• • An infectious disease occurs in 10% of population Good test has been designed which has a 90% chance of giving correct result - If infected then 90% chance test is positive (10% test is negative) - If not infected then 90% chance test is negative (10% chance test is positive) If you take test and get a positive result, what is chance that you are infected?
• • An infectious disease occurs in 10% of population Good test has been designed which has a 90% chance of giving correct result - If infected then 90% chance test is positive (10% test is negative) - If not infected then 90% chance test is negative (10% chance test is positive) If you take test and get a positive result, what is chance that you are infected?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 59E
Question
Transcribed Image Text:•
•
An infectious disease occurs in 10% of population
Good test has been designed which has a 90% chance
of giving correct result
- If infected then 90% chance test is positive (10% test is negative)
- If not infected then 90% chance test is negative (10% chance
test is positive)
If you take test and get a positive result, what is chance
that you are infected?
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