A relatively rare disease D occurs with P(D)=0.01. There exists a diagnostic test such that: P(positive test | D)= 0.99 P(positive test | not D)=0.1 Using the bayes rule, what is P(D | positive test)?

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.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 28E
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A relatively rare disease D occurs with P(D)=0.01. There exists a diagnostic test such that:

P(positive test | D)= 0.99

P(positive test | not D)=0.1

Using the bayes rule, what is P(D | positive test)?

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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,