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]

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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