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Chapter 5: Q. T5.7 (page 357)

The partially complete table that follows shows the distribution of scores on the AP®

Statistics exam for a class of students.

Select a student from this class at random. If the student earned a score of 3 or higher

on the AP® Statistics exam, what is the probability that the student scored a 5?

a.0.150b.0.214c.0.300d.0.428e.0.700

Short Answer

Expert verified

The correct option is:

b.0.214is the probability that the student scored a5

Step by step solution

01

Given information

We have to find the is the probability that the student scored a5.

02

Explanation

Assuming that a single person cannot have more than one score, we may use the addition rule to solve for mutually exclusive events:

P(Score is at least3)=P(Score is3)+P(Score is4)+P(Score is5)

=0.70

P(Score is5∣Score is at least3)=P(Score is5and Score is at least3)P(Score is at least3)

=1570

≈0.214

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