名校
1 . 某企业举行招聘考试,共有
人参加,分为初试和复试,初试成绩总分
分,初试通过后参加复试.
(1)若所有考生的初试成绩
近似服从正态分布
,其中
,
,试估计初试成绩不低于
分的人数;(精确到个位数)
(2)复试共三道题,每答对一题得
分,答错得
分,答完三道题后的得分之和为考生的复试成绩.已知某考生进入复试,他在复试中第一题答对的概率为
,后两题答对的概率均为
,且每道题回答正确与否互不影响.记该考生的复试成绩为
,求
的分布列及期望.
附:若随机变量
服从正态分布
,则:
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dadc63e6e33743ce590ed968948a5a58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efba7147f5b9ced8bc4a72f0a9fb8af.png)
(1)若所有考生的初试成绩
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29bcc248a7770a16fa10fc4602d71e0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e29795871d00f4a61552b2d7a40dbd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963691be3f8dabac6fdeff82eeaf8c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f959e5f8d89390f0f136f6acc9f6fb.png)
(2)复试共三道题,每答对一题得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac97e6740365c85ad857aff85cefbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
附:若随机变量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29bcc248a7770a16fa10fc4602d71e0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a73c92c442a142d4e5fc618dc00bcf30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b65e903fb7fe549c73f55779df19729f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/112b77b25edccc41e2253c5b779d107e.png)
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2023-04-26更新
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3卷引用:四川省遂宁市射洪中学校2024届高三下学期开学考试理科数学试题
四川省遂宁市射洪中学校2024届高三下学期开学考试理科数学试题四川省遂宁市2023届高三三诊考试数学(理)试题(已下线)第七章 随机变量及其分布(单元测试)-【同步题型讲义】2022-2023学年高二数学同步教学题型讲义(人教A版2019选择性必修第三册)