A test for Crohn's disease classifies 81% of people with the disease as affected and 6% of those who don't have the disease as affected. It is known that about 0.06% of the population has Crohn's disease. a) What are the false positive and false negative rates? Page 3 of 5 b) c) What is the probability that someone tests positive for Crohn's disease? What is the probability that someone classified as affected does in fact have the disease? i) Solve this problem by drawing up a contingency table ii) Solve using conditional probability and the law of total probability.

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