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 0.97 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 1 in 100 bags actually contain large amounts of liquid. a. What is the probability a randomly selected bag will have a positive test?

the probability is 0.1087 (10.87%)

Step-by-step explanation:

defining the random variable T= the test is positive , then the probability that the test is positive given that a bag is chosen at random is

P(T)= probability of choosing a bag with large amounts of liquid * probability that the test is positive given that that the bag have excess liquid + probability of choosing a bag that does not have not large amounts of liquid * probability that the test is positive given that that the bag does not have not have excess liquid = 1/100 * 0.97 + 99/100 * 0.1 = 0.1087 (10.87%)

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation:

step-by-step explanation:

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