Chapter 1.1, Problem 1.1CYU

To determine

To use the data in the two-way table on page $12$ to calculate the marginal distribution of gender.

Answer to Problem 1.1CYU

Female: $49.047\%$

Male: $50.953\%$ .

Explanation of Solution

Thus, the data in the two-way table on page $12$ is given as:

		Gender
Opinions	Female	Male	Total
Almost no chance	96	98	194
Some chance but probably not	426	286	712
A 50-50 chance	696	720	1416
A good chance	663	758	1421
Almost certain	486	597	1083
Total	2367	2459	4826

Thus, the marginal distribution of the gender is calculated as:

For female we have,

  $\begin{array}{l}\text{Female}=\frac{2367}{4826}\\ =0.49047\\ =49.047\%\end{array}$

For male we have,

  $\begin{array}{l}\text{Male}=\frac{2459}{4826}\\ =0.50953\\ =50.953\%\end{array}$