A university in your region estimates that graduating average of high school students who apply for admission to a particular university program can be described by a Normal model with a mean of 82% and a standard deviation of 5%.The staff in admissions open the applications at random looking for 10 applicants with averages above 85%.How many applications do you think the staff will need to open?
A)About 36 applications.
B)About 21 applications.
C)About 10 applications.
D)About 28 applications.
E)About 14 applications.

Question

Quizplus · Accepted Answer

To find the number of applications needed, we first calculate the probability of a student having an average above 85% using the normal distribution. The z-score for 85% is (85-82)/5 = 0.6. Using the standard normal distribution table, the probability of a score above 85% is approximately 0.2743. To find 10 such applicants, we need 10/0.2743 ≈ 36 applications.

A University in Your Region Estimates That Graduating Average of High