When two births are randomlyselected, the sample space for genders isbb, bg,gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in twobirths? Does the result suggest that a sample proportion is an unbiased estimator of a populationproportion? For the entirepopulation, assume the probability of having a boy is one half

12, the probability of having a girl is one half

12, and this is not affected by how many boys or girls have previously been born.

Determine the probabilities of each sample proportion.

Sample proportion of girls

Probability

nothing

0.5

0.75

0.25

nothing

1

0.75

0.5

nothing

(Type integers or simplifiedfractions.)