J Jeonsah New member Joined Feb 5, 2012 Messages 14 Feb 22, 2012 #1 I am having trouble with this expected value problem: if E[X] = 2 and E[X^2] = 8, calculate: a) E[(2+4X)^2] b) E[X^2 + (X+1)^2]. Do i take the integral of a) and b) and plug in 2/8? Thanks
I am having trouble with this expected value problem: if E[X] = 2 and E[X^2] = 8, calculate: a) E[(2+4X)^2] b) E[X^2 + (X+1)^2]. Do i take the integral of a) and b) and plug in 2/8? Thanks
pka Elite Member Joined Jan 29, 2005 Messages 11,978 Feb 23, 2012 #2 Jeonsah said: I am having trouble with this expected value problem: if E[X] = 2 and E[X^2] = 8, calculate: a) E[(2+4X)^2] b) E[X^2 + (X+1)^2]. Click to expand... For a) \(\displaystyle E(4+16X+16X^2)=E(4)+16E(X)+16E(X^2)\)
Jeonsah said: I am having trouble with this expected value problem: if E[X] = 2 and E[X^2] = 8, calculate: a) E[(2+4X)^2] b) E[X^2 + (X+1)^2]. Click to expand... For a) \(\displaystyle E(4+16X+16X^2)=E(4)+16E(X)+16E(X^2)\)
