2012·江西抚州·一模
解题方法
1 . 某工厂生产甲、乙两种产品,每种产品都是经过第一道和第二道工序加工而成,两道工序的加工结果相互独立,每道工序的加工结果均有
两个等级.对每种产品,两道工序的加工结果都为
级时,产品为一等品,其余均为二等品.
(1)已知甲、乙两种产品每一道工序的加工结果为
的概率如表一所示,分别求生产出的甲、乙产品为一等品的概率
;
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/16/081edf53-24db-498e-aff9-faaae018dc5e.png?resizew=281)
(2)已知一件产品的利润如表二所示,用
分别表示一件甲、乙产品的利润,在(1)的条件下,求
的分布列及
;
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/16/e43cb8dc-ee4b-41ee-8935-a90c29a34cdc.png?resizew=276)
(3)已知生产一件产品需用的工人数和资金额如表三所示.该工厂有工人
名,可用资金
万元.设
分别表示生产甲、乙产品的数量,在(2)的条件下,
为何值时,
最大?最大值是多少?(解答时须给出图示说明)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)已知甲、乙两种产品每一道工序的加工结果为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5425108c557f0f21474c045334f97d9c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/16/081edf53-24db-498e-aff9-faaae018dc5e.png?resizew=281)
(2)已知一件产品的利润如表二所示,用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f2ad6f1a944da03f50cbdcd648b3114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f2ad6f1a944da03f50cbdcd648b3114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2893c862fb93bc6c884f82f35714f85c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/16/e43cb8dc-ee4b-41ee-8935-a90c29a34cdc.png?resizew=276)
(3)已知生产一件产品需用的工人数和资金额如表三所示.该工厂有工人
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b72ac611ae66b86761e080761d9aabc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b3779b4ea5477aebfe85113b0de1d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667dd88c006ab3d79259718267b8ed3d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/16/755d8660-965a-48e5-80cf-2b3cd46c82d4.png?resizew=274)
您最近一年使用:0次