The irony of course is that (statistically speaking) you would be vastly lowering you and your family's chances of surviving the event.
The chance that the intruder is there to murder you is ridiculously minuscule. It's so small that the people that do indiscriminately enter homes to murder get special nicknames like "Zodiac Killer" and Hollywood makes films about them.
Worrying about this type of intruder is irrational. Pulling a gun turns what is almost certainly a routine burglary into a life and death situation.