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Determine the area under the standard normal curve that lies between (a) Z= -0.39 and Z=0.39, (b) Z= -2.04 and Z=0, and (c) Z=-1.18 and Z= 0.07. (a) The area that lies between Z= -0.39 and Z=0.39 is 0.3034. (Round to four decimal places as needed.) (b) The area that lies between Z= -2.04 and Z=0 is 0.4793 (Round to four decimal places as needed.) (c) The area that lies between Z= -1.18 and Z=0.07 is (Round to four decimal places as needed.)

Determine the area under the standard normal curve that lies between (a) Z= -0.39 and Z=0.39, (b) Z= -2.04 and Z=0, and (c) Z=-1.18 and Z= 0.07. (a) The area that lies between Z= -0.39 and Z=0.39 is 0.3034. (Round to four decimal places as needed.) (b) The area that lies between Z= -2.04 and Z=0 is 0.4793 (Round to four decimal places as needed.) (c) The area that lies between Z= -1.18 and Z=0.07 is (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
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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### Determining the Area Under the Standard Normal Curve To determine the area under the standard normal curve for specific Z-values, we can use the Z-table or statistical software. Below are calculations for different intervals: 1. **The area between \( Z = -0.39 \) and \( Z = 0.39 \)** - **Calculation:** - The area under the standard normal curve that lies between \( Z = -0.39 \) and \( Z = 0.39 \) is \( 0.3034 \). - **Instruction:** - Round to four decimal places as needed. 2. **The area between \( Z = -2.04 \) and \( Z = 0 \)** - **Calculation:** - The area under the standard normal curve that lies between \( Z = -2.04 \) and \( Z = 0 \) is \( 0.4793 \). - **Instruction:** - Round to four decimal places as needed. 3. **The area between \( Z = -1.18 \) and \( Z = 0.07 \)** - **Calculation:** - [The area under the standard normal curve for this interval needs to be determined using the Z-table or statistical software and entered here.] When working with the standard normal distribution, remember to round your answers to four decimal places unless instructed otherwise. --- #### Explanation of Graphs or Diagrams: There are no specific graphs or diagrams provided in this instruction. However, if you are visualizing these areas: - **Standard normal distribution curve** represents a bell-shaped curve centered at \( Z = 0 \) with a mean of 0 and a standard deviation of 1. - **Graphical representation of area** between two Z-values can be shaded in the Z-distribution curve. By understanding these areas, you can determine the probabilities corresponding to different ranges of Z-values in a standard normal distribution.
Transcribed Image Text:### Determining the Area Under the Standard Normal Curve To determine the area under the standard normal curve for specific Z-values, we can use the Z-table or statistical software. Below are calculations for different intervals: 1. **The area between \( Z = -0.39 \) and \( Z = 0.39 \)** - **Calculation:** - The area under the standard normal curve that lies between \( Z = -0.39 \) and \( Z = 0.39 \) is \( 0.3034 \). - **Instruction:** - Round to four decimal places as needed. 2. **The area between \( Z = -2.04 \) and \( Z = 0 \)** - **Calculation:** - The area under the standard normal curve that lies between \( Z = -2.04 \) and \( Z = 0 \) is \( 0.4793 \). - **Instruction:** - Round to four decimal places as needed. 3. **The area between \( Z = -1.18 \) and \( Z = 0.07 \)** - **Calculation:** - [The area under the standard normal curve for this interval needs to be determined using the Z-table or statistical software and entered here.] When working with the standard normal distribution, remember to round your answers to four decimal places unless instructed otherwise. --- #### Explanation of Graphs or Diagrams: There are no specific graphs or diagrams provided in this instruction. However, if you are visualizing these areas: - **Standard normal distribution curve** represents a bell-shaped curve centered at \( Z = 0 \) with a mean of 0 and a standard deviation of 1. - **Graphical representation of area** between two Z-values can be shaded in the Z-distribution curve. By understanding these areas, you can determine the probabilities corresponding to different ranges of Z-values in a standard normal distribution.
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