The human resources department of a company is considering using a screening test as part of the hiring process for new employees and is analyzing the results of a recent study. It was found that 60% of applicants score high on the test, but only 83% of those who score high on the test perform well on the job. Moreover, among those who did not score high on the test, 37.5% perform well on the job.
a. Draw a probability tree for this situation.
b. What percentage of applicants perform well on the job?
c. Of those who did not score high, what percentage did not perform well?
d. Given that an applicant performed well on the job, what is the probability that the applicant did not score high on the test?