If the area to the left of x in a normal distribution is 0.123, what is the area to
the right of x?

In a normal distribution, the total area under the curve is always 1. The area to the right of a given value \( x \) is simply the complement of the area to the left of \( x \). 

Given that the area to the left of \( x \) is 0.123, the area to the right of \( x \) is:

\[
\text{Area to the right of } x = 1 - 0.123 = 0.877
\]

So, the area to the right of \( x \) is 0.877.

Would you like to explore further details or any additional questions about normal distributions?

Here are five related questions you might find interesting:
1. What is the significance of the cumulative distribution function (CDF) in normal distributions?
2. How do you find the z-score corresponding to a given area under the curve?
3. What are the properties of the standard normal distribution?
4. How do we calculate probabilities for ranges of values in a normal distribution?
5. What is the importance of the 68-95-99.7 rule in normal distributions?

**Tip:** The area under a normal distribution curve can also represent probabilities, making it useful for statistical inferences.

If the area to the left of x in a normal distribution is 0.123, what is the area to the right of x?

Learn how to calculate the area to the right of x in a normal distribution when the area to the left is given. This problem uses the complement rule in probability and is suitable for students in Grades 9-12. Example: If the area to the left of x is 0.123, the area to the right is 0.877.

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