Answer:
The probability distribution of gender is given by,
P(Gender = x) [tex]\simeq 0.5308[/tex] if x = Male
[tex]\simeq 0.4692[/tex] if x = female
= 0 otherwise .
Step-by-step 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) = [tex]\frac {379}{714}[/tex]
[tex]\simeq 0.5308[/tex] if x = Male
[tex]\simeq (1 - 0.5308)[/tex]
= 0.4692 if x = female
= 0 otherwise .