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 5% of UGPAs? (b) Between what two values does the middle 50% of the UGPAs lie?

3.2442.48Gradepointaverage =3.24 =0.17 x A normal curve labeled mu = 3.24 and sigma = 0.17 is over a horizontal x-axis labeled Grade point average from 2.48 to 4 in increments of 0.38 and is centered on 3.24.

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Part 1

(a) The minimum UGPA that would still place a student in the top

5%

of UGPAs is

enter your response here.

(Round to two decimal places as needed.)

Part 2

(b) The middle

50%

of UGPAs lies between

enter your response here

on the low end and

enter your response here

on the high end.