### Understanding Normal Distribution and Standard Normal Density CurvesBelow is a graph of a normal distribution with a mean (\(\mu\)) of \(-5\) and a standard deviation (\(\sigma\)) of 4. The shaded region represents the probability of obtaining a value from this distribution that is between \(-1\) and 1.![Normal Distribution](normal_distribution_graph.jpg)#### Explanation of the Graph:- *Mean (\(\mu\))*: -5- *Standard Deviation (\(\sigma\))*: 4- *Shaded Region*: Represents the probability of a value falling between -1 and 1.On this graph, the x-axis shows the possible values of the normally distributed random variable, and the y-axis shows the corresponding probability densities. The curve demonstrates the bell shape characteristic of normal distributions, peaking at the mean of -5.### Graphical Representation of the Corresponding Standard Normal Density CurveNext, we transition to the standard normal density curve by standardizing the normal distribution shown above.![Standard Normal Distribution](standard_normal_distribution_graph.jpg)#### Explanation of the Graph:This graph represents the standard normal distribution, where the mean is 0 and the standard deviation is 1. The shaded area corresponds to the same probability region as the initial graph but transformed to the standard scale.**Key Points on the Standard Normal Density Graph:**- The peak of the curve is at 0.- The x-axis now shows z-scores, which are standardized values.- The y-axis shows probability densities for the standard normal distribution.In summary, these graphs help elucidate the concept of normal distributions and the transformation to standard normal distributions, showcasing how probabilities can be visualized and calculated within these statistical frameworks.### Additional Resources:- [Khan Academy: Normal Distribution](https://www.khanacademy.org/math/statistics-probability)- [Wolfram MathWorld: Normal Distribution](http://mathworld.wolfram.com/NormalDistribution.html)For further understanding, explore these resources to deepen your knowledge of how normal distributions are used in statistics!

Answered: Image /qna-images/answer/580e3c71-bf3d-4ea8-bffa-d573043b7c78.jpg

ow is a graph of a normal distribution with mean u =-5 and standard deviation o =4. The shaded region represents the probability of o m this distribution that is between -1 and 1. 0.4- 0.3- 02- 0.1- - hade the corresponding region under the standard normal density curve below.

ow is a graph of a normal distribution with mean u =-5 and standard deviation o =4. The shaded region represents the probability of o m this distribution that is between -1 and 1. 0.4- 0.3- 02- 0.1- - hade the corresponding region under the standard normal density curve below.

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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