题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095149-86850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095149-28717.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095149-80714.png)
(1)求抽取的男学生人数和女学生人数;
(2)通过对被抽取的学生的问卷调查,得到如下
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095149-94176.png)
| 否定 | 肯定 | 总计 |
男生 | | 10 | |
女生 | 30 | | |
总计 | | | |
②能否有
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095149-76796.png)
(3)若一班有
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095149-43696.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095150-88059.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095150-85679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095150-88059.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095150-37484.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095150-37484.png)
现从这
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095150-67344.png)
解答时可参考下面临界值表:
![]() | 0.10 | 0.05 | 0.025 | 0.010 | 0.005 |
![]() | 2.706 | 3.841 | 5.024 | 6.635 | 7.879 |
答案
(2) ①
| 否定 | 肯定 | 总计 |
男生 | 45 | 10 | 55 |
女生 | 30 | 20 | 50 |
总计 | 75 | 30 | 105 |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095149-76796.png)
(3)0.5
解析
试题分析:解:(1)共抽取
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095150-47882.png)
男生
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095151-75267.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095151-27003.png)
(2)①
| 否定 | 肯定 | 总计 |
男生 | 45 | 10 | 55 |
女生 | 30 | 20 | 50 |
总计 | 75 | 30 | 105 |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095151-22676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095151-97891.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095151-33312.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095151-82035.png)
所以 有
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095149-76796.png)
(3)记一班被抽到的男生为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095152-93787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095152-16175.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095152-53522.png)
二班被抽到的女生为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095152-87362.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095152-36985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095153-79520.png)
则所有抽取可能共有20种:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095153-99659.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095153-70799.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095153-87873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095154-33180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095154-68644.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095154-52779.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095154-20030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095155-87361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095155-33493.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095155-14207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095155-64157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095155-67190.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095156-92266.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095156-49837.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095156-94674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095156-59611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095157-69694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095157-15354.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095157-97493.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095157-44962.png)
其中恰有一人持否定态度一人持肯定态度的有10种:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095153-87873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095154-33180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095154-20030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095155-87361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095155-64157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095155-67190.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095156-94674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095156-59611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095157-69694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095157-15354.png)
记“从这
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095150-67344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095157-32358.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095158-20170.png)
答:(1)抽取男生55人,女生50人;(2)有有
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095149-76796.png)
(3)恰有一人持肯定态度一人持否定态度的概率为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095158-42853.png)
点评:主要是考查了独立性检验以及等可能事件的概率的求解属于基础题。
核心考点
试题【某校为了解高三年级不同性别的学生对体育课改上自习课的态度(肯定还是否定),进行了如下的调查研究.全年级共有名学生,男女生人数之比为,现按分层抽样方法抽取若干名学】;主要考察你对用样本的频率分布估计总体分布等知识点的理解。[详细]
举一反三
| 一年级 | 二年级 | 三年级 |
女生 | 373 | ![]() | ![]() |
男生 | 377 | 370 | ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095135-96185.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095135-27325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095136-20053.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095136-32593.png)
A.![]() ![]() ![]() | B.![]() ![]() ![]() |
C.![]() ![]() ![]() | D.![]() ![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095128-85011.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095129-13735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095129-13735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095128-85011.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095129-97975.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095129-97306.png)
![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095131-56058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095131-98380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095130-83146.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095131-47818.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095124-18478.png)
A.该市这次考试的数学平均成绩为![]() |
B.分数在![]() ![]() |
C.分数在![]() ![]() |
D.该市这次考试的数学标准差为![]() |
①在频率分布直方图中估计平均数,可以用每个小矩形的高乘以底边的中点的横坐标之和;
②残差平方和越小的模型,拟合的效果越好;
③用相关指数
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095118-16637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095118-16637.png)
④随机误差
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095118-11966.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095119-67651.png)
⑤对分类变量
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095119-18061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095119-52774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095119-27431.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095120-96758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095120-96758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095119-18061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095119-52774.png)
A.①③ | B.②④ | C.③⑤ | D.②③ |
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