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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The image presents a statistical problem involving a normal distribution related to bone density test scores:

### Problem Statement:
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. The task is to draw a graph and find the probability of a bone density test score greater than -1.82.

### Graphical Options:
There are four graphs labeled A, B, C, and D.

- **Graph A**: Shows the area to the right of -1.82 shaded.
- **Graph B**: Shows the area to the right of 1.82 shaded.
- **Graph C**: Shows the area between -1.82 and 1.82 shaded.
- **Graph D**: Shows the area to the left of -1.82 shaded.

The correct choice (Graph A) represents the area under the normal curve to the right of -1.82, indicating the probability of obtaining a test score greater than -1.82.

### Task:
- Identify and sketch the correct region on the normal distribution graph.
- Calculate the probability of obtaining a score greater than -1.82.

### Calculation Instruction:
The probability is to be calculated and rounded to four decimal places as needed.

For educational purposes, this exercise illustrates the concept of finding probabilities using the standard normal distribution, emphasizing how to interpret and shade the appropriate area under the curve.
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Transcribed Image Text:The image presents a statistical problem involving a normal distribution related to bone density test scores: ### Problem Statement: Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. The task is to draw a graph and find the probability of a bone density test score greater than -1.82. ### Graphical Options: There are four graphs labeled A, B, C, and D. - **Graph A**: Shows the area to the right of -1.82 shaded. - **Graph B**: Shows the area to the right of 1.82 shaded. - **Graph C**: Shows the area between -1.82 and 1.82 shaded. - **Graph D**: Shows the area to the left of -1.82 shaded. The correct choice (Graph A) represents the area under the normal curve to the right of -1.82, indicating the probability of obtaining a test score greater than -1.82. ### Task: - Identify and sketch the correct region on the normal distribution graph. - Calculate the probability of obtaining a score greater than -1.82. ### Calculation Instruction: The probability is to be calculated and rounded to four decimal places as needed. For educational purposes, this exercise illustrates the concept of finding probabilities using the standard normal distribution, emphasizing how to interpret and shade the appropriate area under the curve.
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