The area to the right of z= -0.54 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 Indicated Area Under the Standard Normal Curve**

To find the indicated area under the standard normal curve:

### Task:
- Find the area to the right of \( z = -0.54 \).

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

---

### Calculation:
- The area to the right of \( z = -0.54 \) under the standard normal curve is:
  (Round to four decimal places as needed.)

### Explanation:
In this exercise, you are required to find the area under the standard normal curve corresponding to \( z = -0.54 \). Typically, this involves using the standard normal table which provides cumulative probabilities for \( z \)-scores. The solution requires looking up the value in the table and computing or verifying the complementary area as needed.

This type of problem is common in statistics courses and is essential for understanding probabilities and distributions in various applications.
Transcribed Image Text:**Finding the Indicated Area Under the Standard Normal Curve** To find the indicated area under the standard normal curve: ### Task: - Find the area to the right of \( z = -0.54 \). ### Resources: - [Click here to view page 1 of the standard normal table.](#) - [Click here to view page 2 of the standard normal table.](#) --- ### Calculation: - The area to the right of \( z = -0.54 \) under the standard normal curve is: (Round to four decimal places as needed.) ### Explanation: In this exercise, you are required to find the area under the standard normal curve corresponding to \( z = -0.54 \). Typically, this involves using the standard normal table which provides cumulative probabilities for \( z \)-scores. The solution requires looking up the value in the table and computing or verifying the complementary area as needed. This type of problem is common in statistics courses and is essential for understanding probabilities and distributions in various applications.
## Finding the Indicated Probability Using the Standard Normal Distribution

To find the indicated probability using the standard normal distribution, we will follow the problem below:

**Problem:**
\[ P(z > 2.49) \]

### Instructions:
1. **Access the Standard Normal Table:**
   - [Click here to view page 1 of the standard normal table](url)
   - [Click here to view page 2 of the standard normal table](url)

2. **Determine the Probability:**
   Use the standard normal table to find the area to the right for a z-value of 2.49.

### Calculation:
1. Locate 2.4 in the leftmost column of the standard normal table.
2. Find the intersection of this row with the column representing 0.09.
3. The value at this intersection is the area to the left, denoted as \( P(z \leq 2.49) \).
4. Subtract this value from 1 to find \( P(z > 2.49) \).

### Note:
- Please round the final probability to four decimal places as needed.

**Solution Box:**
\[ P(z > 2.49) = \boxed{} \]

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

This resource is designed to assist students in understanding how to use the standard normal table for calculating probabilities and to aid in coursework and exam preparation.
Transcribed Image Text:## Finding the Indicated Probability Using the Standard Normal Distribution To find the indicated probability using the standard normal distribution, we will follow the problem below: **Problem:** \[ P(z > 2.49) \] ### Instructions: 1. **Access the Standard Normal Table:** - [Click here to view page 1 of the standard normal table](url) - [Click here to view page 2 of the standard normal table](url) 2. **Determine the Probability:** Use the standard normal table to find the area to the right for a z-value of 2.49. ### Calculation: 1. Locate 2.4 in the leftmost column of the standard normal table. 2. Find the intersection of this row with the column representing 0.09. 3. The value at this intersection is the area to the left, denoted as \( P(z \leq 2.49) \). 4. Subtract this value from 1 to find \( P(z > 2.49) \). ### Note: - Please round the final probability to four decimal places as needed. **Solution Box:** \[ P(z > 2.49) = \boxed{} \] *(Round to four decimal places as needed.)* This resource is designed to assist students in understanding how to use the standard normal table for calculating probabilities and to aid in coursework and exam preparation.
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