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X1 95% H=3 o=3 X2

X1 95% H=3 o=3 X2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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What are X1 and X2 equal to?

This image depicts a normal distribution curve, commonly known as a bell curve. The curve is symmetric and centered at the mean (\(\mu\)) of the distribution, which is indicated as 3. The standard deviation (\(\sigma\)) is also given as 3. In this graph: - The shaded region under the curve represents 95% of the data within a certain range. - The horizontal axis includes two points, marked \(X_1\) and \(X_2\), which are the boundaries of this 95% confidence interval. - This shaded area illustrates that 95% of the data points fall within approximately two standard deviations from the mean in a normal distribution. This graph effectively shows how the normal distribution conveys probabilities, with the majority of data clustering around the mean.
Transcribed Image Text:This image depicts a normal distribution curve, commonly known as a bell curve. The curve is symmetric and centered at the mean (\(\mu\)) of the distribution, which is indicated as 3. The standard deviation (\(\sigma\)) is also given as 3. In this graph: - The shaded region under the curve represents 95% of the data within a certain range. - The horizontal axis includes two points, marked \(X_1\) and \(X_2\), which are the boundaries of this 95% confidence interval. - This shaded area illustrates that 95% of the data points fall within approximately two standard deviations from the mean in a normal distribution. This graph effectively shows how the normal distribution conveys probabilities, with the majority of data clustering around the mean.
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Given mu equals 3 comma space sigma equals 3

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