Applicants who wish to be admitted to a certain professional school in a large university are required to take a screening test that was devised by an educational testing service. From past results, the testing service has established that 80% of all applicants are eligible for admission and that 94% of those who are eligible for admission pass the exam, whereas 12% of those who are ineligible for admissions pass the exam. (Round your answers to three decimal places.) (a) What is the probability that an applicant for admission passed the exam?(b) What is the probability that an applicant for admission passed the exam but was actually ineligible?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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Applicants who wish to be admitted to a certain professional school in a large university are required to take a screening test that was devised by an educational testing service. From past results, the testing service has established that 80% of all applicants are eligible for admission and that 94% of those who are eligible for admission pass the exam, whereas 12% of those who are ineligible for admissions pass the exam. (Round your answers to three decimal places.)

(a) What is the probability that an applicant for admission passed the exam?


(b) What is the probability that an applicant for admission passed the exam but was actually ineligible?
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