In a certain region of the country it is known from past experience that the probability of selecting an adult over 40 years of age with cancer is 0.10. 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 is diagnosed as having cancer?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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In a certain region of the country it is known from past experience that the probability of selecting
an adult over 40 years of age with cancer is 0.10. 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 is diagnosed as having cancer?
Transcribed Image Text:In a certain region of the country it is known from past experience that the probability of selecting an adult over 40 years of age with cancer is 0.10. 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 is diagnosed as having cancer?
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