Find the indicated area under the standard normal curve. Between z = - 2.19 and z = 2.19 Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. The area between z = -2.19 and z= 2.19 under the standard normal curve is. (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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### Finding the Area Under the Standard Normal Curve

**Objective:**
Find the indicated area under the standard normal curve for the given z-values.

**Given Range:**
Between \( z = -2.19 \) and \( z = 2.19 \)

**Steps:**
1. **Accessing the Standard Normal Table:**
   - To find the respective areas associated with the z-values, refer to the standard normal table (also known as the Z-table).

   [Click here to view page 1 of the standard normal table.](#)
   
   [Click here to view page 2 of the standard normal table.](#)

2. **Calculation:**
   - Look up the values corresponding to \( z = -2.19 \) and \( z = 2.19 \) in the Z-table.
   - The Z-table provides the cumulative area from the left up to the z-value. For \( z = 2.19 \), it will give the cumulative area from the mean (\( z = 0 \)) to 2.19 standard deviations to the right. Similarly, you'll find the value for \( z = -2.19 \).

3. **Result:**
   - Determine the total area under the standard normal curve between \( z = -2.19 \) and \( z = 2.19 \).

**Final Calculations:**
The area between \( z = -2.19 \) and \( z = 2.19 \) under the standard normal curve is \( \Box \).

*(Round to four decimal places as needed.)*

**Note:**
For accurate results, ensure correct usage of the Z-table and round off the measurement to four decimal places as instructed.
Transcribed Image Text:### Finding the Area Under the Standard Normal Curve **Objective:** Find the indicated area under the standard normal curve for the given z-values. **Given Range:** Between \( z = -2.19 \) and \( z = 2.19 \) **Steps:** 1. **Accessing the Standard Normal Table:** - To find the respective areas associated with the z-values, refer to the standard normal table (also known as the Z-table). [Click here to view page 1 of the standard normal table.](#) [Click here to view page 2 of the standard normal table.](#) 2. **Calculation:** - Look up the values corresponding to \( z = -2.19 \) and \( z = 2.19 \) in the Z-table. - The Z-table provides the cumulative area from the left up to the z-value. For \( z = 2.19 \), it will give the cumulative area from the mean (\( z = 0 \)) to 2.19 standard deviations to the right. Similarly, you'll find the value for \( z = -2.19 \). 3. **Result:** - Determine the total area under the standard normal curve between \( z = -2.19 \) and \( z = 2.19 \). **Final Calculations:** The area between \( z = -2.19 \) and \( z = 2.19 \) under the standard normal curve is \( \Box \). *(Round to four decimal places as needed.)* **Note:** For accurate results, ensure correct usage of the Z-table and round off the measurement to four decimal places as instructed.
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