It depends.
I find that being a
http://en.wikipedia.org/wiki/Renaissance_Lady
of knowing A LOT ABOUT A LOT gives me several advantages. If I don't have the background for a particular general task, people ask me what is my background and we don't get 5 second before they say, "WHOA! That's good enough! If there are any problems, we'll just give you the textbook and you'll be up on it in a week.".
I've been granted interviews, offered investigator jobs due to a lot, probably, academic background....but being ex military police helps, too.
But on the other hand, word of warning. Graduate school depends on your grades. If you can't maintain a 3.0, you are in serious trouble. My first pass at a masters degree, in computer science, I took an F and a couple of C's and could never make it up. My undergrad was electronics and while I thought the two would make a good mesh, it didn't work out that way. Of course, at the time, I wasn't a good student, not the one I am now, then either.
Good luck.