2.3-1. Find the mean, variance, and index of skewness for the following discrete distributions: b. f(x) = 1/5, x = 1, 2, 3, 4, 5. e. f(x) = (1 + |x|)/5, x = -1, 0, 1.

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## Transcription for Educational Website

### Problem 2.3-1

**Objective:** Find the mean, variance, and index of skewness for the following discrete distributions:

#### b. 
\[ f(x) = \frac{1}{5}, \quad x = 1, 2, 3, 4, 5. \]

#### e. 
\[ f(x) = \frac{(1 + |x|)}{5}, \quad x = -1, 0, 1. \]

**Instructions:** For each distribution, calculate the mean, variance, and skewness index based on the given formulas and values of \( x \).
Transcribed Image Text:## Transcription for Educational Website ### Problem 2.3-1 **Objective:** Find the mean, variance, and index of skewness for the following discrete distributions: #### b. \[ f(x) = \frac{1}{5}, \quad x = 1, 2, 3, 4, 5. \] #### e. \[ f(x) = \frac{(1 + |x|)}{5}, \quad x = -1, 0, 1. \] **Instructions:** For each distribution, calculate the mean, variance, and skewness index based on the given formulas and values of \( x \).
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