Museums and Hospital can also be “for Profit”. Generally I think in NY most hospitals are non-profit, but that is not the case for the US in general.
There are plenty of museums that are “for Profit” Ripleys Belive it or Not or Madame Toussut in Times square are “for profit”.
The difference between for profit and non-profit is what is done with the profit. A non-profit has to put the profit back in the business, the for profit is allowed to take the profit out of the business