For a Binomial distribution 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)?
np(1−p)\frac{n}{p(1-p)}p(1−p)n
np(1−p)np(1-p)np(1−p)
p(1−p)n\frac{p(1-p)}{n}np(1−p)
n/p2n/p^2n/p2