The percentage of students at the college have a gpa below 2.4 is 15.87%.
Given,
The gpa's are normally distributed with given mean and SD.
mean [tex]\bar{x}[/tex]= 2.8
SD σ=0.4
raw score=2.4
The z score can be calculated by using the formula
z=[tex]\frac{x-\bar{x}}{\sigma}[/tex]
z=[tex]\frac{2.4-2.8}{0.4}[/tex]
[tex]z=\frac{-0.4}{0.4}[/tex]
z=-1
Using the z table we get the value P(z<-1), it is 0.8413, as it is less than we subtract it from 1 and we get 0.1587. As the value we got is negative, we used left tail z table to get the value of the z.
To get the percentage, we have to multiply by 100,
0.1587 x100
=15.87%
Therefore, the percentage of students at the college with gpa below 2.4 is 15.87%.
To know more about z table refer here:
https://brainly.com/question/29138590#
#SPJ4
