概率统计的研究对象是随机现象.

The research object for probability statistics is a random phenomenon.

当我们把预测的概念理解为一个确定性的概念时，那么对于随机现象的预测是不可能的。

When we regard the conception of prediction as deterministic , it is impossible to predict random phenomenon.

模糊现象可以属于随机现象。

It is intended to show that the fuzzy appearances may fall into the category of random appearances.

结果，如果一个玩具含铅或者不含铅，完全是一种随机现象。

As a result, it can be kind of random if a toy might have lead or not.

概率论与数理统计的研究对象是随机现象，而随机事件及其概率是概率论与数理统计的基础。

Random phenomena are the object of study of probability theory and mathematical statistics, and random matters and their probabilities are the basis of probability theory and mathematical statistics.

蒙特卡洛法的实质是利用服从某种分布的随机数来模拟现实系统中可能出现的随机现象。

The essence of Monte-Carlo Simulation is that using the random variable of certain known stochastic distribution to simulate the stochastic phenomena of possible appearance in the real world.

从而使学生初步掌握处理随机现象的基本思想和方法，培养学生运用概率统计方法分析和解决实际问题的能力。

It aims to provide students with the basic concepts, basic theories and techniques which may help students to gain good understanding of real world and build up problem -solving abilities.