### Understanding Bone Density PercentilesAssume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. 1. **Task**: Draw a graph and find \( P_2 \), the 2nd percentile. This is the bone density score separating the bottom 2% from the top 98%.#### Graph AnalysisFour graphs are provided, labeled as options A, B, C, and D. Each graph features a normal distribution curve with marked points, \( P_2 \), representing the 2nd percentile on the x-axis. Your task is to determine which graph accurately represents \( P_2 \).#### Options:- **Graph A:** Displays a distribution curve with a marked point near the left tail.- **Graph B:** Shows a distribution curve with a marked point slightly further right than Graph A.- **Graph C:** Features a distribution curve with a point further right, closer to the midpoint.- **Graph D:** Demonstrates a curve with a point near the left tail but slightly different from Graph A.### Conclusion:Identify and select the graph that correctly represents \( P_2 \) by analyzing the position of the percentile mark relative to the entire curve.**Note:** The solution requires filling in the box with the bone density score corresponding to \( P_2 \), rounded to two decimal places as needed.

Answered: Image /qna-images/answer/547de9a0-c644-4705-8bb5-73a2c9bd8031.jpg

Answered: Assume that a randomly selected subject…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P,, the 2nd percentile. This is the bone density score separating the bottom 2% from the top 98%. .....