Final answer:
X is considered binomially distributed because there are a fixed number of trials, which is 30.
Step-by-step explanation:
We can consider X to be Binomially distributed because there are a fixed number of trials, n=30. In this case, the fixed number of trials is the number of homes selected, which is 30. The outcome of each trial (home) can be either owned by the current resident or not owned by the current resident, which can be considered as a success or failure.