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Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 發問中
統計學習題
Jun 24th 2013, 06:33

試求:
隨機變數X-N(10,5 2) ,計算P(15≦X≦25)=?
隨機變數X-N(5,8 2) ,計算P({X-5}≧16)=?

設參加某次特種考試之考生共三千人,考試科目九科,此種成績分配應接近常態分配。今如考生總分支算術平均數為360分,標準差為40分,試估計總分在400分以上者,大約有多少人?總分在300分到420分之間者約有多少人?

某一輪胎的壽命為盡速於平均值45000哩,標準差2500哩的常態分配。此輪胎的保證哩數為35000哩。試問多少比例的輪胎會再保證哩數前損壞?

設有一千名學生的統計學成績合乎N(70, 25),試估計:
成績在80分以上者若干人?
不及60分者若干人?
在70分與80分之間者有若干人?

11.設隨機變數X服從N(1, 0.42)試求下列機率:
P(X ≧ 0)P(0.2 ≦ X ≦ 1.8)

某工廠一日間某種產品之生產量(單位:公斤)服從常態分配N(10, 0.62),試求其一週間(工作六天)總生產量能超過65公斤之機率?

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