. Given: N(57.9, 16.2). For each of the following problems: label the x axis and shade the Normal Curve appropriately. Find the z-score rounded to hundredth place. Use the table to find the area of the shaded region which is the probability. Don't change to a percentage.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**7. Given: N(57.9, 16.2). For each of the following problems: 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 is the probability. Don’t change to a percentage.**

**a. \(x\) is less than 36.8**
- **Diagram:** A normal curve is shown with shading to the left of \(x = 36.8\).
- **a. \(z = \) ________  prob = ________

**b. \(x\) is greater than 60.0**
- **Diagram:** A normal curve is shown with shading to the right of \(x = 60.0\).
- **b. \(z = \) ________  prob = ________

**c. Area (probability) is between \(x = 49.0\) and \(x = 65.0\)**
- **Diagram:** A normal curve is displayed with shading between \(x = 49.0\) and \(x = 65.0\).
- **c. \(z = \) ________  \(z = \)________  prob = ________
Transcribed Image Text:**7. Given: N(57.9, 16.2). For each of the following problems: 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 is the probability. Don’t change to a percentage.** **a. \(x\) is less than 36.8** - **Diagram:** A normal curve is shown with shading to the left of \(x = 36.8\). - **a. \(z = \) ________ prob = ________ **b. \(x\) is greater than 60.0** - **Diagram:** A normal curve is shown with shading to the right of \(x = 60.0\). - **b. \(z = \) ________ prob = ________ **c. Area (probability) is between \(x = 49.0\) and \(x = 65.0\)** - **Diagram:** A normal curve is displayed with shading between \(x = 49.0\) and \(x = 65.0\). - **c. \(z = \) ________ \(z = \)________ prob = ________
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