23-24高二下·江苏·期末
解题方法
1 . 已知随机变量X的分布列为则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/981a1cde2aefb846d30f461a39a1d062.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/981a1cde2aefb846d30f461a39a1d062.png)
X | 0 | 10 | 100 |
P | 0.81 | ![]() | 0.09 |
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2 . 已知随机变量
的取值为
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c56d3c6256e17c9d4bbc44b2cfe8ae94.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce9f696b2e58dbdf5e89f1b35e30b89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0f3980df4df293308601b6a1895d78b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/006c079866a96892cf86597b47afad44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c56d3c6256e17c9d4bbc44b2cfe8ae94.png)
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3卷引用:浙江省湖州中学2023-2024学年高二下学期第二次阶段性测试数学试题
浙江省湖州中学2023-2024学年高二下学期第二次阶段性测试数学试题广东省深圳市福田区红岭中学2023-2024学年高二下学期期中考试数学试卷(已下线)专题04 随机变量的均值与方差综合--高二期末考点大串讲(人教B版2019选择性必修第二册)
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3 . 随机变量
的取值为0,1,2,分布列如图:若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1c0f363e40a7bcb1a705f74bf08e871.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/006c079866a96892cf86597b47afad44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1c0f363e40a7bcb1a705f74bf08e871.png)
![]() | 0 | 1 | 2 |
![]() | ![]() | ![]() | ![]() |
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4 . 已知A,B两个袋子中有除了颜色外完全相同的黑球,白球若干.其中A袋子有2只黑球,1只白球,B袋子中有2只黑球,2只白球.现从A,B两袋中随机选一只球交换,则交换后A袋中黑球个数的数学期望为______ .
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5 . 设随机变量
可能的取值为1,2,3,4,
,又
的数学期望为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb2f87452a6a5fe9dd73766b16d66bf.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8331019abb141f862ee3f64d237849.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a834ba133848ef3bc0f9b1b2466caa64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb2f87452a6a5fe9dd73766b16d66bf.png)
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6 . 已知随机变量
的概率分布为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/010924a0a60b9b270f82b8becc33a771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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7 . 已知随机变量
的分布列如下,随机变量
满足
,则随机变量
的期望
是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/600e2f07437fc2649b037b9802ffce04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71701db4b413f2364dbcbd612fbc8a67.png)
![]() | 0 | 1 | 2 |
![]() | ![]() | ![]() | a |
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8 . 设随机变量
的分布列为
(
),则实数
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0973a3e17dc1abd2edbdfa50bc866967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5869653c67df9d50dd7f0cbb08d468f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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9 . 一个袋子中装有2个红球和3个白球,假设每个球被摸到的可能性是相等的.从袋子中摸出2个球,设拿出白球的个数为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284341eb43bbc1609922796f7f570bc6.png)
_______ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d419c30ff40e9b368a3f151f639dac8f.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284341eb43bbc1609922796f7f570bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d419c30ff40e9b368a3f151f639dac8f.png)
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解题方法
10 . 已知随机变量X的分布列为
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/981a1cde2aefb846d30f461a39a1d062.png)
________ .
X | 0 | 10 | 100 |
P | 0.81 | ![]() | 0.09 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/981a1cde2aefb846d30f461a39a1d062.png)
您最近一年使用:0次