What is the Fisher Information I(θ)I(\theta)I(θ) for a single observation X∼Bernoulli(θ)X \sim \text{Bernoulli}(\theta)X∼Bernoulli(θ)?
1θ(1−θ)\frac{1}{\theta(1-\theta)}θ(1−θ)1
1θ2\frac{1}{\theta^2}θ21
11−θ\frac{1}{1-\theta}1−θ1
θ(1−θ)\theta(1-\theta)θ(1−θ)