if E(X)=E(X^2)=1 where E(X) stands expectation of random variable X.

then find E(X^100)?

pls help?

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- Apr 11th 2009, 08:04 PMreflection_009expectation prob
if E(X)=E(X^2)=1 where E(X) stands expectation of random variable X.

then find E(X^100)?

pls help? - Apr 11th 2009, 08:15 PMmatheagle
The variance is 0, hence $\displaystyle P(X=1) =1 $.

So $\displaystyle E(X^{anything})=1 $.