If a random variable assumes non negative integral values and E(X) = mu, Var(X) = sigma^2, then what is the value of 2sumx=0^infty xP(X x)?

Q14Section I (Objective (Q1–Q80))14 of 80

Probability — an identity for tail-sum moments

If a random variable assumes non negative integral values and $E(X) = \mu$ , $\operatorname{Var}(X) = \sigma^{2}$ , then what is the value of $2\sum_{x=0}^{\infty} xP(X > x)$ ?

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