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What is the limit of the CDF as x tends ...

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题目

What is the limit of the CDF as x tends to infinity?

选项

A.Less than 1.0

B.Equal to 1.0

C.Greater than 1.0

D.Depends on the degrees of freedom

答案

B

解析

It is part of the definition of a probability distribution that the area under the curve equals 1.0;i.e., CDF(x tends to infinite) = 1.0.Various degrees of freedom will impact peak/tail but will not change the probability distribution.曲线下的面积等于1.0;即CDF(x趋于无穷大)= 1.0是概率分布定义的一部分。各种自由度将影响峰/尾,但不会改变概率分布。