SOLUTION: pplicants 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

Question 1118589: pplicants 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 91% of those who are eligible for admission pass the exam, whereas 14% 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 passed the exam but was actually ineligible?

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
===Pass--------Fail======Total
Eli 6370---------630-------7000
Not 420---------2580------3000
T==6790---------3210------10000
Probability passed is 6790/10000 or 0.679
Probability passed but was ineligible is 420/6790 or 0.0619
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