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Question 2 In a certain assembly plant, three machine, A, B and C make 40%, 35% and 25% respectively, of the products. From past experience

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Question 2 In a certain assembly plant, three machine, A, B and C make 40%, 35% and 25% respectively, of the products. From past experience it is known that probability of defect products made by each machine are 0.05, 0.03 and 0.15, respectively. Now suppose that a finished product is randomly selected. What is the probability that a product selected is defective? (3 marks) ii. If a product was chosen randomly, and found to be defective, what is the probability that it was made by Machine B? (2 marks)

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