随机变量X满足
,则随机变量X的期望![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac87b4bd71432d757c7b78bbd6b2dcfd.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc47f3b70b4cfa3317e8320eff66b710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac87b4bd71432d757c7b78bbd6b2dcfd.png)
23-24高二下·河南郑州·期中 查看更多[2]
河南省郑州市十校2023-2024学年高二下学期期中联考数学试卷(已下线)7.3 离散型随机变量的数字特征(6大题型)精讲-2023-2024学年高二数学题型分类归纳讲与练(人教A版2019选择性必修第三册)
更新时间:2024-05-27 23:17:46
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适中
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【推荐1】已知某离散型随机变量
的均值
,
的分布列如下表:
则
______ ,
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d123c644bdc3953e33d9fb6b9580da94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
0 | 1 | 2 | 3 | |
P | a | b |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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【推荐2】设离散型随机变量
的概率分布如下,
若随机变量
满足
,,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a410f3a274456b579cc10d8a32ee012c.png)
______ ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f412feb8dcad5599ddfe1d1ceb00ac0b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![]() | 0 | 1 | 2 |
![]() | ![]() | ![]() | ![]() |
若随机变量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af87266d442c1a981bf9b1b3f0bac2c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a410f3a274456b579cc10d8a32ee012c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f412feb8dcad5599ddfe1d1ceb00ac0b.png)
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【推荐1】袋中装有质地,大小相同的5个红球,
个白球,现从中任取2个球,若取出的两球都是红球的概率为
,则
______ ;记取出的红球个数为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e35f7cb3cdb98cf707cfadf0c83a04.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0b07e83788d3bb55ef09d3e7b31245.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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【推荐2】已知离散型随机变量X的分布列为
设
,则Y的数学期望![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf1de1b5a8eeccede22033ab16c689d0.png)
______ .
-1 | 0 | 1 | |
a |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7daebfc2083d11d7a884047dec14614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf1de1b5a8eeccede22033ab16c689d0.png)
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