"Infection will be found in police stations and hospitals within the first few hours, as well as other popular places. However, after the initial outbreak, they will wander away in search of food. There will be a few stragglers, no doubt, but might be a good place to find supplies. You can get the same stuff at surgical supply shops and pharmacies, but locations of these are problematic and most the time you won't have optional exits. Hospitals you have options and you'd have to locate the supply rooms. Some zombies might be trapped behind closed doors and certain floors might be overwhelmed due to hysteria. Yes, some ignorant infected people will go up instead of down. I think it's best to improvise or find it elsewhere, if you didn't secure it pre-outbreak. It's people like me that would need to venture into such unsafe places."