Решение задачи N3956 теория вероятностей Байеса

3956. Electric bulbs are manufactured at three plants. The 1st plant produces 30% of the total number of lamps, the 2nd one - 55%, and the 3rd one - the rest. Production of the 1st plant contains 1% of defective lamps, the 2nd one - 1.5%, and the 3rd one - 2%. The store receives products from all three plants. Bought the lamp was a marriage. What is the probability that it was produced by the 2nd plant?

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