Question

Exercise 2

The scores on the entrance exam at an exclusive university in Bellevue are normally distributed with a mean score of 150 and a standard deviation equals to 40.

Sketch the distribution of the scores (you can draw it manually), find the probability and show your calculations, that a randomly selected applicant has a score:

a. Under 100 b. Under 50 c. Over 180

d. Between 110 and 200

e. Within 1.5 standard deviations of the mean

f. What is the score that 10% of the applicants have lower than it?

g. At what value should the lowest passing score be set if the university wishes only 25% of those taking the test to pass?

Answer 1