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(11 points) Graduate School. Jaime is applying for graduate school at a local un

ID: 2946368 • Letter: #

Question

(11 points) Graduate School. Jaime is applying for graduate school at a local university. In the past, 42% of the applicants to this university have been accepted. It is also known that 68% of those students who have been accepted have had GMAT scores in excess of 550 while 38% of the students who were not accepted had GMAT scores in excess of 550, Use this information and a theoretical group of 10,000 applicants to construct a table for this admissions scenario. Round all answers and results to two decimal places. GMAT>550 GMAT S 550 Total Accepted Not Accepted Total 10000 a. What percentage of applicants to this university score over 550 on the GMAT? c. What percentage of applicants who do not score over 550 on the GMAT would we expect to be accepted to this university?

Explanation / Answer

completing abve table:

a)

P(GMAT>550)=5060/10000=0.5060

b)

P(acceted|GMAT>550)=2856/5060=0.5644

c)P(acceted|GMAT<550)=1344/4940=0.2721

GMAT>550 GMAT<550 total accepted 2856 1344 4200 not accepted 2204 3596 5800 total 5060 4940 10000