【简答题】![](https://cos-cdn.shuashuati.com/shuashuati-web/2024-0521-0905-00/logo-new-ad743.png)
自主招生是高校在高考前争抢优等生的一项重要举措,不少同学也把自主招生当做高考前的一次锻炼,可谓是一层锻炼一层认识呀.据参加自主招生的某同学说,某高校2012自主招生选拔考试分为初试和面试两个阶段,参加面试的考生按照抽签方式决定出场顺序.通过初试,选拔出甲、乙等五名考生参加面试.
(1)求面试中甲、乙两名考生恰好排在前两位的概率;
(2)若面试中甲和乙之间间隔的考生数记为X,求X的分布列和数学期望.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAYAAABzenr0AAAA5ElEQVRYR2NkGGDAOMD2M+B0wKpVq9huv/jbxPD/fxwDA4MkhQ59zsDIuEhVgrkuLCzsF7JZOB3QOml5B8P//+UUWoyqnZGxszovsoI4B0xc9gyfzxmZmb2rcsK3IRvWMWm599///7fgcfTz6vwoKWId8B+f75kZGX0q8iK3kugAhur8KJRQxx0FE5fhdQC5UTPqgNEQGA2B0RAYDYHREBgNgaETAuTW96TqG7yt4tbRFhGRIQBqHTP9+8dIoDUMTxqk5AK8zXKYiaDWMYhNpANIaJYPdMdkwLtmpOZnctUPeDkAAP6tmiH1ggTLAAAAAElFTkSuQmCC)
手机使用
![](https://cos-cdn.shuashuati.com/shuashuati-web/2024-0521-0905-00/share-ico-3febd.png)
分享
![](https://cos-cdn.shuashuati.com/shuashuati-web/2024-0521-0905-00/link-f6c98.png)
复制链接
![](https://cos-cdn.shuashuati.com/shuashuati-web/2024-0521-0905-00/weibo-3e538.png)
新浪微博
![](https://cos-cdn.shuashuati.com/shuashuati-web/2024-0521-0905-00/qq-1c308.png)
分享QQ
![](https://cos-cdn.shuashuati.com/shuashuati-web/2024-0521-0905-00/wechat-a78ae.png)
微信扫一扫
微信内点击右上角“…”即可分享
![](https://cos-cdn.shuashuati.com/shuashuati-web/2024-0521-0905-00/report-ico-11843.png)
反馈
![收藏 - 刷刷题](https://cos-cdn.shuashuati.com/shuashuati-web/2024-0521-0905-00/coll-ico-cfcc9.png)
收藏
![](https://cos-cdn.shuashuati.com/shuashuati-web/2024-0521-0905-00/jubao-9c477.png)
举报
参考答案:
![](https://cos-cdn.shuashuati.com/shuashuati-web/2024-0521-0905-00/logo-new-ad743.png)
参考解析:
![](https://cos-cdn.shuashuati.com/shuashuati-web/2024-0521-0905-00/logo-new-ad743.png)