If the area above X in a normal distribution is 0.13, what is the area below X?

In a normal distribution, the total area under the curve is always 1. If the area above \( X \) is 0.13, we can calculate the area below \( X \) by subtracting this from 1:

\[
\text{Area below } X = 1 - 0.13 = 0.87
\]

Thus, the area below \( X \) is 0.87.

Would you like further details on normal distributions or have any other questions?

Here are some related questions:
1. What is the probability density function of a normal distribution?
2. How do you find a z-score corresponding to a given area?
3. What are the properties of a standard normal distribution?
4. How does the empirical rule apply to normal distributions?
5. What is the significance of the cumulative distribution function (CDF) in normal distributions?

**Tip:** The area above and below a point in a normal distribution always sums to 1, making it easy to compute one if you know the other.

Learn how to calculate the area below a given point X in a normal distribution when the area above X is known. In this problem, the area above X is 0.13, so the area below X is found by subtracting from the total area of 1, giving 0.87. This example is ideal for students in Grades 10-12 studying normal distributions.

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