题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185923-78127.png)
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![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185923-78127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185924-58177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185924-92156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185924-37799.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185925-33956.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185925-33956.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185923-78127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185923-48699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185924-58177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185924-58177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185923-48699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185925-61327.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185924-58177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185925-67216.png)
(Ⅰ)甲同学选择方案1.
求甲同学测试结束后所得总分等于4的概率;
求甲同学测试结束后所得总分
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185925-33956.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185925-83303.png)
(Ⅱ)你认为甲同学选择哪种方案通过测试的可能性更大?说明理由.
答案
解析
试题分析:(Ⅰ)在
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185926-83545.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185926-83545.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185926-83359.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185926-18321.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185926-18321.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185926-62064.png)
甲同学测试结束后所得总分为4可记作事件
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185927-71319.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185927-31414.png)
解:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185925-33956.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185927-70291.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185927-59708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185928-96467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185928-83004.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185928-40095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185928-39680.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185929-16451.png)
![]() | 0 | 2 | 3 | 4 |
![]() | 0.02 | 0.16 | 0.5 | 0.32 |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185929-41273.png)
(Ⅱ)解:甲同学选择方案1通过测试的概率为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185929-33363.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185930-19885.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185930-28338.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185930-14425.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185930-85800.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185931-27710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185931-89800.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185931-63928.png)
所以 甲同学应选择方案2通过测试的概率更大.
点评:本小题主要考查古典概型及其概率计算,考查取有限个值的离散型随机变量及其分布列和均值的概念,通过设置密切贴近现实生活的情境,考查概率思想的应用意识和创新意识.体现数学的科学价值.
核心考点
试题【在某校组织的一次篮球定点投篮测试中,规定每人最多投次,每次投篮的结果相互独立.在处每投进一球得分,在处每投进一球得分,否则得分. 将学生得分逐次累加并用表示,如】;主要考察你对随机事件的概率等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185918-69680.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185918-70786.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185918-92181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185919-52250.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185907-79218.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185907-16580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185908-27839.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185908-97559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185907-16580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185908-27839.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185908-97559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185908-68592.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185908-67727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185909-27839.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185909-14010.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185908-68592.png)
(2)记
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185909-22360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185909-22360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185903-37405.jpg)
(1)填写答题卡频率分布表中的空格,补全频率分布直方图,并标出每个小矩形对应的纵轴数据;
(2)试估计该年段成绩在
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185903-72626.png)
(3)请你估算该年级的平均分.
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185858-36088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185859-65098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185859-92949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185859-92949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185858-36088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185859-25747.jpg)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185848-88005.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185848-41665.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185849-20577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185849-96667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185849-67177.png)
(1)求取出的三个数字中恰有一个
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185848-88005.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185849-60686.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026185849-60686.png)
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