Answer to Question #87126 in Statistics and Probability for anand

Question

Let X₁,X₂,...Xₙ be a random sample from a distribution with density function
f(x,θ)= {(1/θ)e^(-x/θ), θ>0, if x>0}

and f(x,θ)= { 0, otherwise}
Show that X̅ = n⁻¹ ∑xᵢ is unbiased for θ.

Answer 1

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