Question

The accompanying table lists probabilities for the corresponding numbers of girls in four births. What is the random variable, what are its possible values, and are its values numerical?

Number of Girls x	P(x)
0	0.063
1	0.250
2	0.375
3	0.250
4	0.063

Short answer

The random variable is x.

The possible values of variable x are 0,1,2,3, and 4.

The variable x is numerical.

Step-by-step solution

Given information

The probabilities for the number of girls in four births are provided.

Identify the random variable

A random variable is a variable thatcan take values in the form of numbers.

In the given scenario, the variable that representsthe total number of girls in the four birthsis a random variable, represented by variable x.

Thus, the random variable in the given scenario is x.

Provide the possible values of x

The possible values of x are the counts ofthe feasible number of girls.

From the provided table, the possible values that a random variable x (Number of girls) can take are0,1,2,3, and 4.

State if the values of x are numerical

The number of girls (x) can be counted and expressed numerically.

Therefore, the values of x are numerical.