30
个编辑
更改
跳到导航
跳到搜索
第380行：
第380行： + + +
→Continuous probability distribution 连续概率分布
:<math>\operatorname{P}\left[a \le X \le b\right] = \int_a^b f(x) \, dx</math>
:<math>\operatorname{P}\left[a \le X \le b\right] = \int_a^b f(x) \, dx</math>
--[[用户:普天星相|普天星相]]([[用户讨论:普天星相|讨论]]) 【审校】“例如”前一句中，将“如果”以后内容作为前半句，“对于”前加“使得”二字，“<math>I \subset \mathbb{R}</math>”后加逗号，“<math>I</math>的概率 <math>X</math>”改为“随机变量 <math>X</math>属于<math>I</math>的概率”，“一个随机变量<math>X</math> 有一个连续的概率分布”改为“则称这个随机变量<math>X</math> 有一个连续的概率分布”并置于后半句。
In particular, the probability for <math>X</math> to take any single value <math>a</math> (that is <math>a \le X \le a</math>) is zero, because an [[integral]] with coinciding upper and lower limits is always equal to zero. A variable that satisfies the above is called '''continuous random variable'''. Its cumulative density function is defined as
In particular, the probability for <math>X</math> to take any single value <math>a</math> (that is <math>a \le X \le a</math>) is zero, because an [[integral]] with coinciding upper and lower limits is always equal to zero. A variable that satisfies the above is called '''continuous random variable'''. Its cumulative density function is defined as