For a Binomial distribution X∼Binomial(n,p)X \sim \text{Binomial}(n, p)X∼Binomial(n,p), what is the Fisher Information I(n,p)I(n, p)I(n,p) if nnn is known?
n/p(1−p)n/p(1-p)n/p(1−p)
np(1−p)np(1-p)np(1−p)
n2p(1−p)n^2 p(1-p)n2p(1−p)
n2/p(1−p)n^2/p(1-p)n2/p(1−p)