Children gender. a certain couple is equally likely to have either a boy child or a girl child. if the family has four children, let x denote the number of girls.

Aidentify the possible values of the random variable x.

Bdetermine the probability distribution of x. (hint: there are 16 possible equally-likely outcomes. one is gbbb, meaning the first born is a girl and the next three born are boys.

use random-variable notation to represent each of the following events. also use the special addition rule and the probability distribution obtained in part (b to determine each event’s probability. the couple has

Cexactly two girls.

Dat least two girls.

Eat most two girls.

f. between one and three girls, inclusive.

g. children all of the same gender.