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 top15%of UGPAs?(b) Between what two values does the middle50%of the UGPAs lie? 3.3042.6Grade point averageμ=3.30σ=0.16x A normal curve labeled mu = 3.30 and sigma = 0.16 is over a horizontal x-axis labeled Grade point average from 2.6 to 4 in increments of 0.35 and is centered on 3.30. (a) The minimum UGPA that would still place a student in the top15%of UGPAs is3.463.46.(Round to two decimal places as needed.)(b) The middle50%of UGPAs lies betweenenter your response hereon the low end andenter your response hereon the high end.(Round to two decimal places as needed.) **Educational Website Transcription:**---**Player Time Stamp:**11/28/21, 6:40 PM**Instructions:**Using the browser's print will lead to an undesirable print-out. Use the Print item from the "Question Help" menu to get a better print-out.**Graph Description:**The graph presented is a standard normal distribution curve representing grade point averages (GPA). The x-axis is labeled "Grade point average," with values ranging from 2.6 to 4.0. The peak of the curve is at a GPA of 3.30, denoted by the mean symbol \( \mu = 3.30 \). The standard deviation is indicated by \( \sigma = 0.16 \).The distribution is symmetrical, with the highest point at the mean, suggesting that most students have an average GPA around 3.30. The curve tails off symmetrically on both sides, approaching zero as it moves away from the mean, representing fewer students with GPAs significantly lower or higher than 3.30.**Action:**Press "OK" to proceed.**URL:**https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkId=614984450&questionId=17&flushed=false&cld=6713727&back=DoAssignment---

Answered: 11/28/21, 6:40 PM Player Using the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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

15%

of UGPAs?

(b) Between what two values does the middle

50%

of the UGPAs lie?

3.3042.6Grade point average

μ=3.30

σ=0.16

A normal curve labeled mu = 3.30 and sigma = 0.16 is over a horizontal x-axis labeled Grade point average from 2.6 to 4 in increments of 0.35 and is centered on 3.30.