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Chapter 5: Q 2.3. (page 317)

The 28 students in Mr. Tabor’s AP Statistics class completed a brief survey. One of the questions asked whether each student was right- or left-handed. The two-way table summarizes the class data. Choose a student from the class at random. The events of interest are “female” and “right-handed.”

Short Answer

Expert verified

Yes, events are independent.

Step by step solution

01

Step 1. Given Information

The table is

02

Step 2. Concept Used

If the following criteria is met, two events are said to be independent:

P(AandB)=P(A)×P(B)

03

Step 3. Calculation

Here, P (Female and Right hand)= 1828=914

Females that are right-handed have the following odds:

P(Female)=21/28=3/4P(Righthanded)=24/28=6/7

Now, P (Female and Right hand) = P (Female) × P (Right hand)

914=34×67914=914

As a result, the above-mentioned criteria has been met. As a result, the occurrences can be said to be unrelated.

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