Решение задачи N3892 теория вероятностей Байеса

3892. Three workers handle the same type of parts. The first one processed 30 parts for a shift, the second - 25, the third - 15. The probability of marriage for the first worker is 0.04, for the second - 0.02, for the third - 0.03. From the total output per shift, one detail was taken and tested at random. a) Find the probability that it will be defective. b) A piece taken at random was defective. Find the probability that it is processed by the second worker.

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