Answered: The undergraduate grade point averages…

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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Question

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?

3.2442.48Grade point average

μ=3.24

σ=0.17

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.

(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.)

Expert Solution

Step 1

Let;

X = Undergraduate grade point averages (UGPA) of students

$X ~ N o r m a l (μ = 3.24, σ = 0.17)$

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