It’s never lupus. Lupus is a medical phenomenon where antibodies that are supposed to attack foreign cells to prevent infections instead see plasma proteins as foreign bodies, leading to a high risk of blood clotting. It is believed that 2% of the population suffer from this disease. The test is 98% accurate if a person actually has the disease. The test is 74% accurate if a person does not have the disease. 1. Draw a tree diagram of the scenario described above including all appropriate notation 2. What is the probability that a person has lupus and tests positive for the disease?  3. There is a line from the Fox television show House that is often used after a patient tests positive for lupus: ’It’s never lupus.’ Do you think there is truth to this statement?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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It’s never lupus. Lupus is a medical phenomenon where antibodies that are supposed to attack foreign
cells to prevent infections instead see plasma proteins as foreign bodies, leading to a high risk of blood
clotting. It is believed that 2% of the population suffer from this disease. The test is 98% accurate if a
person actually has the disease. The test is 74% accurate if a person does not have the disease.

1. Draw a tree diagram of the scenario described above including all appropriate notation

2. What is the probability that a person has lupus and tests positive for the disease? 

3. There is a line from the Fox television show House that is often used after a patient tests positive for lupus: ’It’s never lupus.’ Do you think there is truth to this statement?

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