名校
1 . 在校运动会上,只有甲、乙、丙三名同学参加铅球比赛,比赛成绩达到
以上(含
)的同学将得优秀奖.为预测获得优秀奖的人数及冠军得主,收集了甲、乙、丙以往的比赛成绩,并整理得到如下数据(单位:
):
甲:
,
,
,
,
,
,
,
,
,
;
乙:
,
,
,
,
,
;
丙:
,
,
,
.
假设用频率估计概率,且甲、乙、丙的比赛成绩相互独立.
(1)估计甲在校运动会铅球比赛中获得优秀奖的概率;
(2)设
是甲、乙、丙在校运动会铅球比赛中获得优秀奖的总人数,估计
的数学期望
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90bbeb88466f25da82ee060774501475.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90bbeb88466f25da82ee060774501475.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
甲:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9345bdf48519d06d5e1ce4fce8e5a1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c91f2debae4a0c1b45c433aea549f82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeaecefa3b5eddf77c8884d6f9b90002.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adfe4f63df6a3ad7ffdc04a09925b647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b232449993a12f3230d336efef19e3bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c48241212a90fa3cfd56f790dc964a80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30c46126dd1770d5befd1f1fcfbc0294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c58bf914734532b6d55ebf2f50cc9e3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c0973ef9a0d170db0eed21875e99302.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37d09072960e414a1c52b257782c19d.png)
乙:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/043184cdc6fd97b8dcc62ba7ece8e9c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04454025e54fab417d0fa4efafef9f59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b800b333dc9a8c869a1e1c45176e3562.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/397e74821e0241a71c13cbf145325943.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d97bb8638659f6d889c710ef2ee045b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f85c807f08ab812f0fe920a8796d134.png)
丙:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ffabcd8ad53d826cefa48247134fa7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e065f2d60eb2f306e06650a9dbb700ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0218acc69d4dbb3475f9b32c90c36041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc1f5d8b3e68ed2cb7a861a40f23adf.png)
假设用频率估计概率,且甲、乙、丙的比赛成绩相互独立.
(1)估计甲在校运动会铅球比赛中获得优秀奖的概率;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bf3baba074e8aeb6f3ea117865bbd1b.png)
您最近一年使用:0次
名校
2 . 设
为随机变量,从边长为1的正方体12条棱中任取两条,当两条棱相交时,
;当两条棱异面时,
;当两条棱平行时,
的值为两条棱之间的距离,则数学期望
=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1317f8d562994833f26f0a2638cf19cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/793bd9d1f414dbdb881855aa6ae3de79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33470bee4febd946d39f7b63d6344c8f.png)
您最近一年使用:0次
2020-02-02更新
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1886次组卷
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