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MATLAB: An Introduction with Applications

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Title: Calculating Mean, Variance, and Standard Deviation of a Probability Distribution

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**Instructions:**

Use the given probability distribution to complete parts (a) and (b) below.

**Data Table:**

| Number of School-Related Extracurricular Activities per Student | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|-------------------------------------------------------------|------|-------|-------|-------|-------|-------|-------|-------|
| Probability | 0.059| 0.122 | 0.164 | 0.213 | 0.128 | 0.083 | 0.053 | |

**Tasks:**

(a) Find the mean, variance, and standard deviation of the probability distribution.

- **Mean:** The mean is 3.3 (Round to one decimal place as needed.)
- **Variance:** [Requires calculation] (Round to one decimal place as needed.)
- **Standard Deviation:** [Requires calculation] (Round to one decimal place as needed.)

**Note:** The mean has been calculated and provided, but the variance and standard deviation need to be calculated based on the probability distribution. For more precise results, ensure to use proper formulas for variance and standard deviation.

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