Lie detectors are controversial instruments, barred from use as evidence in many courts. Nonetheless, many employers use lie detector screening as part of their hiring process. There has been some research, but no agreement, about the reliability of polygraph tests. Based on this research, suppose that a polygraph can detect 67% of lies, but incorrectly identifies 16% of true statements as lies. A company believes that 95% of its job applicants are trustworthy. The company gives everyone a polygraph test, asking "Have you ever stolen anything from your place of work?" Naturally, all the applicants answer "No," but the polygraph identifies some of those answers as lies, making the person ineligible for a job.

Lie detectors are controversial instruments, barred from use as evidence in many as lies. A company believes that 95% of its job applicants are trustworthy. The comp a) Here is the outline of a probability tree for this situation. Fill in the probabilities