题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004913-70142.png)
产品受欢迎的概率分别为
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004913-80817.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004913-59401.png)
![]() |
(Ⅰ)求该公司至少有一种产品受欢迎的概率;
(Ⅱ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004914-20276.png)
(Ⅲ)求数学期望
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004914-96825.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004914-49971.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004914-88674.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004915-30387.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004915-94012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004915-21460.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004915-11442.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004916-76790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004916-72348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004914-49971.png)
第二问中,由题意知
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004916-68793.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004916-17062.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004917-71857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004917-38179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004917-64057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004914-88674.png)
第三问中,
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004917-81997.png)
解:设事件
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004915-94012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004915-21460.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004915-11442.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004916-76790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004918-32831.png)
(Ⅰ)由于事件“该公司至少有一种产品受欢迎”与事件“
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004916-72348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004914-49971.png)
(Ⅱ)由题意知
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004918-25189.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004916-17062.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004917-71857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004917-38179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004917-64057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004914-88674.png)
(Ⅲ)由题意知
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004918-17184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004918-68713.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004918-11084.png)
因此
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004919-54837.png)
核心考点
试题【某公司向市场投放三种新型产品,经调查发现第一种产品受欢迎的概率为,第二、第三种产品受欢迎的概率分别为,且不同种产品是否受欢迎相互独立.记为公司向市场投放三种新型】;主要考察你对离散型随机变量均值与方差等知识点的理解。[详细]
举一反三
试求出该考生的选择题:
(I)得30分的概率;
(II)得多少分的概率最大;
(III)所得分数
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004901-86996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004849-44989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004849-49070.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004849-74633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004849-14058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004849-77161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004850-71491.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004850-76842.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004850-66976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004850-69430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004851-16347.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004851-90035.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004851-44749.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004851-42897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004852-96562.png)
若记
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004852-50378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004852-42733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004849-74633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004850-69430.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() ![]() ![]() ![]() ![]() ![]() |
甲,乙两人进行乒乓球比赛,约定每局胜者得
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004833-16196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004833-84630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004833-92286.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004833-65486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004833-36802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004833-77541.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004834-31062.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004834-69546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004834-69546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004834-27744.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004819-33351.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004819-68726.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004819-76173.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004819-38670.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004820-10350.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004819-76173.png)
(Ⅰ)求该射手恰好命中一次的概率;
(Ⅱ)求该射手的总得分
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004820-97866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004820-30361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004808-63790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004809-40079.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030004809-15319.png)
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