Q4) A desk lamp produced by The Luminar Company was found to bedefective (D). There are three factories (A, B, C) where such desklamps are manufactured. A Quality Control Manager is responsiblefor investigating the source of found defects. They know thatfactory A supplies 50% of the total lamps, factory B supplies 30%of the total lamps, and factory C supplies 20% of the total lamps.They also know that on average, 2.0% or factory A’s lamps aredefective, 1.0% of factory B’s lamps are defective, and 3.0% offactory C’s lamps are defective. If a randomly selected lamp isdefective, what is the probability that it was manufactured infactory A? If a randomly selected lamp is defective, what is theprobability that it was manufactured in factory B? If a randomlyselected lamp is defective, what is the probability that it wasmanufactured in factory C? If a randomly selected lamp is notdefective, what is the probability that it was manufactured infactory A?
