Applicants who wish to be admitted to a certain professional school in a large university are required to take a screening test devised by an educational testing service. From past results, the testing service has established that 70% of all applicants are eligible for admission and that 89% of those who are eligible for admission pass the exam, whereas 10% of those who are ineligible for admission 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 who passed the exam was actually ineligible?

Applicants who wish to be admitted to a certain professional school in a large university are required to take a screening test devised by an educational testing service. From past results, the testing service has established that 70% of all applicants are eligible for admission and that 89% of those who are eligible for admission pass the exam, whereas 10% of those who are ineligible for admission 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 who passed the exam was actually ineligible?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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