Question

The following figure is a probability density curve that represents the grade point averages (GPA) of the graduating seniors at a large university.

Area

=

0.65

Area

=

0.23

3.9

4.1

4.3

4.5

4.7

Part 1 of 2

Find the proportion of seniors whose GPA is between

4.3

and

4.5

.

The proportion of seniors whose GPA is between 4.3 and 4.5 is .

Part 2 of 2

What is the probability that a randomly chosen senior will have a GPA greater than

4.5

?

The probability that a randomly chosen senior will have a GPA greater than 4.5 is .

Answer 1

Area under the probability density curve is equal to 1

Area under

This can be deiscribed in the following image

Part 1 of 2

The proportion of seriors whose GPA is between 4.3 and 4.5 ; P

Part 2 of 2

Probability that a randomly choosen serior will have a GPA greater than 4.5