https://file.aiquickdraw.com/mathbot/file/1726269141073kiwysivp.jpg

The question is asking about the shaded area under a continuous distribution curve. Based on the image, the shaded area appears to be between \( x = 6 \) and \( x = 7 \) on the horizontal axis.

To answer the question:
- The shaded area under the curve represents the probability that the variable \( x \) lies within a certain range. Specifically, since the shaded area is between 6 and 7, this corresponds to the probability \( P(6 < x < 7) \).

Thus, the correct answer is:

**\( P(6 < x < 7) \)**.

Would you like more details or have any other questions?

Here are 5 related questions that could help you further:

1. How is the area under a probability density function related to probability?
2. What are some common types of continuous distributions?
3. How do you calculate probabilities for continuous distributions?
4. How does the shape of the probability density function affect the probabilities?
5. What is the significance of intervals in probability distributions?

**Tip**: For continuous distributions, the probability of a single point (e.g., \( P(x = 6) \)) is always zero because probability is represented by the area under the curve over an interval.

For the continuous distribution below, what does the shaded area represent?

Learn how to interpret the shaded area in a continuous probability distribution, where the area under the curve between x = 6 and x = 7 represents the probability P(6 < x < 7). Suitable for college-level statistics courses.

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