(6) a manufacturing firm produces steel pipes in three plants with daily production yolumes of 500, 1,000 and 2,000 units respectively. according to past experi

(6) A manufacturing firm produces steel pipes in three plants with daily production yolumes of 500, 1,000 and 2,000 units respectively. According to past experience it is known that the fraction of defective outputs produced by the three plants are respectively 0-005, 0-008 and 0-010. If a pipe is selected at random from a day's total production and found to be defective, from which plant is that pipe likely to have come?