I guess it's like anything else - anybody can have a problem with anything depending on the unit.
That said, I only buy Dells (on a Latitude right now). So far this year, I've bought 5 Latitude laptops, 5 Inspiron laptops, and probably 60 desktops.
All of mine have a 3 year warranty - no matter what (including being dropped). So far, I've had three problems (and they were solved very quickly). Two involved them sending us replacement parts, and one involved an onsite visit (for the laptop that was dropped on a tile on concrete floor).
I love Dell equipment!