Some employers use lies detector tests to screen job applicants. Lie detector tests are not completely

reliable. Suppose that in a lie detector test, 65% of lies are identified as lies and that 14% of true

statements are also identified as lies. A company gives its job applicants a polygraph test, asking "Did

you tell the truth on your job application?" Suppose that 93% of the job applicants tell the truth during

the polygraph test. What is the probability that a person who fails the test was actually telling the truth?