中文摘要：

研究W^＊-概率空间上的正常随机变量的期望、方差和＊-自由性等性质，给出了关于正常随机变量的车贝晓夫不等式及大数定理．

英文摘要：

In this paper, the expectation, variance and the ＊-freeness of normal operators in a W^＊-probability space are considered, the Techebycheff＇s inequality and law of large numbers of the normal random variables are obtained.