electromagnetism - Conducting rod moving through magnetic field

If a conducting rod moves through a magnetic field which way do its electrons move?

In my revision guide it shows the following picture (more or less, but the following is my drawing of it -- I didn't change anything):

I'm having trouble understanding why the electrons accumulate on the end of the rod shown in the picture. Surely by Fleming's left hand rule the flow of positive charge will be in the direction of the green arrow here:

Which means that the electrons flow in the opposite direction to the green arrow, so the "plus" and "minus" signs in the rod are the wrong way round in this diagram. It should be like:

Or am I doing something wrong?

Thanks!