(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Fy(y) = 1/2 λ^3 y^2 e^(-λy)

Assume E(1/y) = λ/2

Find E(1/y^2) and prove Var(1/y) = λ^2 / 4

2. Relevant equations

E(y) = k/λ

Var (y) = k/ λ^2

3. The attempt at a solution

Hi guys,

From the equation given from gamma distribution, I understands clearly that to get Var(y) what I have to do is to square y. i.e. 1/y^2 = (λ/2)^2 = λ^2 / 4. Which is equivalent to E(1/y^2)

but I'm no clue on how to set up a proof to show this is correct. I needed help on this, as I have no idea at all on how to proof this.

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# Homework Help: Proofing Varience in Gamma Distribution

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