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xyrg+ · 2022年09月11日

C选项

NO.PZ2015120604000101

问题如下:

Which of the following statements most accurately describe a lognormal distribution?

选项:

A.

The mean of lognormal distribution equals the mode of lognormal distribution.

B.

The Lognormal distribution's outcome can not be less than zero.

C.

lognormal distributions have outcomes that cannot be positive

解释:

B is correct.

The probability of a lognormally distributed variable is always greater than or equal to 0.

C选项哪里不对呢?outcome can not be less than zero可以转述为是positive的吗?还是说positive只能用于形容分布是左偏还是右偏?

1 个答案

星星_品职助教 · 2022年09月11日

同学你好,

1)postive指的是结果取值为正,也就是outcome can not be less than zero。由于lognormal所有的取值都在第一象限,所以C选项的描述说反了。正确的说法是all positive / cannot be less than zero / cannot be negative。

2)偏度的衡量是skewness,lognormal distribution为positive skewness,即右偏。