They are hired by the agent

You can and absolutely should hire one yourself. Additionally, if you have a buyer's agent, don't make the mistake of using theirs either -- the buyer's agent has the same conflict of interest that the seller's does, despite the fact that in most cases they have a fiduciary responsibility to you, the buyer.

Another complication to be aware of: Inspectors can face "blackballing" by banks or realtors if they scuttle too many deals by finding bad things. If you find an independent inspector, don't balk at paying a little more -- they may need it to make up for business lost from being honest.