Question

Applicants who wish to be admitted to a certain professional skill at a large university are required to take a screening test that was devised by an educational testing service. From the past results, the testing service has estimated that 70% of all applicants are eligible for admission and that 92% of those who are eligible for admission pass the exam, whereas 12% of those who are ineligible for admission pass the exam. Using this information, find the probability that an applicant for admis- sion who passed the exam was actually eligible