Schools often report their admissions requirements using middle 50% data. Amos Tuck (Dartmouth Business School) uses the following formula to calculate a combination of grade point average and GMAT. Admission Score = 200*GPA + GMAT Given that the population of Amos Tuck entering class for the past few year has been averaging the following 25th-percentile: 1250 75th-percentile: 1400 Using the above information and the assumption of a normal distribution, what is the probability of Mark, who has a GPA of 3.5 and a GMAT score of 690, being admitted; vs. Anna, who has a GPA of 3.0 and a GMAT score of 550, being admitted.

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Schools often report their admissions requirements using middle 50% data. Amos Tuck (Dartmouth
Business School) uses the following formula to calculate a combination of grade point average and
GMAT.
Admission Score = 200*GPA + GMAT
Given that the population of Amos Tuck entering class for the past few year has been averaging the
following
25th-percentile: 1250
75th-percentile: 1400
Using the above information and the assumption of a normal distribution, what is the probability of
Mark, who has a GPA of 3.5 and a GMAT score of 690, being admitted; vs. Anna, who has a GPA of 3.0
and a GMAT score of 550, being admitted.
Transcribed Image Text:Schools often report their admissions requirements using middle 50% data. Amos Tuck (Dartmouth Business School) uses the following formula to calculate a combination of grade point average and GMAT. Admission Score = 200*GPA + GMAT Given that the population of Amos Tuck entering class for the past few year has been averaging the following 25th-percentile: 1250 75th-percentile: 1400 Using the above information and the assumption of a normal distribution, what is the probability of Mark, who has a GPA of 3.5 and a GMAT score of 690, being admitted; vs. Anna, who has a GPA of 3.0 and a GMAT score of 550, being admitted.
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