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Chapter 1: Q. T5.7 SPT (page 1)

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 3or higher on the AP Statistics exam, what is the probability that the student scored a 5?

a. 0.150

b. 0.214

c. 0.300

d. 0.428

e.0.700

Short Answer

Expert verified

The correct option is b.0.214.

Step by step solution

01

Step 1. Given information

The table is:

02

Step 2. Explanation for correct option

Consider, the missing value be x.

It is known that sum of a probability distribution is equal to 1.

Using this property, the missing value could be computed as:

0.1+0.2+x+0.25+0.15=1x=1-0.70x=0.30

Thus, the complete table is:

Using the above table, the probability that random selected student score a 5, if it is given that student earned a score of 3or higher can be computed as:

P(Scoreis5|Scoreis3ormore)=P(Scoreis5andScoreis3ormore)P(Scoreis3ormore)=P(Scoreis5)P(Scoreis3ormore)=0.150.30+0.25+0.15=0.214

The required probability is 0.214

Hence, the correct option is (b).

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