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2. For a Normal Distribution where u = 3 and o = 3, where does approximately 95% of the scores fall between?

2. For a Normal Distribution where u = 3 and o = 3, where does approximately 95% of the scores fall between?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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2. For a Normal Distribution where u = 3 and o = 3, where does approximately 95% of the scores fall between?
Transcribed Image Text:2. For a Normal Distribution where u = 3 and o = 3, where does approximately 95% of the scores fall between?
Expert Solution
Step 1

Empirical rule : 

According to empirical rule , 

1)68% of data falls within the first standard deviation from the mean
In mathematical notation, this is represented as: μ ± 1σ 

2) 95% fall within two standard deviations
In mathematical notation, this is represented as: μ ± 2σ

3)99.7% fall within three standard deviations.
In mathematical notation, this is represented as: μ ± 3σ

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