Answer Let 「true cancer patient」,
「tested positive by detailed examination. If the patient shows a positive reaction as a result of the detailed examination, the probability of being a cancer patient is calculated. The fact that a patient who shows a positive reaction as a result of a detailed examination is a cancer patient is to find
P(cancer patient
positive by detailed examination).
positive | negative | |
cancer patient | 0.85 | 0.15 |
non cancer patient | 0.05 | 0.95 |
Here,P(positive by detailed exam cancer patient) = 0.85, P(positive by detailed exam
non cancer patient) = 0.05, P(cancer patient) = 0.05
is a conditional probability.
By the problem,
. Therefore,
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