Question
What is the marginal distribution for people who prefer sports cars?
Sports Car SUV Truck Total
Female 4 78 137 219
Male 199 66 172 437
Total 203 144 309 656
1)33.4%
2)66.7%
3)22.0%
4)47.1%
5)30.9%
Sports Car SUV Truck Total
Female 4 78 137 219
Male 199 66 172 437
Total 203 144 309 656
1)33.4%
2)66.7%
3)22.0%
4)47.1%
5)30.9%
Answers
GPT-4o mini
To find the marginal distribution for people who prefer sports cars, we need to calculate the proportion of individuals who prefer sports cars out of the total number of individuals surveyed.
The total number of people who prefer sports cars is 203 (from the "Total" row under "Sports Car"), and the total number of people surveyed is 656 (from the bottom right corner of the table).
Now, we calculate the proportion of individuals who prefer sports cars:
\[
\text{Proportion of sports car preference} = \frac{\text{Number of people who prefer sports cars}}{\text{Total number of people}} = \frac{203}{656}
\]
Calculating this gives us:
\[
\frac{203}{656} \approx 0.3093
\]
To convert this to a percentage, we multiply by 100:
\[
0.3093 \times 100 \approx 30.93\%
\]
Thus, the marginal distribution for people who prefer sports cars is approximately 30.9%.
The correct answer is **5) 30.9%**.
The total number of people who prefer sports cars is 203 (from the "Total" row under "Sports Car"), and the total number of people surveyed is 656 (from the bottom right corner of the table).
Now, we calculate the proportion of individuals who prefer sports cars:
\[
\text{Proportion of sports car preference} = \frac{\text{Number of people who prefer sports cars}}{\text{Total number of people}} = \frac{203}{656}
\]
Calculating this gives us:
\[
\frac{203}{656} \approx 0.3093
\]
To convert this to a percentage, we multiply by 100:
\[
0.3093 \times 100 \approx 30.93\%
\]
Thus, the marginal distribution for people who prefer sports cars is approximately 30.9%.
The correct answer is **5) 30.9%**.