某企業嚴格要求出貨產品之不良率不能超過3%,否則整批禁止出貨。目前有一
大批產品要出貨,品管單位隨機抽取100 件產品進行檢驗。
(1) 在α = 0.05下,品管單位的驗收準則為何?(10%)
(2) 在α = 0.05下,品管單位發現有5件不良品,請問是否要整批禁止出貨?(5%)
(註:Z0.95 = 1.645;Z0.975 = 1.96 )
某企業邀請六位消費者進行研究,以探討消費者所得高低是否會對其新產品之每
月購買次數造成影響。這六位消費者的所得與每月購買次數如下表所示。請求出
消費者所得對於其新產品之每月購買次數之迴歸式為何?試問當消費者所得為
150 美元時,其新產品之每月購買次數的95%信賴區間為何?(假設資料符合迴
A chemical engineer is in charge of a particular process at a plant. Past
experience indicates that 20% of all shutdowns are due to equipment
failure alone, 30% are due to operator error, and 10% involve a
combination of equipment failure and operator error. A shutdown is
occurred. Find the probability that
(1) equipment failure or operator error is involved (5%)
(2) operator error alone is involved (5%)
(3) neither operator error nor equipment failure occurs (5%)
(4) operator error is involved given that equipment failure occur (5%)
(5) operator error is involved given that equipment failure does not occur (5%)
假設進入小明加油站的汽車數目服從卜瓦松(Poisson)分配,平均一小時有6 部
車,請問
(1) 一小時內有3 部或3 部以上車輛進入加油的機率為何?(10%)
(2) 半小時內沒有車輛進入加油的機率為何?(7%)
(3) 已知過去一小時有20 部車進入加油,請問接下來的20 分鐘內沒有車子進入
加油的機率為何?(8%)
(註:答案包含自然指數e,不必直接算出數值)
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