题目内容
某单位招聘面试,每次从试题库随机调用一道试题,若调用的是
类型试题,则使用后该试题回库,并增补一道
类试题和一道
类型试题入库,此次调题工作结束;若调用的是
类型试题,则使用后该试题回库,此次调题工作结束。试题库中现共有
道试题,其中有
道
类型试题和
道
类型试题,以
表示两次调题工作完成后,试题库中
类试题的数量。
(Ⅰ)求
的概率;
(Ⅱ)设
,求
的分布列和均值(数学期望)。
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215232799300.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215232799300.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215232830309.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215232830309.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215232877441.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215232908297.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215232799300.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233142337.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215232830309.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233189319.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215232799300.png)
(Ⅰ)求
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233236529.png)
(Ⅱ)设
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233267436.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233189319.png)
(Ⅰ)
的概率为![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233329774.png)
(Ⅱ)求
的均值为![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233376365.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233236529.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233329774.png)
(Ⅱ)求
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233189319.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233376365.png)
(I)
表示两次调题均为
类型试题,概率为![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233329774.png)
(Ⅱ)
时,每次调用的是
类型试题的概率为
随机变量
可取![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233563566.png)
,
,![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233641943.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232152340781272.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233236529.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215232799300.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233329774.png)
(Ⅱ)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233267436.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215232799300.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233532484.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233189319.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233563566.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233594942.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232152336101080.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823215233641943.png)
![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() | ![]() |
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232152340781272.png)
![](http://thumb.zyjl.cn/images/loading.gif)
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