Let X∼Binomial(n,p)X \sim \text{Binomial}(n, p)X∼Binomial(n,p). What is the Fisher Information I(p)I(p)I(p) for a single observation?
np(1−p)\frac{n}{p(1-p)}p(1−p)n
1p(1−p)\frac{1}{p(1-p)}p(1−p)1
p1−p\frac{p}{1-p}1−pp
n2p(1−p)n^2 p(1-p)n2p(1−p)