PROOF 199

Prove.

The sample variance divides by n−1

On a probability space.

Definition D1

X₁, …, Xₙ are mutually independent and identically distributed: E(Xᵢ) = μ, Var(Xᵢ) = E[(Xᵢ − μ)²] = σ². Define the sample mean X̄ = (X₁ + ⋯ + Xₙ)/n.

Proof.

Related labs