Question

Delaware University reported admission statistics for students who were admitted as freshmen for the fall semester. Of these students, the majority had taken the Scholastic Aptitude Test (SAT). Assume the SAT verbal scores were normally distributed with a mean of 530 and a standard deviation of 70.

1. What percentage of students were admitted with SAT verbal scores of 600 or more?
2. What percentage of students were admitted with SAT verbal scores between 500 and 600?
3. What percentage of students were admitted with SAT verbal scores of 480 or less?
4. What percentage of students were admitted with SAT verbal scores of 640 or less?

Answer 1

Consider, X= the SAT verbal scores

a)

=1-0.8413.......................by using normal probability table.

=0.1587

b)

P[500<X<600]

=P[-0.43<Z<1]

=0.8413-0.3336................by using normal probability table.

=0.5077

c)

=0.2389................by using normal probability table.

d)

=0.9418................by using normal probability table.