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Exam scores are a key measure for evaluating student performance. A national education board assesses student achievement by analyzing scores from a standardized test. In 2023, the scores of all students in a particular grade were normally distributed with a mean of 75 points and a standard deviation of 5 points.
Using this information, calculate the following probabilities or values for the students' scores:
The percentage of students with scores between 70 and 75 points.
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
\(\pourcent\)
The percentage of students with scores between 65 and 75 points.
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
\(\pourcent\)
The percentage of students with scores less than 80 points.
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
\(\pourcent\)
In 2024, if there were 600 students in this grade, estimate the number of students with scores between 70 and 85 points. (
calculatrice
!
e
\(\pi\)
(
)
%
AC
sin
cos
tan
7
8
9
/
\(\sin^{-1}\)
\(\cos^{-1}\)
\(\tan^{-1}\)
4
5
6
*
\(x^2\)
\(\sqrt{\phantom{2}}\)
x
y
1
2
3
-
ln
exp
log
0
.
=
+
and round to the nearest integer.)
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
students
For a normal distribution, the coverage probabilities are illustrated below:
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