@NathanG - Well, it depends on where you work really, assuming you know that in advance. I work at a software company where most of the programmers have a Bachelor of Engineering degree in Electronic Engineering.
However, they have to develop software. The software is for protective relays that are used in the electrical utility industry. So the background in electronics helps them, and they have been able to make the transition into computer programming without necessarily having the computer science or computer engineering degree.