Write down the explicit summation definitions of $\mathrm{E}(X^2)$, $\mathrm{E}(X + 2)$, \(\math

Question

Write down the explicit summation definitions of $\mathrm{E}(X^2)$, $\mathrm{E}(X + 2)$, $\mathrm{E}(|0.5X|)$.

Accepted Answer

$\mathrm E(X^2)=\sum_{x\in S}x^2\mathrm P(X=x)$. $\mathrm E(X+2)=\sum_{x\in S}(x+2)\mathrm P(X=x)$. $\mathrm E(|0.5X|)=\frac12\sum_{x\in S}|x|\mathrm P(X=x)$.

Computing expected value

Computing expected value

Solution:

Solution locked