3.4042.8Grade point average μ=3.40 σ=0.17 x

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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?
 
 
 
 
 
 
 
3.4042.8Grade point average
μ=3.40
σ=0.17
x
 
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A normal curve labeled mu = 3.40 and sigma = 0.17 is over a horizontal x-axis labeled Grade point average from 2.8 to 4 in increments of 0.3 and is centered on 3.40.
 
 
 
​(a) The minimum UGPA that would still place a student in the top 10​% of UGPAs is nothing.
​(Round to two decimal places as​ needed.)
​(b) The middle 50​% of UGPAs lies between nothing on the low end and nothing on the high end.
​(Round to two decimal places as​ needed.)
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A normal curve labeled mu = 3.40 and sigma = 0.17 is over a horizontal x-axis labeled Grade point average from 2.8 to 4 in increments of 0.3 and is centered on 3.40.

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