Polygraph lie-detector machines are commonly used in criminal investigations. The device measures nervous excitement, operating on the idea ro points that if a person is telling the truth they will remain calm The American Polygraph Association claims that polygraphs accurately identify liars 90% of the time. In other words, if a person led the test results will be positive 90% of the time. Although the polygraph test is good at identifying liars, there is a 50% chance that the polygraph test will say a truthful person is lying. · A police force wants to predict the accuracy of lie-detector tests for 1,00o suspected criminals. Assume that 70o per 1,000 suspected criminals tell the truth during polygraph tests. Barber, N. (2013). Do Lie Detectors Work? Psychology Today. Retrieved from: https://www. psychologytoday. com/blog/the-human-beast/201303/do- lie-detectors-work Lie Truth Row Totals Test result: negative Test result: positive Column totalso P 1000 What is the probability that a person is telling the truth given that the lie detector test has a positive result?.a. 350 out of 700= 0.50 b. 350 out of 1,000 = 0.35 c. 350 out of 620 0.56 d. 350 out of380-0.92 D.