Question 7 ### Understanding Probability with Bone Density Test ScoresAssume 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.

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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

See similar textbooks