Решение задачи N3845 теория вероятностей Байеса

3845. It is known that the probability of manufacturing a top-quality part is equal to 0.92 on the first machine, 0.8 on the second. Non-sorted parts made on both machines are in stock. Among them, the parts made on the first machine are 3 times more than the parts made on the second. Randomly taken detail was defective. Find the probability that it is made on the second machine.

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