Oliver undergoes a standard medical test while at his regular checkup.The test is 90% reliable in detecting a form of cancer (C)that is found in 2% of the population.In particular,Pr(+|C)= 0.90.The test is also 90% reliable in screening out cancer,that is,Pr(-|H)= 0.90.
(a)If Oliver tests positive,how likely is it that he actually has cancer? If he tests negative,what is his cancer risk?
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