Let X be a random variable with the following probability distribution Value x of X P(X=x) 0. 0.40 0.05 2. 0.15 0.25 4. 0.15 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (x) = || (b) Find the variance Var(X) of X. Var (X) = ]

MATLAB: An Introduction with Applications
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Let \( X \) be a random variable with the following probability distribution:

\[
\begin{array}{|c|c|}
\hline
\text{Value } x \text{ of } X & P(X = x) \\
\hline
0 & 0.40 \\
1 & 0.05 \\
2 & 0.15 \\
3 & 0.25 \\
4 & 0.15 \\
\hline
\end{array}
\]

Complete the following. (If necessary, consult a list of formulas.)

(a) Find the expectation \( E(X) \) of \( X \).

\[
E(X) = \, [\, ]
\]

(b) Find the variance \( \text{Var}(X) \) of \( X \).

\[
\text{Var}(X) = \, [\, ]
\]
Transcribed Image Text:Let \( X \) be a random variable with the following probability distribution: \[ \begin{array}{|c|c|} \hline \text{Value } x \text{ of } X & P(X = x) \\ \hline 0 & 0.40 \\ 1 & 0.05 \\ 2 & 0.15 \\ 3 & 0.25 \\ 4 & 0.15 \\ \hline \end{array} \] Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation \( E(X) \) of \( X \). \[ E(X) = \, [\, ] \] (b) Find the variance \( \text{Var}(X) \) of \( X \). \[ \text{Var}(X) = \, [\, ] \]
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