Решение задачи N3848 теория вероятностей Байеса

3848. 70% of the parts entering the assembly are made by an automatic machine giving 2% of scrap, and the remaining parts by an automatic machine giving 5% of scrap. Randomly taken detail was defective. What is the probability that it is made the first machine?

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