Answer: b. your roommate going on a diet
Explanation: Extrenality refers to the cost or benefit which affects an individual without consenting to the cause. In other words negative externalities are costs which affects an individual usually a third party without choosing to incur such cost. They may be as a result of a transaction or action between a producer or manufacturer and it's client. When such action or transaction indirectly affects a third party who isn't involved in the transaction, the such action or transaction is an externality. If the action involves the third party incurring a cost, then we have negative externality.
From the question above, one's roommate is not an example of negative externality as going on a diet is a personal decision and not a result of an action which has an indirect effect on him or her.