Question

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

	Number of girls x	​P(x)
	0	0.125
	1	0.375
	2	0.375
	3	0.125

Choose the correct answer below.

A. The random variable is​ x, which is the number of girls in three births. The possible values of x are​ 0, 1,​ 2, and 3. The values of the random value x are numerical.

B.The random variable is​ x, which is the number of girls in three births. The possible values of x are​ 0, 1,​ 2, and 3. The values of the random value x are not numerical.

C.The random variable is​ P(x), which is the probability of a number of girls in three births. The possible values of​ P(x) are 0.125 and 0.375. The values of the random value​ P(x) are not numerical.

D. The random variable is​ P(x), which is the probability of a number of girls in three births. The possible values of​ P(x) are 0.125 and 0.375. The values of the random value​ P(x) are numerical.

Answer 1

When a series of numerical values with their respective probability is given, then x is the random values since it is the values that can be taken but it is random because they have probability assigned to it. Here the values of x are numerical.

Option A is correct.