MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Exercise: 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 Statement:**
The area to the left of \( z = -1.34 \) is [________].

**Instructions:**
1. Identify the point \( z = -1.34 \) on the standard normal curve.
2. Sketch the standard normal curve, which is symmetric around the mean \( \mu = 0 \) with a standard deviation of \( \sigma = 1 \).
3. Shade the area under the curve to the left of \( z = -1.34 \).
4. Use the standard normal distribution table (Z-table) or a statistical software to find the area to the left of \( z = -1.34 \).
5. Round your answer to four decimal places and input it into the provided box.

**Example Solution:**
If \( z \) were given as \( -1.00 \), you would find the area to the left of this z-score is approximately 0.1587. You would follow the same steps as above to determine the area for \( z = -1.34 \).

[Input Box]

**Note:** The Z-table provides the cumulative probability from the left up to the given z-value.
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Transcribed Image Text:**Exercise: 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 Statement:** The area to the left of \( z = -1.34 \) is [________]. **Instructions:** 1. Identify the point \( z = -1.34 \) on the standard normal curve. 2. Sketch the standard normal curve, which is symmetric around the mean \( \mu = 0 \) with a standard deviation of \( \sigma = 1 \). 3. Shade the area under the curve to the left of \( z = -1.34 \). 4. Use the standard normal distribution table (Z-table) or a statistical software to find the area to the left of \( z = -1.34 \). 5. Round your answer to four decimal places and input it into the provided box. **Example Solution:** If \( z \) were given as \( -1.00 \), you would find the area to the left of this z-score is approximately 0.1587. You would follow the same steps as above to determine the area for \( z = -1.34 \). [Input Box] **Note:** The Z-table provides the cumulative probability from the left up to the given z-value.
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