Решение задачи N3656 теория вероятностей Байеса

3656. From the first automatic machine on the assembly conveyor 15% of parts go from the second and third to 35% and 50%, respectively. The probabilities of issuing defective parts are for each of them, respectively, 0.2%, 0.05% and 0.09%. Find the probability that the part received at the assembly will be defective, and it is made on the second machine.

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