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There are two machines in a factory; Machine A produces 40% of products in this factory. Machine B produces 60% of products in this factory.

There are two machines in a factory;

Machine A produces 40% of products in this factory.

Machine B produces 60% of products in this factory.

Given that a product is made by machine A, the probability it is defective is 5% Given that a product is made by machine B, the probability it is defective is 3%. Find the probability :

a) a randomly selected item is produced by machine A and is defective.

b) a randomly selected itemis defective.

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