Coord bashed #1, misread #4 but provided a full rigorous solution with a right answer which the grading committee will consider confirmed by Evan Chen, did #5 with a unique method but assumed f(x) was a polynomial.

Expected distrib is 700?50

Edit: Got an 8. Distrib was 700010 (as of 4/29, didn't get score report back yet but it has to be this distrib).