It is known that 8% of the population has some form of malaria. A diagnostic test will test positive 95% of the time among patients with cancer and test negative 90% of the time among patients without cancer. A person selected at random tests positive. What is the probability that he has cancer?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 61E: If P(AB)=0.7, is it possible that P(BA)=0.6? Explain
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It is known that 8% of the population has some form of malaria. A diagnostic test will test positive 95% of the time among patients with cancer and test negative 90% of the time among patients without cancer. A person selected at random tests positive. What is the probability that he has cancer?

O 0.12
O 0.45
O 0.32
O 0.52
Transcribed Image Text:O 0.12 O 0.45 O 0.32 O 0.52
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