Final answer:
The events of selecting a customer from a retirement home and selecting a teenager are mutually exclusive, as someone cannot be both at the same time.
Step-by-step explanation:
The question is asking whether the events of randomly selecting a customer that lives in a retirement home and randomly selecting a customer that is a teenager are mutually exclusive.
Mutually exclusive events are those that cannot happen at the same time. In this context, a person cannot be both a resident of a retirement home and a teenager, as these two categories do not overlap.
Therefore, the events are mutually exclusive.