Answered: Random samples of a Gaussian…

Random samples of a Gaussian distribution will fall within two standard deviations of the mean with a probability which is approximately 68%. True or False

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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Question

Random samples of a Gaussian distribution will fall within two standard deviations of the mean with a probability which is approximately 68%.

True or False

Expert Solution

Step 1

Concept:

68% of the data is within 1 standard deviation (σ) of the mean (μ), 95% of the data is within 2 standard deviations (σ) of the mean (μ), and 99.7% of the data is within 3 standard deviations (σ) of the mean (μ).

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