1. 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. A Quality Control Manager (QCM) is responsible for investigating the source of found defects. This is what the QCM knows about the company's desk lamp production and the possible source of defects: (Use Bayes' theorem) Factory % of total production Probability of defective lamps A 0.35 =P(A) 0.015 = P(DIA) B 0.35 = P(B) 0.010 = P( DB) 0.20 P( DC) If a randomly selected lamp is defective, what is the probability that the lamp was manufactured in factory C