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% 0.13 5 9 X 780 105.98 34-13% 34.13% 40 upper 90 lower: 60 μ=55 55 Score 70 13.59%. 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? (d) What is the probability of a student obtaining a score between 60 and 90? GC in put 0-13% therefore, approximately 106 Students rond be expected to obtain a -SCOLe between 70 85 in the group of 78 students. 100 0.13 +245 +13.59 = 16%- baa #us thus, the cut-off mark for a fanl is 40 :: the probability of a student obtaining is approximately a score between Go Rad 0.361 or $36.1%..
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% 0.13 5 9 X 780 105.98 34-13% 34.13% 40 upper 90 lower: 60 μ=55 55 Score 70 13.59%. 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? (d) What is the probability of a student obtaining a score between 60 and 90? GC in put 0-13% therefore, approximately 106 Students rond be expected to obtain a -SCOLe between 70 85 in the group of 78 students. 100 0.13 +245 +13.59 = 16%- baa #us thus, the cut-off mark for a fanl is 40 :: the probability of a student obtaining is approximately a score between Go Rad 0.361 or $36.1%..
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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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%
+13.54%/
25
0.1359 x 780
€109.98
345% 34.13%
49
upper: 90
lower: 60
μ=55
55
Score
13.397.
F106
70
2.15%.
Renm
(b) Find the number of students who would be expected to obtain a score between 70 and 85
85
(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 the students.
(d) What is the probability of a student obtaining a score between 60 and 90?
GC input
0.13%
100
0.13 +2.45 +13.59 = 16%.
soga Fusthus, the cut-off
mark for a fan is 40.
:: the probability of a student
obtaining
a score
between Go pad
is approximately 0.361 or $236-1%
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