Full Probability Formula Based on the Conditional Expectation and its Applications
Hui Xu, WU Guo-gen · 2004
This paper deduces the full probability formula for discrete random variable and continuous random variable based on the conditional expectation and function I_A of indication attribute of random event A. It is difficult for solving the like random problems of discrete and continuous by means of the full probability formula in reference document. But we adopt the full probability formula of this paper and the result is satisfactory and practical. The formula can broaden the range of the formula's application and its thinking of solving a problem, the same time the formula also plays an important role in the reliability theory, so it is worth to be speeded and applied.