During an outbreak, a test is administered for the (fictional) disease stelastr. The chance is 0.9 of a positive result if someone has stelastr and the chance of a negative result if someone does not have stelastr is 0.6 What is the chance of a negative result if someone has stelastr? [Select] The chance that someone in the general population has stelastr is 0.7 What is the chance that someone in the general population does not have stelastr? [Select] Recall the partition theorem. The chance of a positive result is (the chance of a positive result and the patient has stelastr) plus (the chance of a positive result and the patient does not have stelastr). P(X) = P(X|Y) P(Y) + P(X| not Y) P( not Y) What is the chance of a positive result and the patient has stelastr? [Select] We want to figure out the chance that a positive test result means the patient has stelastr. This is Bayes's formula P(B|A) = P(A|B) P(B)/P(A) The terms on the right hand side we already know, and the term on the left is what we want to know. What should we choose for A? [Select] What should we choose for B? [Select] The patient's test result was positive. Use Bayes formula to calculate the chance the patient has stelastr [Select]
During an outbreak, a test is administered for the (fictional) disease stelastr. The chance is 0.9 of a positive result if someone has stelastr and the chance of a negative result if someone does not have stelastr is 0.6 What is the chance of a negative result if someone has stelastr? [Select] The chance that someone in the general population has stelastr is 0.7 What is the chance that someone in the general population does not have stelastr? [Select] Recall the partition theorem. The chance of a positive result is (the chance of a positive result and the patient has stelastr) plus (the chance of a positive result and the patient does not have stelastr). P(X) = P(X|Y) P(Y) + P(X| not Y) P( not Y) What is the chance of a positive result and the patient has stelastr? [Select] We want to figure out the chance that a positive test result means the patient has stelastr. This is Bayes's formula P(B|A) = P(A|B) P(B)/P(A) The terms on the right hand side we already know, and the term on the left is what we want to know. What should we choose for A? [Select] What should we choose for B? [Select] The patient's test result was positive. Use Bayes formula to calculate the chance the patient has stelastr [Select]
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![During an outbreak, a test is administered for the (fictional) disease stelastr. The chance is 0.9 of a
positive result if someone has stelastr and the chance of a negative result if someone does not
have stelastr is 0.6
What is the chance of a negative result if someone has stelastr? [Select]
The chance that someone in the general population has stelastr is 0.7
What is the chance that someone in the general population does not have stelastr?
[Select]
Recall the partition theorem. The chance of a positive result is (the chance of a positive result and
the patient has stelastr) plus (the chance of a positive result and the patient does not have
stelastr). P(X) = P(X|Y) P(Y) + P(X| not Y) P( not Y)
What is the chance of a positive result and the patient has stelastr? [S
[Select]
We want to figure out the chance that a positive test result means the patient has stelastr. This is
Bayes's formula
P(B|A) = P(A/B) P(B)/P(A)
The terms on the right hand side we already know, and the term on the left is what we want to
know.
What should we choose for A?
[Select]
What should we choose for B? [Select]
The patient's test result was positive. Use Bayes formula to calculate the chance the patient has
stelastr [Select]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff57d3743-5e44-4060-83da-5d90a37d31c6%2Fbe5ec0c1-8c1d-46f2-a5db-8044308e4dbb%2F3m8k3m_processed.png&w=3840&q=75)
Transcribed Image Text:During an outbreak, a test is administered for the (fictional) disease stelastr. The chance is 0.9 of a
positive result if someone has stelastr and the chance of a negative result if someone does not
have stelastr is 0.6
What is the chance of a negative result if someone has stelastr? [Select]
The chance that someone in the general population has stelastr is 0.7
What is the chance that someone in the general population does not have stelastr?
[Select]
Recall the partition theorem. The chance of a positive result is (the chance of a positive result and
the patient has stelastr) plus (the chance of a positive result and the patient does not have
stelastr). P(X) = P(X|Y) P(Y) + P(X| not Y) P( not Y)
What is the chance of a positive result and the patient has stelastr? [S
[Select]
We want to figure out the chance that a positive test result means the patient has stelastr. This is
Bayes's formula
P(B|A) = P(A/B) P(B)/P(A)
The terms on the right hand side we already know, and the term on the left is what we want to
know.
What should we choose for A?
[Select]
What should we choose for B? [Select]
The patient's test result was positive. Use Bayes formula to calculate the chance the patient has
stelastr [Select]
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