MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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![The table below shows the probability distribution of the random variable \( X \).
| \( x \) | 1 | 2 | 3 |
|-----------|-----|-----|-----|
| \( P(X=x) \) | 0.3 | 0.4 | 0.3 |
**Tasks:**
**a.** Find the mean of the random variable.
\[ \mu = 2 \] (Round to two decimal places as needed.)
**b.** Obtain the standard deviation \(\sigma\) of the random variable.
\[ \sigma = \] (Round to two decimal places as needed.)
**Explanation:**
The table presents a probability distribution where \( X \) is a random variable that can take the values 1, 2, and 3, with corresponding probabilities of 0.3, 0.4, and 0.3, respectively. The mean and standard deviation are then to be calculated from this distribution.](https://content.bartleby.com/qna-images/question/9ea4eb91-e4d0-4d4c-8347-11896b39cc7b/ec111acf-71c8-4152-a4ad-e372d5975809/601xw6g_processed.jpeg)
Transcribed Image Text:The table below shows the probability distribution of the random variable \( X \).
| \( x \) | 1 | 2 | 3 |
|-----------|-----|-----|-----|
| \( P(X=x) \) | 0.3 | 0.4 | 0.3 |
**Tasks:**
**a.** Find the mean of the random variable.
\[ \mu = 2 \] (Round to two decimal places as needed.)
**b.** Obtain the standard deviation \(\sigma\) of the random variable.
\[ \sigma = \] (Round to two decimal places as needed.)
**Explanation:**
The table presents a probability distribution where \( X \) is a random variable that can take the values 1, 2, and 3, with corresponding probabilities of 0.3, 0.4, and 0.3, respectively. The mean and standard deviation are then to be calculated from this distribution.
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