1. what is the probability table?2. if the QCM randomly selects a defective lamp, what is the probability the lamp was manufactured by factory A

A desk lamp produced by The Luminar Company was found to be defective (D). There are three factories (A, B, C) where such desk lamps are manufactured with factories A and Beach manufacturing 35% of the lamps and factory C manufacturing the remaining 30% of the lamps. A Quality Control Manager (QCM) is responsible for investigating the source of found defects. The QCM found that 1.5%, 1% and 2% of the lamps manufactured at factories A, B and C, respectively, are defective. If the OCM randomly selects a defective lamp, what is the probability that the lamp was manufactured at factory C