Решение задачи N3758 теория вероятностей Байеса

3758. The assembly shop receives parts from three production lines. The performance of these lines are 5: 3: 2. The probability of rejection for the first line is 0.01, for the second - 0.02 and for the third line - 0.03. a) Find the probability that a part taken at random is defective. b) At random, the taken part turned out to be defective. Determine the probability that it is made on the third line.

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