1 . 某家电公司根据销售区域将销售员分成
两组.2017年年初,公司根据销售员的销售业绩分发年终奖,销售员的销售额(单位:十万元)在区间
内对应的年终奖分别为2万元,2.5万元,3万元,3.5万元.已知200名销售员的年销售额都在区间
内,将这些数据分成4组:
,得到如下两个频率分布直方图:
![](https://img.xkw.com/dksih/QBM/2018/2/23/1888610345304064/1891536312598528/STEM/bc17390fcbd34e0aa261281d9dfdf8b0.png?resizew=140)
以上面数据的频率作为概率,分别从
组与
组的销售员中随机选取1位,记
分别表示
组与
组被选取的销售员获得的年终奖.
(1)求
的分布列及数学期望;
(2)试问
组与
组哪个组销售员获得的年终奖的平均值更高?为什么?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f3ecf63848b9566f617a8239f5ecbe0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04a72f42901ac37d876c003b0bad475c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f3ecf63848b9566f617a8239f5ecbe0.png)
![](https://img.xkw.com/dksih/QBM/2018/2/23/1888610345304064/1891536312598528/STEM/f1cee9d2d32f490e977f34adde530a88.png?resizew=133)
![](https://img.xkw.com/dksih/QBM/2018/2/23/1888610345304064/1891536312598528/STEM/bc17390fcbd34e0aa261281d9dfdf8b0.png?resizew=140)
以上面数据的频率作为概率,分别从
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa0010cb466163db1349fc1040f6b439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
(2)试问
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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2018-02-27更新
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3卷引用:四川省达州市高2018届高三上期末理科数学试卷