Street noise sucks, but is livable. The problem with this music is the bass. No amount of white noise or earplugs drowns out the vibrations.
Funny enough, one of the big reasons we took this apartment was because it was quiet. Landlord had just redone the place, put in nice double pane windows. We checked out the upstairs and (original) downstairs neighbors, and it seemed like everyone was great; totally normal people who get up and go to work every morning and so aren't out until all hours of the night. The apartment below us sat empty for a few months when the last tenant moved out, so I'm guessing the landlord may have lowered his standards a bit to get someone in the unit.