4. In a certain country region, it is known from past experience that the probability of selecting an adult over 40 years of age with cancer is 0.05. 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 a person diagnosed as having cancer actually has the disease? What is the probability that a person diagnosed as not having cancer actually does not have the disease? b) c) What can be concluded from the results of (a) and (b)?
4. In a certain country region, it is known from past experience that the probability of selecting an adult over 40 years of age with cancer is 0.05. 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 a person diagnosed as having cancer actually has the disease? What is the probability that a person diagnosed as not having cancer actually does not have the disease? b) c) What can be concluded from the results of (a) and (b)?
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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