1.Surely, exists!
2. Some sort of music has to be sent.
3. Hm.. From one side - some kind of research, from the other - most ot the time our processors are do nothing.
SETI@home and Astropulse are funded by grants from the National Science Foundation, NASA, and donations from SETI@home volunteers. AstroPulse is funded in part by the NSF through grant AST-0307956.