Checking the expected value of normal distribution: Are my equations correct?

hfz88

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Jul 25, 2017
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Hi. I need help regarding normal distribution.

I want to find the E(x) and Var(X) from 0 to infinity (neglect the negative value).
Is my Equation below correct?

E[x]= (Int_{0}^{\inf}xf(x)dx)/(1-F(0))
Var(x)=E(x2)/(1-F(0))-(E(x))2/(1-F(0))2

I divide the normal equation by 1-F(0). Is it correct?

Thank you in advance.
 
Well, 1 - F(0) is okay, but it's a little silly. If it's from a Normal Distribution, F(0) = 1/2.
 
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