Answered: 1. Please explain the Empirical Rule.…

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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1. Please explain the Empirical Rule. Why we cannot use Chebyshev's Theorem in Normal Distributions? What is the application of the Chebyshev's Theorem? 2. Please explain the differences between a Normal Distribution and Standard Normal Distribution? Provide some numerical examples to support your answers! 3. Please, explain the differences between unusual and usual cases in Statistics? Provide their correlation with the deviations in the Empirical Rule? 4. Explain the Z-score formula and how it connects with the Standard Normal Distributions?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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