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Chapter 10: Q. AP3.4 (page 701)

The distribution of grade point averages (GPAs) for a certain college is approximately Normal with a mean of 2.5 and a standard deviation of 0.6. The minimum possible GPA is 0.0 and the maximum possible GPA is 4.33. Any student with a GPA less than 1.0 is put on probation, while any student with a GPA of 3.5 or higher is on the dean’s list. About what percent of students at the college are on probation or on the dean’s list?

a.0.6b.4.7c.5.4d.94.6e.95.3

Short Answer

Expert verified

The correct option is:

c.5.4percent of students at the college are on probation or on the dean’s list

Step by step solution

01

 Step 1: Given information 

We have to tell percent of students at the college are on probation or on the dean’s list.

02

Explanation 

The college are on probabtion:

P(X≤1.0orX≥3.5)=P(Z<-2.50orZ>1.67)

=P(Z<-2.50)+1-P(Z<1.67)

=0.0062+1-0.9525

=5.4%

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