In fall 2014, 38% of applicants with a Math SAT of 700 or more were admitted by a certain university, while 12% with a Math SAT of less than 700 were

naivlingr 2020-11-20 Answered
In fall 2014, 38% of applicants with a Math SAT of 700 or more were admitted by a certain university, while 12% with a Math SAT of less than 700 were admitted. Further, 32% of all applicants had a Math SAT score of 700 or more. What percentage of admitted applicants had a Math SAT of 700 or more? (Round your answer to the nearest percentage point.)
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Expert Answer

Daphne Broadhurst
Answered 2020-11-21 Author has 109 answers
Step 1
Let
A - Percent math S A T score of less than 700 or more in all applicants.
B – Percent math SAT score of 700 or more than admitted applicants.
C – Percent math SAT score of less than 700 in admitted applicants.
Step 2
Formula used
P(BA)=P(AB)P(B)P(AC)P(C)+(P(AB)P(B))...(i)
Step 3
Given
P(AB)=32%=0.32
P(B)=38%=0.38
P(AC)=10.32=0.68
P(C)=12%=0.12
Step 4
Put these values in(i)
P(AB)=(0.32)(0.38)(0.68)(0.12)((0.32)(0.38))
=0.12160.0816+0.1216
=0.12160.20320.598425
Step 5
Percentage of admitted applicants had a Math SAT of 700 or more is 59.84%60%
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