收看时间(单位:小时) | ||||||
收看人数 | 14 | 30 | 16 | 28 | 20 | 12 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b72fcdc709e77910cd36a26369648b3.png)
男 | 女 | 合计 | |
体育达人 | 40 | ||
非体育达人 | 30 | ||
合计 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28b4b06478c218a0e3421f8c52427c8b.png)
(2)在全校“体育达人”中按性别分层抽样抽取6名,再从这6名“体育达人”中选取2名作冬奥会知识讲座.记其中女职工的人数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
附表及公式:
0.15 | 0.10 | 0.05 | 0.025 | 0.010 | 0.005 | 0.001 | |
2.072 | 2.706 | 3.841 | 5.024 | 6.635 | 7.879 | 10.828 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc485c58dbd6e50bfb352030f4a1c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae8ff881c459a3abd9de3ca8c9e95bb.png)
年份代码![]() | 1 | 2 | 3 | 4 |
线下销售额![]() | 95 | 165 | 230 | 310 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)随着网络购物的飞速发展,有不少顾客对该百货零售企业的线下销售额持续增长表示怀疑,某调查平台为了解顾客对该百货零售企业的线下销售额持续增长的看法,随机调查了55位男顾客、50位女顾客(每位顾客从“持乐观态度”和“持不乐观态度”中任选一种), 其中对该百货零售企业的线下销售额持续增长持乐观态度的男顾客有10人、女顾客有20人,补全
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b72fcdc709e77910cd36a26369648b3.png)
参考公式及数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/401acd566a8807c97d522a6fbd8cadd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a58291bd91befe1061530246da983727.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e3821f70c08c5180e9b3086d3c9610f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
![]() | 0.05 | 0.025 | 0.010 | 0.005 |
![]() | 3.841 | 5.024 | 6.635 | 7.879 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c71c3b3e5a438f57404b0cdb2eec4724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6342abf884f503519b88248eeea2807.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b72fcdc709e77910cd36a26369648b3.png)
持乐观态度 | 持不乐观态度 | 合计 | |
男顾客 | 10 | 55 | |
男顾客 | 20 | 50 | |
合计 | 105 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f851ee663d07bed1f1ca627d3079d77b.png)
![](https://img.xkw.com/dksih/QBM/2018/6/20/1971392596131840/2015795269607424/STEM/e5fe14a62e124612bfca839ef8cb1b7c.png?resizew=308)
(Ⅰ)填写下面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b72fcdc709e77910cd36a26369648b3.png)
(Ⅱ)将上述调查所得的频率视为概率,现从参赛学生中,任意抽取3名学生,记“获奖”学生人数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://img.xkw.com/dksih/QBM/2018/6/20/1971392596131840/2015795269607424/STEM/d0dc09460ade46499e4d1fa26cfb9887.png?resizew=338)
附表及公式:
![](https://img.xkw.com/dksih/QBM/2018/6/20/1971392596131840/2015795269607424/STEM/8b3864c3597842408ac7fe7ec8ba2883.png?resizew=169)
![](https://img.xkw.com/dksih/QBM/2018/6/20/1971392596131840/2015795269607424/STEM/b79a23d229334d8ebdef3b104ac193a3.png?resizew=88)
![](https://img.xkw.com/dksih/QBM/2018/6/20/1971392596131840/2015795269607424/STEM/c9c2782564454542af142570b8486a69.png?resizew=576)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6decc3a4d0b9e0074ede6428b633c856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a408a73a65717ef12447a51001c3d445.png)
这样的数称为“正方形数”.如图,可以发现任何一个大于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
“三角形数”之和,下列四个等式:①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33910b81182921de0875c8c53b5db586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a7c508d6e7dece4b55e5717db04843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e633d17990838dfc9b4cb2e8ecfdbd4.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3831adccf3d111c845a9a42c8f8f3d0.png)
