Suppose that in reality only 2 in 100 bags actually contain

Reference no: EM13603501

The Transportation Safety Authority (TSA) has developed a new test to detect large amounts of liquid in luggage bags. Based on many test runs, the TSA determines that if a bag does contain large amounts of liquid, there is a probability of 0.96 the test will detect it. If a bag does not contain large amounts of liquid, there is a 0.1 probability the test will conclude that it does (a false positive). Suppose that in reality only 2 in 100 bags actually contain large amounts of liquid.

a.) What is the probability a randomly selected bag will have a positive test? Give your answer to four decimal places.

b.) Given a randomly selected bag has a positive test, what is the probability it actually contains a large amount of liquid? Give your answer to four decimal places.

c.) Given a randomly selected bag has a positive test, what is the probability it does not contain a large amount of liquid? Give your answer to four decimal places.

Reference no: EM13603501

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