Answer:
A) No, in the presence of a negative externality, since the monopolist produces less than the competitive quantity, it may end up producing the socially efficient quantity. However, in the case of a positive externality, since a competitive market produces too little, a monopolist will only exacerbate the problem.
Explanation:
Monopolists produce less than the competitive quantity (marginal revenue = marginal cost) but charge a higher price for their products. In case a negative externality is produced, then the competitive quantity should decrease and the monopolist might end up producing the socially efficient quantity.
Given the same scenario where the monopolist produces less than competitive quantity, but a positive externality is produced, then the socially efficient quantity should increase, but the monopolist will not increase their output.