If I remember correctly, I saw a statement from the US DOJ that the average violent crime lasted about 20 seconds and the average police responce time was 7 minutes.
That sounds about right.
Most violent crime is very fast. A robbery where the perp either tries to grab something like cash, valuable items, a purse etc Or they demand such things be given to them, take them and run.
Some of those times involve a stabbing or a shooting, but still take close to the same amount of time from start to finish.
Placing a 911 call requires you to be in a safe position for 10-20 seconds to make the call, get through and report the incident. Grabbing a firearm or unholstering one takes anywhere from a split second to a couple seconds.
Once the 911 call is made it requires a good 3 minutes minimum in places near a station and 15-20 minutes in some rural locations (even 45min-1 hour in some.)
In the wilderness or remote locations a signal can not even exist, and police may not actualy figure out or be able to reach where the call came from if it does get through for hours or days.
5-10 minutes would be a good average. Several minutes after most crimes are over, and they can try to pick up a trail and bring them to justice, after the fact.
Of course that requires the person to make the call to begin with. If someone only has a few seconds, that much time would be better spent actualy stopping the crime by retrieving a firearm than insuring someone arrives soon to get a victim/witness statement if you are still alive.
Obviously doing both is even better if you have time for both.
Retrieve firearm, then call 911 if there is still time.
You are responsible for you. You have nobody else you can rely on to protect you or family besides yourself. Police protect society not individuals.
If you are unable to protect yourself or family you have nobody else to blame except yourself, or those who imposed laws that prevented you from doing so.
Another thing to consider, even once they arrive they are not going to break into your home or location prior to assessing the situation and having backup. Nor would we want them to break into our homes and possibly kill us thinking they are defendin the good guy.
So the response time is not the same as the amount of time before they will actualy assist you if you are being victimized.