(This problem is based on Winter and Carlton 2000, page 60.) A lie detector test is accurate 70% of the time, meaning that for 30% of the times a suspect is telling the truth, the test will conclude that the suspect is lying, and for 30% of the times a suspect is lying, the test will conclude that he or she is telling the truth. A police detective arrested a suspect who is one of only four possible perpetrators of a jewel theft. If the test result is positive (i.e., concludes that the subject is guilty), what is the probability that the arrested suspect is actually guilty? Answer all the other questions too. For notation, let "TG" denote the event "test concludes guilty"; "TN" the event " test concludes NG"; G the event "suspect is guilty and says not guilty (lying)",' N the event "subject not guilty and says not guilty." Assume that the suspect always will say "not guilty." If the test result is positive (i.e., concludes that the subject is guilty), what is the probability that the arrested suspect is actually guilty Choose... c P(TN| "suspect says not guilty and subject is guilty) Choose... c P(TG|"suspect says not guilty and subject is not guilty) Choose... : Probability that the subject is guilty Choose... : Please answer all parts of the