a social worker is involved in a study about family structure. She obtains information regarding the number of children per family for a certain community from the census data. Identify the random variable of interest, determine whether it is discrete or continuous, and list its possible values.

Please do not keep posting this question. I've already deleted two identical posts from you in the last few minutes.

The variable is number of children, which is discrete. (You can't have half of a child, pregnancy does not count.)

Values are 0 to ??

The random variable of interest in this study is the number of children per family in a certain community.

To determine whether it is discrete or continuous, we need to understand the nature of the variable. In this case, the number of children per family can only take on whole numbers, as it cannot be divided into smaller units (you can't have half a child). Therefore, the variable is discrete.

The possible values for the number of children per family can range from 0 (if a family has no children) to a positive whole number, depending on the maximum number of children in a family within the community. For example, if the maximum number of children observed in any family is 4, then the possible values would be 0, 1, 2, 3, or 4.