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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## Normal Distribution Problems ### Given: Mean (\(\mu\)) = 27.8 Standard deviation (\(\sigma\)) = 9.2 For each problem, label the x-axis and shade the Normal curve appropriately. Find the z-score rounded to the hundredth place. Use the table to find the area of the shaded region, which represents the probability. #### a. \(x\) is less than 30.4 - **z = ___________** - **Probability (prob) = ___________** **Diagram:** A normal distribution curve is shown with the left side shaded, indicating the area less than 30.4. #### b. \(x\) is greater than 24.0 - **z = ___________** - **Probability (prob) = ___________** **Diagram:** A normal distribution curve is shown with the right side shaded, indicating the area greater than 24.0. #### c. Area is between \(x = 20.0\) and \(x = 32.0\) - **z = ___________** - **Probability (prob) = ___________** **Diagram:** A normal distribution curve is shown with an area in the middle shaded, indicating the area between 20.0 and 32.0.
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Transcribed Image Text:## Normal Distribution Problems ### Given: Mean (\(\mu\)) = 27.8 Standard deviation (\(\sigma\)) = 9.2 For each problem, label the x-axis and shade the Normal curve appropriately. Find the z-score rounded to the hundredth place. Use the table to find the area of the shaded region, which represents the probability. #### a. \(x\) is less than 30.4 - **z = ___________** - **Probability (prob) = ___________** **Diagram:** A normal distribution curve is shown with the left side shaded, indicating the area less than 30.4. #### b. \(x\) is greater than 24.0 - **z = ___________** - **Probability (prob) = ___________** **Diagram:** A normal distribution curve is shown with the right side shaded, indicating the area greater than 24.0. #### c. Area is between \(x = 20.0\) and \(x = 32.0\) - **z = ___________** - **Probability (prob) = ___________** **Diagram:** A normal distribution curve is shown with an area in the middle shaded, indicating the area between 20.0 and 32.0.
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