Find the z value that corresponds to the given area in the figure below. Use a graphing calculator and round the answer to four decimal places. 0 Z 0.2158 #12

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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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#12 Find z=
**Problem Description:**

Find the z-value that corresponds to the given area in the figure below. Use a graphing calculator and round the answer to four decimal places.

**Graph Explanation:**

The diagram displays a standard normal distribution curve, which is a symmetrical bell-shaped curve centered at zero (z = 0). 

- **Horizontal Axis (z):** Represents the z-scores of the distribution.
- **Vertical Line:** A vertical line is shown at the center (z = 0).
- **Shaded Area:** A portion of the left tail of the curve is shaded in blue, indicating the area of interest.
- **Area Value:** The shaded area corresponds to a value of 0.2158. This represents the probability or the proportion of data that falls to the left of a specific z-value.

The task is to find the z-value for which the area to the left under the standard normal curve is 0.2158.
Transcribed Image Text:**Problem Description:** Find the z-value that corresponds to the given area in the figure below. Use a graphing calculator and round the answer to four decimal places. **Graph Explanation:** The diagram displays a standard normal distribution curve, which is a symmetrical bell-shaped curve centered at zero (z = 0). - **Horizontal Axis (z):** Represents the z-scores of the distribution. - **Vertical Line:** A vertical line is shown at the center (z = 0). - **Shaded Area:** A portion of the left tail of the curve is shaded in blue, indicating the area of interest. - **Area Value:** The shaded area corresponds to a value of 0.2158. This represents the probability or the proportion of data that falls to the left of a specific z-value. The task is to find the z-value for which the area to the left under the standard normal curve is 0.2158.
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