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.

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.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...

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