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The Transportation Safety Authority (TSA) has developed a new test to detect large amounts of liquid...

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Statistics

The Transportation Safety Authority (TSA) has developed a newtest to detect large amounts of liquid in luggage bags. Based onmany test runs, the TSA determines that if a bag does contain largeamounts of liquid, there is a probability of 0.9 the test willdetect it. If a bag does not contain large amounts of liquid, thereis a 0.09 probability the test will conclude that it does (a falsepositive). Suppose that in reality only 1 in 100 bags actuallycontain large amounts of liquid.

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

b. Given a randomly selected bag has a positive test, what isthe probability it actually contains a large amount of liquid? Giveyour answer to four decimal places.

c. Given a randomly selected bag has a positive test, what isthe probability it does not contain a large amount of liquid? Giveyour answer to four decimal places.

Answer & Explanation Solved by verified expert
4.4 Ratings (928 Votes)
answergiven dataprobailityof genuine positve ie likelihood that it    See Answer
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