Actually, many states don't even license the inspectors - so if you don't get one that belongs to a professional organization that sets standards for performance, you pay your quarter and you take your chance.
Your first call should be to the realtor who helped you buy the house. Find out from that person where you stand with the inspector. You should also think of how you found the inspector...does that give you a path for going back on someone for a substandard report?
Where states license the inspector, you should get a complete inspection. I don't mean one that has representative samples!
You don't say where you are from so I can't tell you what, if any, regulations exist in your area for inspectors. Without that, any more is a guess.