普查对象类别 | 顺利 | 不顺利 | 合计 |
企事业单位 | 40 | 50 | |
个体经营户 | 50 | 150 | |
合计 |
(2) 补全上述列联表(在答题卡填写),并根据列联表判断是否有 90%的把握认为“此普查小区的入户登记是否顺利与普查对象的类别有关”;
(3) 根据该试点普查小区的情况,为保障第四次经济普查的顺利进行,请你从统计的角度提出一条建议.
附:
![](https://img.xkw.com/dksih/QBM/2019/7/5/2240248814059520/2241951777685504/STEM/a5be98d6345f41e6a9ee2abd3c57bb86.png?resizew=574)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c717a4d3ebb93976aa865e09bcbe90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b56c6def59a2f032873442ffe5742e1f.png)
![](https://img.xkw.com/dksih/QBM/2022/5/29/2990003390840832/2992719589236736/STEM/462bf4aa-dab7-4069-94cf-dccf91aaadac.png?resizew=614)
(1)在图二中画出2017年通州区全区完成全社会固定资产投资(柱状图),标出增长率并补全折线图;
(2)通过计算2011~2017这7年的平均增长率约为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e925ad9bcf419c237ad5ee26c890b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e925ad9bcf419c237ad5ee26c890b69.png)
(3)设2011~2017这7年全社会固定资产投资总额的中位数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c85481cd7e94130ef3aa05b4a39e79cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c85481cd7e94130ef3aa05b4a39e79cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0dcd1fe8d3ba9424e7a6c76df6ad7fe.png)
![](https://img.xkw.com/dksih/QBM/2018/3/26/1910360045068288/1912764914851840/STEM/6babc0f1d12040b0bfd2b476fdb84b0c.png?resizew=253)
(1)求第四小组的频率,补全频率分布直方图,并求样本数据的众数,中位数,平均数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfbe7f95b5d89f9409ec24536da9e826.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/671f43c79d612c93a6d160335e86e177.png)
(2)从被抽取的数学成绩是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa86faa9bfef703aead8c2606684dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa86faa9bfef703aead8c2606684dc5.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/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f959e5f8d89390f0f136f6acc9f6fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f959e5f8d89390f0f136f6acc9f6fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821b8672d030c240ff230a0174aa7a3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca34b408b2a52ff8114f1969ea5dee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
分组 | 机器人数 | 频率 |
![]() | 0.08 | |
![]() | 10 | |
![]() | 10 | |
![]() | ||
![]() | 6 |
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/26/b486c762-2ed2-4f13-82c5-9b95f01d0b3b.png?resizew=344)
(1)补全频率分布表,画出频率分布直方图;
(2)若随机抽的第一个号码为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/990252bab1e9822afdc53fcdd48d1824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821b8672d030c240ff230a0174aa7a3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d07d9fb36737fc9b146e9f01cda6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90dd550e1ad9bbf01687ffb4aab788ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa58081b3c79aebb39f01ba22388d0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cadd1f8f43a5a0188647738eb966c17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af01cc528e2d4b5986d95da3914810c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821b8672d030c240ff230a0174aa7a3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(3)从动作个数不低于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f959e5f8d89390f0f136f6acc9f6fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a17161b28b6ad8f57abc5b11e1b6c671.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.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)
6 . 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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ae29cfe8011f5ef9fff576b75c08058.png)
![](https://img.xkw.com/dksih/QBM/2018/5/12/1943965575446528/1945216342294528/STEM/d8282c75-01d7-41a5-8fc1-9467c09668bd.png?resizew=530)
(1)根据上表,在给定坐标系中画出这500名市民日平均睡眠时间的频率分布直方图;
![](https://img.xkw.com/dksih/QBM/2018/5/12/1943965575446528/1945216342294528/STEM/2df93ba1-89e6-45a0-b5f3-ef899a61f443.png?resizew=448)
(2)填写下面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b72fcdc709e77910cd36a26369648b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b72fcdc709e77910cd36a26369648b3.png)
![](https://img.xkw.com/dksih/QBM/2018/5/12/1943965575446528/1945216342294528/STEM/7ca0bbb8-06f8-4431-bdc8-4c782a32ae61.png?resizew=537)
![](https://img.xkw.com/dksih/QBM/2018/5/12/1943965575446528/1945216342294528/STEM/da7a140e-5a53-4a36-91ef-5553c76d77d4.png?resizew=350)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e3821f70c08c5180e9b3086d3c9610f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
选考物理、化学、生物的科目数 | 1 | 2 | 3 |
人数 | 20 | 40 | 40 |
(2)从这100名学生中任选2名,记X表示这2名学生选考物理、化学、生物的科目数之差的绝对值,求随机变量X的数学期望;
(3)学校还调查了这100位学生的性别情况,研究男女生中纯理科生大概的比例,得到的数据如下表:(定文同时选考物理、化学、生物三科的学生为纯理科生)
性别 | 纯理科生 | 非纯理科生 | 总计 |
男性 | 30 | ||
女性 | 5 | ||
总计 | 100 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead9d6ff51996f3ebace6f212e11a9e4.png)
参考公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2187714e660234f0b72f2b47d3ea685a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
附表:
0.10 | 0.05 | 0.010 | 0.001 | |
2.706 | 3.841 | 6.635 | 10.828 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6486784415f3537c9a13556c05d893.png)
(1)求甲、乙两人投票方案不同的概率;
(2)若某人选择方案A或方案B,则对应方案可获得2票,选择方案C,则方案C获得1票,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://img.xkw.com/dksih/QBM/2016/7/15/1572923603116032/1572923609341952/STEM/422a506e2813444ebb414478623787d4.png?resizew=260)
![](https://img.xkw.com/dksih/QBM/2016/7/15/1572923603116032/1572923609341952/STEM/8261693661d84659a7607e4070162aab.png?resizew=265)
根据频率分布直方图填写下面2×2列联表,并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.
甲班(A方式) | 乙班(B方式) | 总计 | |
成绩优秀 | |||
成绩不优秀 | |||
总计 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24b4ec0ca5efce770596d2c357da1cf3.png)
![]() | 0.25 | 0.15 | 0.10 | 0.05 | 0.025 |
![]() | 1.323 | 2.072 | 2.706 | 3.841 | 5.024 |