Amazon’s Prime Air drones were approved by the FAA, marking an important first step toward Amazon’s delivery getting very personal. So, are packages about to fly to your front door? And how can that be allowed? The FAA gets the final say: The FAA regulates everything from the drones you can buy online to inspection drones to delivery drones. The agency definitely wants delivery drones to happen, too: It has spent millions in grants for universities to research them.