What are my chances of getting into EE grad school?
I am an EE undergrad and will be starting my final year at UW(Washington) in a week. I have been thinking about applying to graduate school (MS) but don't want to waste my time studying for/taking the GRE and having to write applications if I really don't have a chance of getting into any. My overall GPA is 3.50 (I bombed my first quarter but have made deans list each quarter ever since) while my major GPA is 3.78. I have no research experience. I will be finishing up a 3 month summer internship in a week. There is one faculty member I could ask for a letter of recommendation and maybe my old physics prof. By the time I apply, I would have enough money saved up to pay for all of grad school ($40k-$50k) with no debt from my undergrad career. Does having money increase your chances of getting in?
I'm not very particular about which grad school I get into but I would at least like to get into a top 50 EE grad program. I would like to get accepted into UW, UCSD, UCSB, UCD, UCI, UCSC or UofArizona.
The main thing I'm worried about is not having any research experience. Should I bother applying? What schools would I have a realistic chance of getting into?