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A new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into
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Answer #1
P(test indicate cancer)=P(have cancer)*P(test indicate cancer|have cancer)+P(not have cancer)*P(test indicate cancer|not have cancer)
=0.04*0.99+0.96*0.01=0.0492
therefore P(have cancer|test indicate cancer)=P(have cancer)*P(test indicate cancer|have cancer)/P(test indicate cancer)=0.04*0.99/0.0492 =0.805
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