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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![needed detailed solution and cleared
explanation for the question below thank you
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?
b) What is the probability that a person diagnosed as not having cancer actually does not have the
disease?
c)
What can be concluded from the results of (a) and (b)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F95d2fc22-4d7f-4514-be9c-6d5bfd742307%2F49740c37-2954-4e63-8b37-dfbb18e83569%2Fo6wkk5f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:needed detailed solution and cleared
explanation for the question below thank you
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?
b) What is the probability that a person diagnosed as not having cancer actually does not have the
disease?
c)
What can be concluded from the results of (a) and (b)?
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