The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure. (a) What is the minimum UGPA that would still place a student in the top 10% of UGPAS? (b) Between what two values does the middle 50% of the UGPAS lie? u+3.36 G-0.16 2.72 Grade point average 3.36
The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure. (a) What is the minimum UGPA that would still place a student in the top 10% of UGPAS? (b) Between what two values does the middle 50% of the UGPAS lie? u+3.36 G-0.16 2.72 Grade point average 3.36
A First Course in Probability (10th Edition)
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Transcribed Image Text:The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be
approximated by a normal distribution, as shown in the figure.
(a) What is the minimum UGPA that would still place a student in the top 10% of UGPAS?
(b) Between what two values does the middle 50% of the UGPAS lie?
H=3.36
o=0.16
2.72
3.36
Grade point average
.....
(a) The minimum UGPA that would still place a student in the top 10% of UGPAS is
(Round to two decimal places as needed.)
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Step 1
We have given
mean = 3.36
Standard deviation = 0.18
We have to calculate z score first to get UGPA.
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