n","protected":false},"excerpt":{"rendered":"

    Bu makale istatistikte rastgele de\u011fi\u015fkenlerin ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece rastgele de\u011fi\u015fkenin bir \u00f6rne\u011fini ve farkl\u0131 rastgele de\u011fi\u015fken t\u00fcrlerinin neler oldu\u011funu bulacaks\u0131n\u0131z. Rastgele de\u011fi\u015fken nedir? \u0130statistikte rastgele de\u011fi\u015fken , bir de\u011feri \u00f6rnek uzaydaki her olayla ili\u015fkilendiren bir fonksiyondur. Basit\u00e7e s\u00f6ylemek gerekirse, rastgele bir de\u011fi\u015fken, rastgele bir deneyin her olas\u0131 sonucuna bir say\u0131 atayan bir fonksiyondur. \u00d6rne\u011fin, […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-201","post","type-post","status-publish","format-standard","hentry","category-istatistik"],"yoast_head":"\n\u25b7 Rastgele de\u011fi\u015fken nedir? 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