Read this thread to see how to do the calculations: http://www.mathhelpforum.com/math-he...ion-proof.html
Now apply the definition of E(X) and do the calculation. Note that E(2X) = 2 E(X).
Im trying to formulate a couple of proofs that shows how E(x)=a/a+b and E(2x)=(a(a+1))/((a+b)(a+b+1) are derived for the beta distribution. I have no problem with the MGF of other functions, but this one is so complicated. I really dont know where to start, sorry
Read this thread to see how to do the calculations: http://www.mathhelpforum.com/math-he...ion-proof.html
Now apply the definition of E(X) and do the calculation. Note that E(2X) = 2 E(X).