Решение задачи N3924 теория вероятностей Байеса

3924. Two factories produce the same products, with the first producing 70% and the second 30%. Marriage of the first is 3%, the second is 12%. The sample taken at random turned out to be defective. What is the probability that it is made at the second plant?

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