In: Statistics and Probability
Ans. We have given the information for population mean , also the population standard deviation and the population is normally distributed. So now if a we randomly select a student with the score of then we need to find the percentage of population of students who has the score below .
The formula for to calculate the Z-score is:
So, the Z-score is calculated as
Now, we have to find the percentage of population below this Z-score-
In other words, the percentage of population below the student whose score is is 78.81%.
We also say that the student who score is fall above 78.81% of population.