https://file.aiquickdraw.com/mathbot/file/173008876476508ks0is6.jpg

To find the percent of the total area under the standard normal curve between the z-scores of \( z = 0.75 \) and \( z = 1.6 \), we can use the values from the standard normal table you provided.

1. **Locate \( z = 0.75 \)**:
   - From the table, the area to the left of \( z = 0.75 \) is approximately **0.773**.

2. **Locate \( z = 1.6 \)**:
   - From the table, the area to the left of \( z = 1.6 \) is approximately **0.945**.

3. **Calculate the area between \( z = 0.75 \) and \( z = 1.6 \)**:
   - Subtract the area at \( z = 0.75 \) from the area at \( z = 1.6 \):
     \[
     0.945 - 0.773 = 0.172
     \]

So, the percent of the area under the curve between \( z = 0.75 \) and \( z = 1.6 \) is **17.2%**.

Would you like further details or have any questions?

### Related Questions
1. What is the area under the curve between \( z = 0.5 \) and \( z = 1.5 \)?
2. How do you find the area to the right of a specific z-score?
3. What does it mean if a z-score has an area of 0.5?
4. Can we find the area under the curve between negative and positive z-scores, such as between \( z = -1 \) and \( z = 1 \)?
5. How does the standard normal table relate to percentiles in statistics?

**Tip:** Always check if you are finding the area between two z-scores by subtracting the smaller area from the larger.

Find the percent of the total area under the standard normal curve between the z-scores of z = 0.75 and z = 1.6.

Learn how to find the percent of the total area under the standard normal curve between the z-scores 0.75 and 1.6 using a standard normal distribution table. This problem covers core statistical concepts and is suitable for high school students studying probability and statistics.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation