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Derive Equation

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Given the attached equation, mathematically prove the second equation ...

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The solution mathematically proves the second equation

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Problem #1

Given:

Mathematically Prove that:

Where:

p(x) = P(X = x)
G(x) = P(X x) =

I will use "Sigma (from x=0 to a)" for the Summation from x=0 to x=a and,
"~" for Infinity.

B(R) = Sigma (from x=R to ~) [x*p(x)] ...

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