In a certain region of the country it is known that the probability of selecting an adult over 40 years of age with cancer is 0.05. If the probability of a doctor correctly diagnosing a person with cancer as having the disease is 0.78 and the probability of incorrectly diagnosing a person without cancer as having the disease is 0.06, what is the probability that an adult over 40 years of age was correctly diagnosed as healthy? That is, what is P(Negative | Healthy)? Hint: set this up as a contingency table.

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...
Question
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In a certain region of the country it is known that the probability of selecting an adult over 40 years of age
with cancer is 0.05. If the probability of a doctor correctly diagnosing a person with cancer as having the
disease is 0.78 and the probability of incorrectly diagnosing a person without cancer as having the disease
is 0.06, what is the probability that an adult over 40 years of age was correctly diagnosed as healthy? That
is, what is P(Negative | Healthy)? Hint: set this up as a contingency table.
Transcribed Image Text:In a certain region of the country it is known that the probability of selecting an adult over 40 years of age with cancer is 0.05. If the probability of a doctor correctly diagnosing a person with cancer as having the disease is 0.78 and the probability of incorrectly diagnosing a person without cancer as having the disease is 0.06, what is the probability that an adult over 40 years of age was correctly diagnosed as healthy? That is, what is P(Negative | Healthy)? Hint: set this up as a contingency table.
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