1 . 某生物研究小组准备探究某地区蜻蜓的翼长分布规律,据统计该地区蜻蜓有
两种,且这两种的个体数量大致相等,记
种蜻蜓和
种蜻蜓的翼长(单位:
)分别为随机变量
,其中
服从正态分布
,
服从正态分布
.
(Ⅰ)从该地区的蜻蜓中随机捕捉一只,求这只蜻蜓的翼长在区间
的概率;
(Ⅱ)记该地区蜻蜓的翼长为随机变量
,若用正态分布
来近似描述
的分布,请你根据(Ⅰ)中的结果,求参数
和
的值(精确到0.1);
(Ⅲ)在(Ⅱ)的条件下,从该地区的蜻蜓中随机捕捉3只,记这3只中翼长在区间
的个数为
,求
的分布列及数学期望(分布列写出计算表达式即可).
注:若
,则
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb398137779190b35492d9f06d5fbc3.png)
![](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/b9c214cc074cf24aa90f2dfb01de102a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/285ebeb817033552af0f67d73496de4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/251f75fa86b905a2616ec2762d7f7aa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5849eaa8f3a7122ee92fb55f4b362fc.png)
(Ⅰ)从该地区的蜻蜓中随机捕捉一只,求这只蜻蜓的翼长在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08fe763a71976c3a8de837e1b4a3f335.png)
(Ⅱ)记该地区蜻蜓的翼长为随机变量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d768b45940249b92c7de69ca3bfb410.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e34bde9ce11f753f3e3631fbd0112fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e2ceedae2559a314a877439b8de231.png)
(Ⅲ)在(Ⅱ)的条件下,从该地区的蜻蜓中随机捕捉3只,记这3只中翼长在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a36b5f3a3b485fa37df9c6575d499736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
注:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db5f0cb8603471163cf0e3938a5039a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/008c275c8688fa0821245614f54a12cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/256181dd02e41f3a9eadf1de097f472e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fd5de2f466b858a78245dffd6809928.png)
您最近一年使用:0次
2020-04-16更新
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582次组卷
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5卷引用:2020届河南省天一大联考“顶尖计划”高三第二次考试数学(理)试题
2 . 袋中有大小相同的
个红球,
个白球,从中不放回地依次摸取
球,在已知第一次取出白球的前提下,第二次取得红球的概率是
![](https://img.xkw.com/dksih/QBM/2015/5/18/1572111484731392/1572111490662400/STEM/e969e37929d340e2b466f15bf2727b0f.png?resizew=12)
![](https://img.xkw.com/dksih/QBM/2015/5/18/1572111484731392/1572111490662400/STEM/489675d33934467eae46b87959abf74e.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2015/5/18/1572111484731392/1572111490662400/STEM/52cd780a16a84ca69871ae51aa5cc012.png?resizew=13)
您最近一年使用:0次
2016-12-03更新
|
2327次组卷
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2卷引用:河南省郑州市2019-2020学年高一下学期阶段性学业检测题(5月)数学试题