Find the mean and standard deviation of each of the following probability distributions: \[ \beg...

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Find the mean and standard deviation of each of the following probability distributions:
\[
\begin{array}{lllccc}
x_{i}: & -3 & -1 & 0 & 1 & 3 \\
p_{i}: & 0.05 & 0.45 & 0.20 & 0.25 & 0.05
\end{array}
\]
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