1. Suppose a factory has two machines A and B that produce 60% and 40% of the total output, respectively. Suppose also that 3% of machine A's output and 5% of machine B's output is defective. (a) (5 points) If an item is chosen at random off the production line, what is the probability it will be defective? (b) (5 points) If the item chosen is defective, what is the probability it came from machine B?
Added by Julian F.
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We know that machine A produces 60% of the total output and has a 3% defective rate. So, the probability of an item being defective from machine A is 0.60 * 0.03 = 0.018. Show more…
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