Is still good. Use that!
The only clue I see is that dock station. Those were troublesome for years so we stopped buying them. Some demanded them so we put it in writing they were unsupported.
But that's the clue. Try to keep it off the dock. And see if Dell issued a newer BIOS (that's where we found a few to get fixed.)
Dell Notebook Latitude E6500
In Service 5 weeks
3 occurrences in the last two weeks.
Notebook is off (not Standby, not Hibernate).
Place unit on Docking Station and press Power button.
Power LED lights then unit turns off - will not boot.
Undock notebook and press Power (no external power - unit is operating on battery).
Power LED lights, HD LED lights then both turn LED's turn off. Then CapsLock LED blinks 22 times.
Remove battery, then reinsert battery: same scenario as above.
Remove battery and remove memory, then reinsert memory and battery: notebook boots normally.
Is there a simple solution to this problem?
Yes, I can call IT and maybe get it resolved in two or three days. It may take much longer since it is an intermittent issue.