Question 6
6 pts
Solve the problem.
A researcher investigated whether a student's seat preference was related in any way to the gender of the student. The researcher divided a lecture room into three sections (Area 1-front, middle of the room, Area 2-front, sides of the classroom, and Area 3-back of the classroom, both middle and sides) and noted where each student sat on a particular day of the class. The researcher's summary table is provided below.
\begin{tabular}{l|ccc|c}
& Area 1 & Area 2 & Area 3 & Total \\
\hline Male & 17 & 5 & 11 & 33 \\
Female & 10 & 11 & 18 & 39 \\
\hline Total & 27 & 16 & 29 & 72
\end{tabular}
Given that a person sitting in Area 1-the front, middle portion of the class is randomly selected to answer a question, find the probability that the person selected is female.
Answer
The probability that a person selected from Area 1 is female is approximately \(\boxed{0.37}\).
Step 1 ：The problem is asking for the probability that a person selected from Area 1 is female. This is a conditional probability problem. We know that the person is from Area 1, so we only consider the people in Area 1.
Step 2 ：The total number of people in Area 1 is 27.
Step 3 ：The number of females in Area 1 is 10.
Step 4 ：So the probability that a person selected from Area 1 is female is the number of females in Area 1 divided by the total number of people in Area 1.
Step 5 ：The probability that a person selected from Area 1 is female is approximately \(\boxed{0.37}\).
