Keyword: «distribution law»

The technique of definition of grains tops on a working surface of a tool is considered in the paper. Under the action of various processes of wear, the distribution of grains tops forming the relief of the working surface of abrasive tool is constantly changing. Features of formation of a working surface of circles of various characteristics are shown at grinding on various depths. Also the quantity of the grains, which have left a trace on the processed surface is defined, law of their distribution for the first time is established. The results of the research of a working surface are resulted at flat grinding of stainless steel Р6М5. Efficiency increase of production is proved.

In work the method of presentation of the topic "Functions of random variables" in the course "Probability theory". The article is written based on years of experience teaching this subject and will be useful for both students and teachers in conducting practical classes. There are no proofs of the theorems used, however, a list of references that can be consulted for more detailed explanations. Considered a large number of examples that will allow students to learn the material under study to the extent necessary. The aim of this work is to help students to acquire skills in the application of probability methods to the solution of various problems.