The following data is a random sample from a binomial distribution with pa-

rameters n and p:

[12 10 15 13 8 15 7 12 12 8 14 5 9 11 12].

1. If n = 60, estimate p through maximum likelihood and the method of moments.

2. If p = 0.2, estimate n through maximum likelihood and the method of moments.

3. Estimate both n and p through maximum likelihood and the method of moments.