a) Find the expected value of X. p Find the yariance of X.

MATLAB: An Introduction with Applications
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1. A discrete random variable \( X \) has the following distribution:

\[
\begin{array}{c|c|c|c|c}
x & -2 & -1 & 1 & 2 \\ \hline
p(x) & \frac{1}{3} & \frac{1}{3} & \frac{1}{6} & \frac{1}{6} \\
\end{array}
\]

(a) Find the expected value of \( X \).

(b) Find the variance of \( X \).
Transcribed Image Text:1. A discrete random variable \( X \) has the following distribution: \[ \begin{array}{c|c|c|c|c} x & -2 & -1 & 1 & 2 \\ \hline p(x) & \frac{1}{3} & \frac{1}{3} & \frac{1}{6} & \frac{1}{6} \\ \end{array} \] (a) Find the expected value of \( X \). (b) Find the variance of \( X \).
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