In a certain region of the country it is known from past experience that the proba- bility 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. (a) What is the probability that an adult over 40 years of age is diagnosed as having cancer? (b) What is the probability that a person diagnosed as having cancer actually does not have the disease?

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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In a certain region of the country it is known from past experience that the proba-
bility 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.
(a) What is the probability that an adult over 40 years of age is diagnosed as
having cancer?
(b) What is the probability that a person diagnosed as having cancer actually
does not have the disease?
Transcribed Image Text:In a certain region of the country it is known from past experience that the proba- bility 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. (a) What is the probability that an adult over 40 years of age is diagnosed as having cancer? (b) What is the probability that a person diagnosed as having cancer actually does not have the disease?
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