Final answer:
2) No The event of selecting a customer from a retirement home and a teenager are not mutually exclusive, as a teenager could theoretically reside in a retirement home.
Step-by-step explanation:
The events of randomly selecting a customer that lives in a retirement home and randomly selecting a customer that is a teenager are not mutually exclusive. It is theoretically possible for a teenager to live in a retirement home, although it may be uncommon.
Mutually exclusive events are those that cannot happen at the same time. For example, being a teenager and being a senior citizen would be mutually exclusive because one person cannot be both at the same time. However, the location of residence, such as a retirement home,
does not inherently exclude the possibility of there being a teenager residing there due to various circumstances (e.g., living with a guardian).
Events are mutually exclusive when they cannot occur at the same time. In this case, randomly selecting a customer that lives in a retirement home and randomly selecting a customer that is a teenager can happen at the same time because there could be a customer who lives in a retirement home and is also a teenager.
Therefore, these events are not mutually exclusive.