The gpa at the super university has a normal distribution with a mean 2.29 and standard deviation 1.29 to be an honors student at this university your GPA has to be in the top 20% what is the smallest gpa you need to have to be an honors student?
Accepted Solution
A:
The smallest GPA needed to fall in the top 20% is [tex]g[/tex], where
[tex]\mathbb P(G\ge g)=0.20[/tex]
where [tex]G[/tex] is a random variable denoting GPA scores. Transform [tex]G[/tex] to the standard normal random variable [tex]Z[/tex] using