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)45.6%
2)54.4%
3)74.4%
4)80%

Answer 1

To find the marginal distribution of dogs, we will use the total number of dogs in relation to the total number of animals.

From the table:

- Total number of dogs = 43
- Total number of animals = 79

Now, to calculate the marginal distribution of dogs, we use the formula:

\[
\text{Marginal Distribution of Dogs} = \frac{\text{Total Number of Dogs}}{\text{Total Number of Animals}} \times 100
\]

Substituting in the values:

\[
\text{Marginal Distribution of Dogs} = \frac{43}{79} \times 100
\]

Calculating this gives:

\[
\frac{43}{79} \approx 0.5443 \implies 0.5443 \times 100 \approx 54.43\%
\]

Rounding this to one decimal place gives us 54.4%.

Thus, the answer is:

**2) 54.4%**