![](https://img.xkw.com/dksih/QBM/2018/5/4/1938128177070080/1940356060635136/STEM/832486eaf62e46f888ad90540d63cdb4.png?resizew=235)
……
年龄 | [15,20) | [20,25) | [25,30) | [30,35) | [35,40) | [40,45) |
受访人数 | 5 | 6 | 15 | 9 | 10 | 5 |
支持发展 共享单车人数 | 4 | 5 | 12 | 9 | 7 | 3 |
年龄低于35岁 | 年龄不低于35岁 | 合计 | |
支持 | |||
不支持 | |||
合计 |
参考数据:
P(K2≥k) | 0.50 | 0.40 | 0.25 | 0.15 | 0.10 | 0.05 | 0.025 | 0.010 | 0.005 | 0.001 |
k | 0.455 | 0.708 | 1.323 | 2.072 | 2.706 | 3.841 | 5.024 | 6.635 | 7.879 | 10.828 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61dfb43eae40a12e896ac96dc14a4103.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00cf0d64694e842f47234e3417bee3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17e85c53a287e873f35c9ca64972023c.png)
支持 | 不支持 | 合计 | |
男性市民 | |||
女性市民 | |||
合计 |
(2)利用(1)完成的表格数据回答下列问题:
(i)能否在犯错误的概率不超过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/042e234d538bc2c789d7c5a314f1ca92.png)
(ii)已知在被调查的支持申办足球世界杯的男性市民中有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
附:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e3821f70c08c5180e9b3086d3c9610f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8530bc53d453d560af18f916ef01211c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be50d61bf7de6a8d2af4bd0926e794f8.png)
课外体育不达标 | 课外体育达标 | 合计 | |
男 | ![]() | ||
女 | ![]() | ||
合计 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b72fcdc709e77910cd36a26369648b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e2c4d12b3a705daab723ab243b6cc88.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab5bfefff364af09c94f2652fa6b106b.png)
![](https://img.xkw.com/dksih/QBM/2018/5/8/1941120105234432/1942515731185664/STEM/462fd7b4de13483a9410e315c1395613.png?resizew=228)
附参考公式与:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66b10a44c4d349b4bf264f700a6fe13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e671f082724e705cfa292b76635b8483.png)
文科生 | 理科生 | 合计 | |
获奖 | 5 | ||
不获奖 | |||
合计 | 50 | 200 |
![](https://img.xkw.com/dksih/QBM/2018/5/2/1936695980310528/1937878230908928/STEM/612ee97a58674eeaacb214d23aeb37aa.png?resizew=260)
(1)填写上面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b566cac6d7f9b5e9e920a4ad0f5a14dd.png)
(2)将上述调查所得的频率视为概率. 现从参赛学生中,任意抽取3名学生,记“获奖”学生人数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
步数/步 | 0-3000 | 3001-6000 | 6001-8000 | 8001-10000 | 10000以上 |
男生人数/人 | 1 | 2 | 7 | 15 | 5 |
女性人数/人 | 0 | 3 | 7 | 9 | 1 |
![](https://img.xkw.com/dksih/QBM/2018/4/29/1934586950082560/1936102080536576/STEM/d8b7d0d70e5a49a8aade47164e41bebd.png?resizew=401)
规定:人一天行走的步数超过8000步时被系统评定为“积极性”,否则为“懈怠性”.填写上面列联表(单位:人),并根据列表判断是否有90%的把握认为“评定类型与性别有关”;
支持 | 不支持 | 合计 | |
年龄不大于50岁 | _______ | _______ | 80 |
年龄大于50岁 | 10 | _______ | _______ |
合计 | _______ | 70 | 100 |
(1)根据已知数据,把表格填写完整;
(2)是否有95%的把握认为年龄与支持申办奥运有关?
附表:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc485c58dbd6e50bfb352030f4a1c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
0.100 | 0.050 | 0.025 | 0.010 | |
2.706 | 3.814 | 5.024 | 6.635 |