And that would be if every police body were of equivalent jurisdiction, many of them overlap.
I can easily believe that a 911 call for a break-in in progress will take more than 15 minutes for a response. A whole lot of the USA is low-density areas with tight budgets. Heck, add to that high density areas with still tight budgets – I expect a 911 call in San Juan (pop. 420K city, 1.2M metro) to have a greater than 15 minute response time because they’d be so busy with other previous calls (and the traffic’s nuts)!
As to waiting vs. resisting, If I can’t determine a safe course of retreat and I have the means to exercise self-defense prudently and effectively before the police get there, I am under no moral obligation to keep myself or my family besieged until they do.
Regarding Warren v. DC – as I understand it that case (and others in NY and California) ruled that police forces and the governments that run them are not liable for a failure to provide adequate protection to every or any one individual in every or any particular situation i.e. you cannot sue the county/city/department for the police showing up late, or botching the response, so the criminal got you anyway (though individual officers or dispatchers may be fired if they fugged up badly enough). The police **will respond to a call about crime in progress, that is **their job duty, but they only have to do so as required by their SOP and dispatch instructions. You as an individual have no claim against any guarantee that they will make *your *call priority #1, show up on time with the right people and gear, and do whatever it takes to save you (unless you are someone who has been specifically placed under protection). It’s not, as seems to be getting misunderstood here, that they can just not show up or not place themselves at risk if they just don’t feel like it.