Find the approximate area of the shaded region . The graph depicts the standard normal deviation Z~N(0,1)
Find the approximate area of the shaded region . The graph depicts the standard normal deviation Z~N(0,1)
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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Find the approximate area of the shaded region . The graph depicts the standard normal deviation Z~N(0,1)

Transcribed Image Text:**Question 7: Find the approximate area of the shaded region in the standard normal distribution curve.**
The graph shown is a standard normal distribution curve, also known as a bell curve. The x-axis is labeled with z-values, ranging from -3.39 to 3.39. The shaded region under the curve is between z = -1.13 and z = 1.13.
### Explanation:
- **Normal Distribution**: The graph represents the probability distribution of a continuous random variable that is symmetrically distributed about the mean. The peak of the curve corresponds to the mean value.
- **Z-values**: These indicate the number of standard deviations a particular point is from the mean in a standard normal distribution.
- **Shaded Region**: This part of the graph corresponds to the area under the curve from z = -1.13 to z = 1.13, representing the probability that a standard normal variable falls within this range.
Finding the area of this shaded region involves looking up these z-values in a standard normal distribution table or using a calculator to compute the probability. This area represents the probability of the outcomes lying between these z-scores.
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