Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. a. The area of the shaded region is(Round to four decimal places as needed.) The image displays a normal distribution curve, which is a bell-shaped graph that represents the distribution of a set of data. The curve peaks at the mean, and its shape indicates the spread and symmetry of the data.In this graph, the area under the curve to the left of 80 is shaded. This shaded region represents the probability of a value being less than 80. The shading emphasizes the portion of the data below this threshold, illustrating how it relates to the entire distribution. This is often referred to as the cumulative probability up to the specified point on the x-axis.The x-axis is labeled with the number 80, which is a specific data point on the distribution.

Answered: Find the area of the shaded region. The…

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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Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

a. The area of the shaded region is

(Round to four decimal places as needed.)

The image displays a normal distribution curve, which is a bell-shaped graph that represents the distribution of a set of data. The curve peaks at the mean, and its shape indicates the spread and symmetry of the data.

In this graph, the area under the curve to the left of 80 is shaded. This shaded region represents the probability of a value being less than 80. The shading emphasizes the portion of the data below this threshold, illustrating how it relates to the entire distribution. This is often referred to as the cumulative probability up to the specified point on the x-axis.

The x-axis is labeled with the number 80, which is a specific data point on the distribution.

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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