### Discrete Probability Distribution: Calculating Mean and Standard Deviation#### Problem Statement:Compute the mean and standard deviation of the random variable with the given discrete probability distribution.#### Distribution Table:| x | P(x) ||----|------|| -9 | 0.11 || -7 | 0.24 || 0 | 0.26 || 3 | 0.25 || 5 | 0.14 |#### Instructions:1. **Send data to Excel:** - Click the "Send data to Excel" button to export the given distribution table for further analysis.2. **Part 1 of 2: Calculate the Mean** - **Task:** Find the mean. Round the answer to three decimal places, if necessary. - **Formula for Mean (\(\mu\)):** \[ \mu = \sum [x \cdot P(x)] \] - Input your calculated mean in the provided box. - **Input Box:** - The mean is \(\boxed{\text{ }}\)3. **Part 2 of 2: Calculate the Standard Deviation** - **Task:** Find the standard deviation. Round the answer to three decimal places, if necessary. - **Formula for Variance (\(\sigma^2\)):** \[ \sigma^2 = \sum [(x - \mu)^2 \cdot P(x)] \] - **Standard Deviation (\(\sigma\)):** \[ \sigma = \sqrt{\sigma^2} \] - Input your calculated standard deviation in the provided box. - **Input Box:** - The standard deviation is \(\boxed{\text{ })\)By following these steps, you can systematically calculate the mean and standard deviation of the provided discrete probability distribution. Make sure to use the formulas correctly and input your final rounded answers in the specified boxes.

Given data is x P(x) -9 0.11 -7 0.24 0 0.26 3 0.25 5 0.14

Answered: Compute the mean and standard deviation…

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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