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Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with Find the probability that a given score is between -2.01 and 3.74 and draw a sketch of the region. Sketch the region. Choose the correct graph below. OA. -2.01 3.74 Q OB. The probability is Round to four decimal places as needed.) 2.01 3.74 O C. -2.01 3.74 Q G O D. -2.01 3.74

Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with Find the probability that a given score is between -2.01 and 3.74 and draw a sketch of the region. Sketch the region. Choose the correct graph below. OA. -2.01 3.74 Q OB. The probability is Round to four decimal places as needed.) 2.01 3.74 O C. -2.01 3.74 Q G O D. -2.01 3.74

MATLAB: An Introduction with Applications
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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### Understanding Probability with Bone Density Test Scores Assume that a randomly selected subject is given a bone density test. For this example, test scores are normally distributed with a mean of 0 and a standard deviation of 1. We are interested in finding the probability that a given score falls between -2.01 and 3.74. #### Task: 1. Find the probability that a test score is between -2.01 and 3.74. 2. Draw a sketch that represents this probability. #### Graphical Representation: Choose the correct graph from the options below, which highlights the region of the normal distribution curve for the specified range. **Options:** - **A.** A graph with the region between -2.01 and 3.74 shaded. - **B.** A graph with the region outside -2.01 and 3.74 shaded. - **C.** A graph with the region outside -2.01 and 3.74 shaded. The shaded area covers from negative infinity to -2.01 and from 3.74 to positive infinity. - **D.** A graph with the region between -2.01 and 3.74 shaded. #### Question: Which graph correctly represents the shaded region for the probability that a score is between -2.01 and 3.74? #### Answer: Graph **A** and **C** both correctly highlight the region between -2.01 and 3.74, which is the area of interest for our calculation. #### Probability Calculation: The probability is \[ \boxed{0.9785} \] (Note: Please calculate using appropriate statistical tools if necessary) ### Conclusion: By understanding how to read and interpret these normal distribution graphs, we can easily determine the region of interest and calculate the associated probabilities. This is a fundamental skill in statistics, particularly in applied fields such as medical testing and research. #### Note: Always round off your answers to four decimal places unless stated otherwise.
Transcribed Image Text:### Understanding Probability with Bone Density Test Scores Assume that a randomly selected subject is given a bone density test. For this example, test scores are normally distributed with a mean of 0 and a standard deviation of 1. We are interested in finding the probability that a given score falls between -2.01 and 3.74. #### Task: 1. Find the probability that a test score is between -2.01 and 3.74. 2. Draw a sketch that represents this probability. #### Graphical Representation: Choose the correct graph from the options below, which highlights the region of the normal distribution curve for the specified range. **Options:** - **A.** A graph with the region between -2.01 and 3.74 shaded. - **B.** A graph with the region outside -2.01 and 3.74 shaded. - **C.** A graph with the region outside -2.01 and 3.74 shaded. The shaded area covers from negative infinity to -2.01 and from 3.74 to positive infinity. - **D.** A graph with the region between -2.01 and 3.74 shaded. #### Question: Which graph correctly represents the shaded region for the probability that a score is between -2.01 and 3.74? #### Answer: Graph **A** and **C** both correctly highlight the region between -2.01 and 3.74, which is the area of interest for our calculation. #### Probability Calculation: The probability is \[ \boxed{0.9785} \] (Note: Please calculate using appropriate statistical tools if necessary) ### Conclusion: By understanding how to read and interpret these normal distribution graphs, we can easily determine the region of interest and calculate the associated probabilities. This is a fundamental skill in statistics, particularly in applied fields such as medical testing and research. #### Note: Always round off your answers to four decimal places unless stated otherwise.
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