Question

Refer to the table above. Determine the marginal distribution of Gender. In paragraph form, how you calculated the marginal distribution. Include your calculations in your explanation. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.

Answer 1

The probability distribution of gender is given by,

P(Gender = x)
`\simeq 0.5308` if x = Male

`\simeq 0.4692` if x = female

= 0 otherwise .

Explanation:

We know that, marginal probabilities are obtained by, dividing the marginal frequencies by the total frequency.

Hence, in this case, the marginal probability distribution of the gender is given by,

P(Gender = x) =
`\frac {379}{714}`

`\simeq 0.5308` if x = Male

`\simeq (1 - 0.5308)`

= 0.4692 if x = female

= 0 otherwise .