Thread: X~Exp(x,θ) prove or disprove that E[x^2]=2 (θ)^2

X~Exp(x,θ) prove or disprove that E[x^2]=2 (θ)^2.

I know the pdf and how to find E[x^2] but not sure how to show it equals (θ)^2.

Originally Posted by nikie1o2

X~Exp(x,θ) prove or disprove that E[x^2]=2 (θ)^2 NOOOO!!!! I think you were trying to write 2 (θ)^-2.

I know the pdf and how to find E[x^2] but not sure how to show it equals (θ)^2.

For an exponential distribution,



integrate by parts..

Ah Ha! well i was asked to prove or disprove this so i presume the claim is false then ! I'll have to do an counter example