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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Let \( X \) be a random variable with the following probability distribution.

| Value \( x \) of \( X \) | \( P(X=x) \) |
|--------------------------|-------------|
| -10                      | 0.30        |
| 0                        | 0.40        |
| 10                       | 0.05        |
| 20                       | 0.25        |

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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Transcribed Image Text:Let \( X \) be a random variable with the following probability distribution. | Value \( x \) of \( X \) | \( P(X=x) \) | |--------------------------|-------------| | -10 | 0.30 | | 0 | 0.40 | | 10 | 0.05 | | 20 | 0.25 | 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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It is given that the random variable X with a probability distribution in the tabulation form.

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