Well I don't know how you think it goes. But stats say that a fat(Police officer) will be more likely to shot at you(Most times to kill) then a physically fit one.
And ^ just walking down stars with a gun in your hand will get this person scared and pulling the trigger on accident, Rather than stay level headed. And tell the man to but the gun down. There's also cases in which the Chubby one will taze/Pepper Spray/Shot the hostage because of subtle movement. (i.e. the don't taze me bro guy)