A variable is normally distributed with mean 7 and standard deviation 2. a. Find the percentage of all possible values of the variable that lie between 6 and 11. b. Find the percentage of all possible values of the variable that are at least 2. c. Find the percentage of all possible values of the variable that are at most 4. Click here to view page 1 of the table of areas under the standard normal curve. Click here to view page 2 of the table of areas under the standard normal curve. ..... a. The percentage of all possible values of the variable that lie between 6 and 11 is %. (Round to two decimal places as needed.) b. The percentage of all possible values of the variable that are at least 2 is %. (Round to two decimal places as needed.) c. The percentage of all possible values of the variable that are at most 4 is %. (Round to two decimal places as needed.)
A variable is normally distributed with mean 7 and standard deviation 2. a. Find the percentage of all possible values of the variable that lie between 6 and 11. b. Find the percentage of all possible values of the variable that are at least 2. c. Find the percentage of all possible values of the variable that are at most 4. Click here to view page 1 of the table of areas under the standard normal curve. Click here to view page 2 of the table of areas under the standard normal curve. ..... a. The percentage of all possible values of the variable that lie between 6 and 11 is %. (Round to two decimal places as needed.) b. The percentage of all possible values of the variable that are at least 2 is %. (Round to two decimal places as needed.) c. The percentage of all possible values of the variable that are at most 4 is %. (Round to two decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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- [Page 2 of the table](#)
### Percentage Calculation
- **Part a:** The percentage of all possible values of the variable that lie between 6 and 11 is [ __ ]%.
- *(Round to two decimal places as needed.)*
- **Part b:** The percentage of all possible values of the variable that are at least 2 is [ __ ]%.
- *(Round to two decimal places as needed.)*
- **Part c:** The percentage of all possible values of the variable that are at most 4 is [ __ ]%.
- *(Round to two decimal places as needed.)*
### Note
Round all answers to two decimal places as required. Use the linked tables to assist with calculations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7c650ec-eaef-4ac1-b050-640694514c64%2F4e6d5d92-df46-49ff-9df5-019ce0d8a159%2F6q25b0e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Understanding Normal Distribution
A variable is normally distributed with a mean of 7 and a standard deviation of 2. Below are some tasks to help understand the distribution percentages:
### Tasks
1. **Determine the Percentage Between Two Values:**
- Find the percentage of all possible values of the variable that lie between 6 and 11.
2. **Determine the Percentage for Values Above a Point:**
- Find the percentage of all possible values of the variable that are at least 2.
3. **Determine the Percentage for Values Below a Point:**
- Find the percentage of all possible values of the variable that are at most 4.
### Resources
- For calculations, use the table of areas under the standard normal curve:
- [Page 1 of the table](#)
- [Page 2 of the table](#)
### Percentage Calculation
- **Part a:** The percentage of all possible values of the variable that lie between 6 and 11 is [ __ ]%.
- *(Round to two decimal places as needed.)*
- **Part b:** The percentage of all possible values of the variable that are at least 2 is [ __ ]%.
- *(Round to two decimal places as needed.)*
- **Part c:** The percentage of all possible values of the variable that are at most 4 is [ __ ]%.
- *(Round to two decimal places as needed.)*
### Note
Round all answers to two decimal places as required. Use the linked tables to assist with calculations.
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