I need some help on this: E(X)=(1/(sigma(sqrt (2pi))) ∫(-infinity to infinity) xexp(-(x-m)^2/(2sigma^2)dx Show E(X)=m. I know to add and subtract m to the first x, but I don't know where to go from there. Thanks for any help.
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Originally Posted by taypez I need some help on this: E(X)=(1/(sigma(sqrt (2pi))) ∫(-infinity to infinity) xexp(-(x-m)^2/(2sigma^2)dx Show E(X)=m. I know to add and subtract m to the first x, but I don't know where to go from there. Thanks for any help. Make the substitution . After the appropriate substitutions and simplifying you should get: . The integral of the first bit is zero because is odd. So .
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