Решение задачи N3850 теория вероятностей Байеса

3850. 70% of the parts entering the assembly are made by an automatic machine giving 2% of scrap, and the remaining parts are made by an automatic machine giving 5% of scrap. 1) What is the probability that a randomly selected item was defective? 2) It is known that the part taken at random turned out to be defective. On which machine was this part most likely produced?

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)