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Kathy苏苏 · 2023年03月14日

uniform random variable

NO.PZ2020010302000001

问题如下:

What is the key difference between a discrete and a continuous random variable?

选项:

解释:

Discrete random variables have support on only a finite(or possibly countably infinite) set of points. These points are all distinct in the sense that it there is always some number between any two points in the support. A continuous random variable has support over a continuous range of values. This range can be finite, as in a uniform random variable; or infinite, as in a standard normal random variable.

为什么uniform random variable的range是 finite?

1 个答案

品职答疑小助手雍 · 2023年03月14日

同学你好,均匀分布必须是有限的空间内才能有概率密度函数,比如1-100的均匀分布这种。

如果空间变成1到正无穷,那这个分布里面1到2的概率占多少,就变成无法计算的了。

所以range是有限的。

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