What is the Fisher Information I(θ)I(\theta)I(θ) for a sample of size nnn from X∼Bernoulli(θ)X \sim \text{Bernoulli}(\theta)X∼Bernoulli(θ)?
nθ(1−θ)\frac{n}{\theta(1-\theta)}θ(1−θ)n
nθ2\frac{n}{\theta^2}θ2n
n1−θ2\frac{n}{1-\theta^2}1−θ2n
nθ(1−θ)n\theta(1-\theta)nθ(1−θ)