![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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(2)正方体被平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/193b5b41994c2a4dfa5bb0bc984061cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fc138be9688253cbdeae2808eb74ae.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/344857d8-a966-4019-83d0-c474c1479be8.png?resizew=231)
(1)求第四小组的频率,补全频率分布直方图,并估计该校学生的数学成绩的中位数.
(2)从被抽取的数学成绩是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1fba09b89a2752a1164dc3d66b7cb8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1fba09b89a2752a1164dc3d66b7cb8d.png)
(3)假设从全市参加高一年级期末考试的学生中,任意抽取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/458b6c1f8e142098dacb00c24c76aeb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b65b9c358ba76f06396a1012b864bde3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
评估得分 | [60,70) | [70,80) | [80,90) | [90,100) |
评定类型 | D | C | B | A |
现将各连锁店的评估分数进行统计分析,并将其画成频率分布直方图如下.
![](https://img.xkw.com/dksih/QBM/2015/1/14/1571961081126912/1571961086951424/STEM/37b33546c9d94181bc0f92c54dae00be.png)
(1)请补全频率分布直方图(画出[70,80)那组对应的小长方形并标上对应高度)
(2)现欲用分层抽样的方法从这200家连锁店中抽取40家作为代表进行座谈会,试问其中A、D类连锁店分别应抽取多少家?
(3)试根据频率分布直方图估计这200家连锁店评估得分的中位数(结果保留一位小数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f8c2a91a15e1f7b296b64d3bd2e7551.png)
![](https://img.xkw.com/dksih/QBM/2019/11/20/2338047817670656/2338465186267136/STEM/37b3600f-5b8f-4a1b-8e19-cd6fb8af60d8.png?resizew=323)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)填写下表,能否有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02ca40b5a7476f844dad0e5f79fa69aa.png)
男生 | 女生 | 总计 | |
成绩不高于平均数 | |||
成绩高于平均数 | |||
总计 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e3821f70c08c5180e9b3086d3c9610f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
![]() | 0.05 | 0.01 | 0.005 | 0.001 |
![]() | 3.841 | 6.635 | 7.879 | 10.828 |
函数 | 使函数有意义的x的实数范围 | |
1 | ||
2 | ||
3 | ||
4 | ||
5 | ||
6 |
分数![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
人数 | 20 | 55 | 105 | 70 | 50 |
参加自主招生获得通过的概率 | 0.9 | 0.8 | 0.6 | 0.5 | 0.4 |
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/10/491c4587-02e0-4a1d-9f59-33dd705984e7.png?resizew=310)
优等生 | 非优等生 | 总计 | |
学习大学先修课程 | |||
没有学习大学先修课程 | |||
总计 |
①在今年参与大学先修课程的学生中任取一人,求他获得某高校自主招生通过的概率;
②设今年全校参加大学先修课程的学生获得某高校自主招生通过的人数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33470bee4febd946d39f7b63d6344c8f.png)
参考数据:
![]() | 0.15 | 0.10 | 0.05 | 0.025 | 0.010 | 0.005 |
![]() | 2.072 | 2.706 | 3.841 | 5.024 | 6.635 | 7.879 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc485c58dbd6e50bfb352030f4a1c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
7 . 教育是阻断贫困代际传递的根本之策.补齐贫困地区义务教育发展的短板,让贫困家庭子女都能接受公平而有质量的教育,是夯实脱贫攻坚根基之所在.治贫先治愚,扶贫先扶智.为了解决某贫困地区教师资源匮乏的问题,某市教育局拟从5名优秀教师中抽选人员分批次参与支教活动.支教活动共分3批次进行,每次支教需要同时派送2名教师,且每次派送人员均从这5人中随机抽选.已知这5名优秀教师中,2人有支教经验,3人没有支教经验.
(1)求5名优秀教师中的“甲”,在这3批次支教活动中恰有两次被抽选到的概率;
(2)求第一次抽取到无支教经验的教师人数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
分数 | |||||
人数 | 20 | 55 | 105 | 70 | 50 |
参加自主招生获得通过的概率 | 0.9 | 0.8 | 0.6 | 0.5 | 0.4 |
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/7/0386d3a0-02e8-4b52-9439-0af33b81bab1.png?resizew=214)
优等生 | 非优等生 | 总计 | |
学习大学先修课程 | |||
没有学习大学先修课程 | |||
总计 |
①在今年参与大学先修课程的学生中任取一人,求他获得某高校自主招生通过的概率;
②某班有4名学生参加了大学先修课程的学习,设获得某高校自主招生通过的人数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
参考数据:
0.15 | 0.10 | 0.05 | 0.025 | 0.010 | 0.005 | |
2.072 | 2.706 | 3.841 | 5.024 | 6.635 | 7.879 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a816fb48423a40ae581ad383676a74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61dfb43eae40a12e896ac96dc14a4103.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
![](https://img.xkw.com/dksih/QBM/2017/3/19/1647003663228928/1649338964672512/STEM/736865ca924c4ee6acb2ede89fcd83f6.png?resizew=358)
(Ⅰ)根据频率分布直方图填写下面2×2列联表;
甲班(A方式) | 乙班(B方式) | 总计 | |
成绩优秀 | |||
成绩不优秀 | |||
总计 |
(Ⅱ)判断能否在犯错误的概率不超过0.05的前提下认为:“成绩优秀”与教学方式有关?
附:.
P(K2≥k) | 0.25 | 0.15 | 0.10 | 0.05 | 0.025 |
k | 1.323 | 2.072 | 2.706 | 3.841 | 5.024 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/28/8c56d121-58e6-4ca5-9939-aa09beb56611.png?resizew=194)
(1)作出交线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9df740160690029ac1e730c85f20347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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