12. The condition algebritis affects 20% of college professors. The blood test for algebritis correctly identifies the condition in 99.9% of affected people and incorrectly identifies 1% of healthy people as having the condition [false positives]. Draw a tree diagram to answer the question: What percentage of college professors who test positive actually have the condition? [That is, what is the probability that a college professor is sick given that they test positive?]

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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12. The condition algebritis affects 20% of college professors. The blood test for algebritis
correctly identifies the condition in 99.9% of affected people and incorrectly identifies 1%
of healthy people as having the condition [false positives]. Draw a tree diagram to answer
the question: What percentage of college professors who test positive actually have the
condition? [That is, what is the probability that a college professor is sick given that they
test positive?]
Transcribed Image Text:12. The condition algebritis affects 20% of college professors. The blood test for algebritis correctly identifies the condition in 99.9% of affected people and incorrectly identifies 1% of healthy people as having the condition [false positives]. Draw a tree diagram to answer the question: What percentage of college professors who test positive actually have the condition? [That is, what is the probability that a college professor is sick given that they test positive?]
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