as many items as B, and that B and C turn out the same period. It is also known that 2 % of the items produced manufactured by C are defective. All the items produced is chosen at random. a Define the corresponding events and write down the gi b What is the probability that this chosen item is defect: c Civen that the chosen item is defective what's the pro

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A certain item is manufactured by three factories, say A, B, and C. It is known that A turns out twice
as many items as B, and that B and C turn out the same number of items during a specifed production
period. It is also known that 2 % of the items produced by A and B are defective, while 4 % of those
manufactured by C are defective. All the items produced are put into one stockpile, and then one item
is chosen at random.
a Define the corresponding events and write down the given probabilities in terms of them.
b What is the probability that this chosen item is defective?
c Given that the chosen item is defective, what's the probability that it came from factory A?
Transcribed Image Text:A certain item is manufactured by three factories, say A, B, and C. It is known that A turns out twice as many items as B, and that B and C turn out the same number of items during a specifed production period. It is also known that 2 % of the items produced by A and B are defective, while 4 % of those manufactured by C are defective. All the items produced are put into one stockpile, and then one item is chosen at random. a Define the corresponding events and write down the given probabilities in terms of them. b What is the probability that this chosen item is defective? c Given that the chosen item is defective, what's the probability that it came from factory A?
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