I am a LEO, and you're right...response times vary wildly even for clear-cut emergency calls. If the cruiser isn't near your house, well...
It gets worse, btw, for automated alarms. If anyone out there in cyberspace thinks that having a burglar alarm on their house or even a 'panic alarm' that you can hit to summon police response makes you safer, sorry. Its not a case of cops not caring or not giving them the attention they deserve, its a case of too many people having them and just can't keep up. We put a higher priority on the 'panic alarms,' of course, but still...
If you get an alarm, get one with an audible signal. At least it will (probably) scare off the intruder. Because all an alarm does from a police response point of view is it gets us there faster to take the report.
Cheerio,
Mike
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"A human being should be able to change a diaper, plan an invasion, butcher a hog, conn a ship, design a building, write a sonnet, balance accounts, build a wall, set a bone, comfort the dying, take orders, give orders, cooperate, act alone, solve equations, analyze a new problem, pitch manure, program a computer, cook a tasty meal, fight efficiently, die gallantly. Specialization is for insects." -Robert Heinlein