Statistics normal distribution

Question

The gpa at best university has a normal distribution with a mean of 2.46 and a standard deviation of 1.13. Approximately what percent of the best university students have their gpa below 1.54?

Answer 1

To find the percentage (probability) of students with a gpa less than 1.54, first find the z-score:

 

z = (1.54 - 2.46) / 1.13 = -0.814

 

The area beneath the standard normal distribution curve with this z-score is 0.2078.  So the percentage is around 20.8%.