and 4. A company uses three plants to produce a new computer chip. Plant A produces chips. Plant B produces 45% of the chips. The rest of the chips are produced by plant C. Each plant has its own defective rate. These are: plant A produces 3% defective chips, plant B produces 1% defective chips, plant C produces 5% defective chips. Hint: draw a tree diagram. (a) Construct a tree diagram and write the appropriate probability on each of the branches. (b) Find the probability that a randomly chosen chip is defective and from plant B. Answer: 0.0045 (c) Find the probability that a randomly chosen chip from Plant C is defective. Answer: 0.05 (d) Find the probability that a randomly chosen chip is defective. Answer: 0.026 (e) Find the probability that a randomly chosen defective chip is from plant C. (Hint: look at Example 12 on Pages 3-22 to 3-24.) Answer: 0.481 (f) Find the probability that a randomly chosen chip is not from plant A. Answer: 0.700 (g) Find the probability that a randomly chosen defective chip is not from plant A. Answer: the 0.654 (3.P.2)