Question
Calculate the marginal distribution of dogs.
Animals vs. Gender
Dog
Cat
Total
Male
32
8
40
Female
11
28
39
Total
43
36
79
(1 point )
45.6%
54.4%
74.4%
80%
Animals vs. Gender
Dog
Cat
Total
Male
32
8
40
Female
11
28
39
Total
43
36
79
(1 point )
45.6%
54.4%
74.4%
80%
Answers
GPT-4o mini
To calculate the marginal distribution of dogs, we need to find the proportion of dogs to the total number of animals.
From the table, the total number of dogs is 43, and the total number of animals is 79.
To find the marginal distribution of dogs:
\[
\text{Marginal distribution of dogs} = \frac{\text{Number of dogs}}{\text{Total number of animals}} = \frac{43}{79}
\]
Calculating this:
\[
\frac{43}{79} \approx 0.544
\]
To convert this to a percentage:
\[
0.544 \times 100 \approx 54.4\%
\]
Thus, the marginal distribution of dogs is **54.4%**.
From the table, the total number of dogs is 43, and the total number of animals is 79.
To find the marginal distribution of dogs:
\[
\text{Marginal distribution of dogs} = \frac{\text{Number of dogs}}{\text{Total number of animals}} = \frac{43}{79}
\]
Calculating this:
\[
\frac{43}{79} \approx 0.544
\]
To convert this to a percentage:
\[
0.544 \times 100 \approx 54.4\%
\]
Thus, the marginal distribution of dogs is **54.4%**.