解 (1)样本中男生人数为40 ,由分层出样比例为10%估计全校男生人数为400。 (2)有统计图知,样本中身高在170~185cm之间的学生有14+13+4+3+1=35人,样本容量为70 ,所以样本中学生身高在170~185cm之间的频率 故估计该校学生身高在170~185cm之间的概率![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140144-95336.gif) (3)样本中身高在180~185cm之间的男生有4人,设其编号为1,2,3,4 样本中身高在185~190cm之间的男生有2人,设其编号为5,6 从上述6人中任取2人的不同结果为:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140144-80687.gif) ![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140144-34556.gif) ![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140144-10335.gif) ![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140144-62884.gif) ![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140145-60531.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140145-53294.gif) ![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140145-55451.gif) ![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140145-34982.gif) ![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140146-31075.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140146-23570.gif) ![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140146-82298.gif) ![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140146-20758.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140147-55641.gif) ![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140147-40468.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140147-22730.gif) 共15种. 至少有1人身高在185~190cm之间的不同结果有:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140144-62884.gif) ![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140145-60531.gif) ![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140145-34982.gif) ![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140146-31075.gif) ![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140146-82298.gif) ![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140146-20758.gif) ![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140147-55641.gif) ![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026140147-40468.gif) ,共有9种. 因此,至少有1人身高在185~190cm之间的概率 . |