In a village 20% children were suffering from malaria. A blood test ordinarily reports positive in 80% cases if the patient was infected by malaria and in 60% cases reports negative if the patient was not infected by malaria. A child was selected at random from the village and the blood test report was positive. Then what is the probability that he is infected by malaria ?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Ca)
In a village 20% children were suffering
from malaria. A blood test ordinarily
reports positive in 80% cases if the patient
was infected by malaria and in 60% cases
reports negative if the patient was not
infected by malaria. A child was selected at
random from the village and the blood test
report was positive. Then what is the
probability that he is infected by malaria ?
Transcribed Image Text:Ca) In a village 20% children were suffering from malaria. A blood test ordinarily reports positive in 80% cases if the patient was infected by malaria and in 60% cases reports negative if the patient was not infected by malaria. A child was selected at random from the village and the blood test report was positive. Then what is the probability that he is infected by malaria ?
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