Please fill in the blanks in the table and answer the questions. (11 points) Gra

Question

Please fill in the blanks in the table and answer the questions.

(11 points) Graduate School. Jaime is applying for graduate school at a local university. In the past, 45% of the applicants to this university have been accepted. It is also known that 70% of those students who have been accepted have had GMAT scores in excess of 550 while 39% 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? b. What percentage of applicants who score over 550 on the GMAT would we expect to be accepted to this university? 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

a)
percentage = 5295/10000 = 52.95%

b)
percentage = 3150/10000 = 31.5%

c)
percentage = 1350/10000 = 13.5%

GMAT > 550 GMAT <= 550 Total Accepted 4500*0.7 4500-3150 0.45*10000 Not Accepted 0.39*5500 5500-2145 10000-4500 Total 5295 4705 10000

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