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The problem involves finding the area of the shaded region in a standard normal distribution (with a mean of 0 and standard deviation of 1). The graph shows a shaded region to the left of the z-score \( z = -0.94 \).

To find the area of this shaded region, we need to find the cumulative probability corresponding to a z-score of \( z = -0.94 \). This is typically done using the cumulative distribution function (CDF) of the standard normal distribution.

Using a z-table or a calculator, the area (probability) to the left of \( z = -0.94 \) is approximately:

\[
P(Z \leq -0.94) \approx 0.1736
\]

Thus, the area of the shaded region is approximately **0.1736**, which represents the probability that a standard normal variable is less than or equal to -0.94.

Would you like further details or have any questions?

Here are five related questions you might find useful:
1. How is the area under the normal curve related to probabilities?
2. What is the significance of the z-score in normal distribution problems?
3. How do you calculate z-scores for non-standard normal distributions?
4. How can the area to the right of a z-score be found?
5. How does changing the mean and standard deviation affect the normal curve?

**Tip:** When using z-tables, remember that most tables give the area to the left of the z-score, so for right-tail areas, you must subtract from 1.

Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. The shaded region corresponds to z = -0.94.

Learn how to calculate the area of the shaded region under a standard normal distribution curve for a z-score of -0.94. This problem explores key concepts in probability and statistics, including the cumulative distribution function (CDF) and properties of z-scores. Suitable for Grades 11-12 and college-level students.

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