The area between z = 0 and z = 2.55 is %3D %3D
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![### Finding the Area Under the Standard Normal Curve
**Objective**: Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.)
**Problem**:
Calculate the area between \( z = 0 \) and \( z = 2.55 \).
\[ \text{The area between } z = 0 \text{ and } z = 2.55 \text{ is } \_\_\_\_. \]
**Instructions**:
1. **Sketch the Standard Normal Curve**:
- Draw a standard normal curve (bell-shaped curve).
- Label the horizontal axis with z-scores.
- Mark \( z = 0 \) at the mean (center of the curve).
- Mark \( z = 2.55 \) on the right side of the mean.
2. **Shaded Area**:
- Shade the area under the curve between \( z = 0 \) and \( z = 2.55 \).
3. **Finding the Area**:
- Use standard normal distribution tables or software tools to find the cumulative area from \( z = 0 \) to \( z = 2.55 \).
4. **Round the Answer**:
- Round the computed area to four decimal places and fill in the blank.
**Steps to Calculate the Area**:
1. Look up the cumulative area from the z-table for \( z = 2.55 \).
2. The cumulative area to the left of \( z = 2.55 \) is typically found in the table.
3. Since the area under the curve from \( z = 0 \) to \( z = 2.55 \) is needed, subtract the cumulative area up to \( z = 0 \) (which is 0.5) from the cumulative area up to \( z = 2.55 \).
4. The resulting value is the area between \( z = 0 \) and \( z = 2.55 \).
This exercise will help in understanding how to use the standard normal distribution table and graphically represent areas under the curve for specified z-score intervals.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80d12b27-2476-49ce-98fb-3e23c71be9c7%2F6323e495-267f-4317-8a34-1252ec745ce3%2Fqc6npol.png&w=3840&q=75)
Transcribed Image Text:### Finding the Area Under the Standard Normal Curve
**Objective**: Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.)
**Problem**:
Calculate the area between \( z = 0 \) and \( z = 2.55 \).
\[ \text{The area between } z = 0 \text{ and } z = 2.55 \text{ is } \_\_\_\_. \]
**Instructions**:
1. **Sketch the Standard Normal Curve**:
- Draw a standard normal curve (bell-shaped curve).
- Label the horizontal axis with z-scores.
- Mark \( z = 0 \) at the mean (center of the curve).
- Mark \( z = 2.55 \) on the right side of the mean.
2. **Shaded Area**:
- Shade the area under the curve between \( z = 0 \) and \( z = 2.55 \).
3. **Finding the Area**:
- Use standard normal distribution tables or software tools to find the cumulative area from \( z = 0 \) to \( z = 2.55 \).
4. **Round the Answer**:
- Round the computed area to four decimal places and fill in the blank.
**Steps to Calculate the Area**:
1. Look up the cumulative area from the z-table for \( z = 2.55 \).
2. The cumulative area to the left of \( z = 2.55 \) is typically found in the table.
3. Since the area under the curve from \( z = 0 \) to \( z = 2.55 \) is needed, subtract the cumulative area up to \( z = 0 \) (which is 0.5) from the cumulative area up to \( z = 2.55 \).
4. The resulting value is the area between \( z = 0 \) and \( z = 2.55 \).
This exercise will help in understanding how to use the standard normal distribution table and graphically represent areas under the curve for specified z-score intervals.
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