1) No, Binomial has finite limits. Try Poisson with lambda = 5/3.
2) Good, except "Binomial" is an insufficient description. N = 10 and p = 0.50
3) Okay, but please specify the SPECIFIC distribution.
4) No. Negative binomial is not finite. This one MUST end at 7. It's not quite just Binomial, either. Why? Actually, it might be, but I think that's just because the problem statement is worded badly.