For any normal distribution the total area under the curve is greater than 1.

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True
False

The statement is **False**. 

For any normal distribution, the total area under the curve is exactly **1**. This is because the area under the curve represents the total probability, and in probability, the total must sum to 1.

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Here are 5 related questions to expand on this concept:

1. What does the area under the curve of a normal distribution represent?
2. What is the significance of the mean in a normal distribution?
3. How does the standard deviation affect the shape of a normal distribution curve?
4. Can the area under the curve of a normal distribution be less than 1?
5. What is the empirical rule (68-95-99.7) in the context of a normal distribution?

**Tip:** The area under the normal distribution curve within one standard deviation of the mean is approximately 68% of the total area.

Explore the concept of normal distribution and the total area under the curve. Learn why the statement 'For any normal distribution the total area under the curve is greater than 1' is false, with a detailed explanation of probability theory and normal distribution principles.

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