B. In a bolt factory, machines A, B and C manufacture 25%, 35% and 40% of total outputs, respectively. Of the total of their outputs, 5%, 4% and 2% are defective bolts, respectively. A bolt is drawn at random and is found to be defective. What is the probability that it was manufactured by machines A, B or C? [4 Marks]
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For machine A, it produces 25% of the total bolts and 5% of these are defective. So, the probability of a bolt being defective from machine A is 0.25 * 0.05 = 0.0125. For machine B, it produces 35% of the total bolts and 4% of these are defective. So, the Show more…
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