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[求助] 数学概率密度函数定义句子翻译求助

(1)A probability density function is a mathematical function that describes the proability of each member of a discrete set or a continuous range of outcomes or possile values of a variable. Common examples of probability density functions are lognormal, normal(Gaussian) exponentail, and pareto.
概率密度函数(PDF)是一个数学函数,用于描述离散集合中每个元素的出现概率,以及连续输出或随机变量的概率分布。常见的概率密度函数有对数正态分布、正态(高斯)分布、指数分布和Pareto分布。

(2)Expected value is mathematically defined as the integral of a random variable with its probability measure. These are theoretical terms. Their experimental counterparts are the mean or average value that is calculated as the probability-weighted sum of sample values.

它的数学定义是随机变量可能结果的概率乘以实际结果的总和,这是理论的说法。实验的说法是,它是样本值的概率加权之和的平均值。

汇总一起,求帮忙修改。谢谢!
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