Gunfire in large expensive hotels is pretty rare so a  quick response protocol is virtually non-existent in the hotel and resort industry. The security or hotel manager will verify the guards claims before making the decision to call the police. Standard Operating Procedure - Only the security manager, manager on duty, or higher can call for police support. This means that the manager had to take the elevator up to the 32nd floor, make contact with the guard and verify their claim, then radio or call to the hotel security dispatch, which would then contact the police. Easily 6 minutes could have passed before this step was accomplished.