MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
Let \( X \) be a random variable with the following probability distribution. \[ \begin{array}{|c|c|} \hline \text{Value } x \text{ of } X & P(X = x) \\ \hline 0 & 0.55 \\ 1 & 0.30 \\ 2 & 0.05 \\ 3 & 0.10 \\ \hline \end{array} \] Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation \( E(X) \) of \( X \). \[ E(X) = \Box \] (b) Find the variance \( \text{Var}(X) \) of \( X \). \[ \text{Var}(X) = \Box \]
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Transcribed Image Text:Let \( X \) be a random variable with the following probability distribution. \[ \begin{array}{|c|c|} \hline \text{Value } x \text{ of } X & P(X = x) \\ \hline 0 & 0.55 \\ 1 & 0.30 \\ 2 & 0.05 \\ 3 & 0.10 \\ \hline \end{array} \] Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation \( E(X) \) of \( X \). \[ E(X) = \Box \] (b) Find the variance \( \text{Var}(X) \) of \( X \). \[ \text{Var}(X) = \Box \]
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