The Transportation Safety Authority (TSA) has developed a new testto detect large amounts of liquid in luggage bags. Based on manytest runs, the TSA determines that if a bag does contain largeamounts of liquid, there is a probability of 0.95 the test willdetect it. If a bag does not contain large amounts of liquid, thereis a 0.07 probability the test will conclude that it does (a falsepositive). Suppose that in reality only 4 in 100 bags actuallycontain large amounts of liquid.

1.What is the probability a randomly selected bag will have apositive test? Give your answer to four decimal places.
2.Given a randomly selected bag has a positive test, what is theprobability it actually contains a large amount of liquid? Giveyour answer to four decimal places.
3. Given a randomly selected bag has a positive test, what is theprobability it does not contain a large amount of liquid? Give youranswer to four decimal places.