Final answer:
The random variable x, representing the number of dependent children in a household, is a discrete random variable.
Step-by-step explanation:
The random variable x represents the number of dependent children in a household. In this case, the random variable x is discrete. This is because the number of dependent children can only take on specific whole number values, such as 0, 1, 2, 3, and so on. It cannot take on values between these whole numbers.