Question 4 The exam scores for a group of 780 students at Maquarie Gardens High School (MGHS) are normally distributed, with a mean score of 55 and a standard deviation of 15. (a) Complete the scale on the normal distribution graph below. 10 215% 25 6 13.54% 0.1359 x 778 0 €185.98 upper 90 lower: 60 = √5 34-13% 34.13% 40 44= 55. 55 Score 70 -106 13.39% (b) Find the number of students who would be expected to obtain a score between 70 and 85 2.15%. 85 O (c) The bottom 16% of students will be given a fail. What is the cut-off mark for a fail? therefore, approximately 106 Students Nond be expected to obtain a SCOLe between 70 85 in the group of 78 e students. (d) What is the probability of a student obtaining a score between 60 and 90? GC in put 0.13 +215+13.59 = 16%. 0-13%. 100 aa #us thus, He cut-off mark for a fan is 40. :: the probability of a student obtaining a scole between 60 pad is approximately 0.361 or $236.11.
Question 4 The exam scores for a group of 780 students at Maquarie Gardens High School (MGHS) are normally distributed, with a mean score of 55 and a standard deviation of 15. (a) Complete the scale on the normal distribution graph below. 10 215% 25 6 13.54% 0.1359 x 778 0 €185.98 upper 90 lower: 60 = √5 34-13% 34.13% 40 44= 55. 55 Score 70 -106 13.39% (b) Find the number of students who would be expected to obtain a score between 70 and 85 2.15%. 85 O (c) The bottom 16% of students will be given a fail. What is the cut-off mark for a fail? therefore, approximately 106 Students Nond be expected to obtain a SCOLe between 70 85 in the group of 78 e students. (d) What is the probability of a student obtaining a score between 60 and 90? GC in put 0.13 +215+13.59 = 16%. 0-13%. 100 aa #us thus, He cut-off mark for a fan is 40. :: the probability of a student obtaining a scole between 60 pad is approximately 0.361 or $236.11.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
So question. D ON THE GRAPHICS CALCULATOR .

Transcribed Image Text:Question 4
The exam scores for a group of 780 students at Maquarie Gardens High School (MGHS) are normally
distributed, with a mean score of 55 and a standard deviation of 15.
(a) Complete the scale on the normal distribution graph below.
013%
10
215%
25
13.54%
0.1359 x 780
109.98
34-13% 34.13%
40
that
55
Score
70
F186
13.397
2.15%.
85
(b) Find the number of students who would be expected to obtain a score between 70 and 85
(c) The bottom 16% of students will be given a fail. What is the cut-off mark for a fail?
therefore, approximetery 106 Students
wond be expected to obtain a
SCOLe between 70 85 in the
group of the students.
0-13%
100
(d) What is the probability of a student obtaining a score between 60 and 90?
GC in put
upper 90
lower: 60
15
u=55
0.13 +215 +13.59
bad #us thus, the cut-off
mark for a faul is 40.
:: the probability of a student
obtaining
a score between 60 pad
is approximately 0.361 or $@36-11-
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 8 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman