随机变量的数学期望的应用

Application of Mathematics Expectation of Stochastic Variable

本文的第一部分应用数学期望的相关知识去解决高等数学中一些难以计算的积分问题以及无穷级数的求和问题，并将这些问题加以推广得到一般的计算公式。在本文的第二部分通过实例分析向读者介绍数学期望在实际问题中的应用。

In the first part of this paper, the author will apply the knowledge which is relevant to the mathematics expectation to calculating a kind of integrations and infinte series.It is difficult to solve these questions ,if we use the methods of advanced mathe- matics.In the second part of the paper ,the author will illustrate the application of mathematics expectation in the real world by examples.