Use for questions 1, 2 and 3. An automobile manufacturer obtains the microprocessors used to regulate fuel consumption in its automobiles from three microelectronic firms: A, B, and C. The quality-control department of the company has determined that 1% of the microprocessors produced by firm A are defective, 2% of those produced by firm B are defective, and 1.5% of those produced by firm C are defective. Firms A, B, and C supply 45%, 25%, and 30%, respectively, of those microprocessors used by the company. An automobile is selected at random. Draw a tree diagram. 1. What is the probability it was manufactured at firm B and it was found to be defective? A. .0050 B. .0150 C. .0140 D. .0200 2.What is the probability it is defective? A. .0038 B. .0150 C. .0140 D. .0200 3. What is the probability it was defective given it was manufactured at firm C? A. .0038 B. .0150 C. .0140 D. .0200 Use for questions 4 and 5. An urn contains 10 red and 13 blue marbles. Two marbles are chosen at random, in succession and without replacement. Draw tree diagram. 4. What is the probability a marble is blue? A. .4348 B. .5652 C. .5504 D. .5455 5. What is the probability that the first marble was red, given that the second one was blue? A. .4545 B. .5652 C. .5504 D. .5455